Student and Post-Doctoral Achievements

Awards
  1. Diego Alcala, Quantum Dynamics and Quantum Optics summer school, 71st Scottish Universities Summer School in Physics, Glasgow, Scotland
  2. Justin Anderson, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology
  3. Justin Anderson, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology (second time)
  4. Justin Anderson , Institut d’Etudes Scientifiques de Cargese (Corsica, France) Summer School 2011: “Disordered Systems: From Condensed-Matter Physics to Ultracold Atomic Gases”
  5. David Appelhans, National Science Foundation Research Experience for Undergraduates Fellowship
  6. David Appelhans, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  7. Nicolas Bailey, Summer Internship in Parallel Computational Science, National Center for Atmospheric Research
  8. Erman Bekaroglu, Sao Paulo School of Advanced Science 2011 program on “New trends in quantum matter with cold atoms and molecules”
  9. Daniel Bolton, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  10. Daniel Bolton, Graduate Fellowship, Department of Physics, University of Washington, Seattle
  11. Ariel Bridgeman               , General John A. Wickham Scholarship, Armed Forces Communications and Electronics Association
  12. Ariel Bridgeman               , Tau Beta Pi Scholarship
  13. Ariel Bridgeman               , Lottye Miner Scholarship, Society of Women Engineers – Rocky Mountain Section
  14. Ariel Bridgeman               , Dr. Ivy M. Parker Memorial Scholarship, Society of Women Engineers – National
  15. Ariel Bridgeman               , Engineering Days Engineer from the Department of Physics, Colorado School of Mines
  16. Ariel Bridgeman               , Waltman Award, Colorado School of Mines
  17. Ariel Bridgeman               , Sigma Pi Sigma Honors
  18. Hilary Brown, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  19. Roger Brown, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology
  20. Roger Brown, Graduate Fellowship, Chemical Physics Program, University of Maryland
  21. Roger Brown, NIST Fellowship, Chemical Physics Program, University of Maryland
  22. Roger Brown, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  23. Sara Madison Brown, Outstanding Graduating Senior, McBride Honors Program, Colorado School of Mines
  24. Kelley Commeford, Ryan Sayers Memorial Award, Department of Physics and Department of Mathematical and Computer Sciences, Colorado School of Mines
  25. Kelley Commeford, National Science Foundation Research Experience for Undergraduates Fellowship
  26. Dimitri Dounas-Frazer, National Science Foundation Research Experience for Undergraduates Fellowship
  27. Dimitri Dounas-Frazer, Invited Undergraduate Research Seminar, Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society
  28. Dimitri Dounas-Frazer, Most Technical Content Award, Mathematical and Computer Sciences Field Session, Colorado School of Mines
  29. Dimitri Dounas-Frazer, Outstanding Graduating Senior Award, Department of Physics and Department of Mathematical and Computer Sciences, Colorado School of Mines
  30. Dimitri Dounas-Frazer, Ryan Sayers Memorial Award, Department of Physics and Department of Mathematical and Computer Sciences, Colorado School of Mines
  31. Nathan Eddy, National Science Foundation Research Experience for Undergraduates Fellowship
  32. Anastasia Gladkina, Colorado School of Mines Undergraduate Research Fellowship (x2)
  33. Anastasia Gladkina, National Science Foundation Research Experience for Undergraduates Fellowship
  34. Anastasia Gladkina, Ryan Sayers Memorial Award, Department of Physics and Department of Mathematical and Computer Sciences, Colorado School of Mines
  35. Aaron Glick, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology
  36. Joseph Glick, National Science Foundation Research Experience for Undergraduates Fellowship
  37. Joseph Glick, Best Poster in Physics, Colorado School of Mines Graduate Student Association Research Fair
  38. Deborah Good, National Science Foundation International Research Experience for Undergraduates Fellowship, University of Florida, USA and Cardiff University, UK
  39. Deborah Good, Engineering Days Engineer from the Department of Physics, Colorado School of Mines
  40. Deborah Good, Outstanding Undergraduate Oral Presentation, March Meeting of the American Physical Society
  41. James Ham, Outstanding Undergraduate Oral Presentation, March Meeting of the American Physical Society
  42. James Ham, Best Student Poster Award, 2014 IEEE Conference on Reliability Science for Advanced Materials and Devices
  43. Ann Hermundstad, Ryan Sayers Memorial Award, Department of Physics and Department of Mathematical and Computer Sciences, Colorado School of Mines
  44. Ann Hermundstad, Outstanding Graduating Senior Award, Department of Physics, Colorado School of Mines
  45. Logan Hillberry, National Science Foundation Research Experience for Undergraduates Fellowship
  46. Logan Hillberry, Engineering-Days Engineer, Department of Physics, Colorado School of Mines
  47. Daniel Jaschke, 2015 Les Houches Doctoral Training Summer School in Statistical Physics, Rhones-Alpes, France
  48. Eric Jones, Waltman Award, Colorado School of Mines
  49. Eric Jones, Outstanding Graduation Senior, Department of Physics, Colorado School of Mines
  50. Eric Jones, Ryan Sayers Memorial Award, Department of Physics and Department of Applied Mathematics and Statistics, Colorado School of Mines
  51. Eric Jones, Graduate Research Fellowship, National Science Foundation
  52. Linnea Jones, Ryan Sayers Memorial Award, Department of Physics and Department of Applied Mathematics and Statistics, Colorado School of Mines
  53. Linnea Jones, Sigma Pi Sigma Honors
  54. Kenji Maeda, “Optical Lattice Emulators and Beyond” Program, Aspen Center for Physics, Aspen, CO
  55. Kenji Maeda, “Understanding the common physics in ultracold trapped atoms and states of nuclear and relativistic quark matter” Working Group, Aspen Center for Physics, Aspen, CO
  56. Kenji Maeda, “Fundamental Science and Applications of Ultra-cold Polar Molecules” Program, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA
  57. Dustin McIntosh, National Science Foundation Research Experience for Undergraduates Fellowship
  58. Dustin McIntosh, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  59. Rachel Miller, National Science Foundation Research Experience for Undergraduates Fellowship
  60. Rachel Miller, Ryan Sayers Memorial Award, Department of Physics and Department of Mathematical and Computer Sciences, Colorado School of Mines
  61. Rachel Miller, Outstanding Graduating Senior Award, Department of Physics, Colorado School of Mines
  62. Rachel Miller, Outstanding Graduating Senior Award, Department of Mathematical and Computer Sciences, Colorado School of Mines
  63. Ryan Mishmash, National Science Foundation Research Experience for Undergraduates Fellowship
  64. Ryan Mishmash, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology
  65. Ryan Mishmash, Outstanding Graduating Senior Award, Department of Physics, Colorado School of Mines
  66. Marie McLain, Physics Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  67. Marie McLain, Sigma Pi Sigma Honors
  68. Marie McLain, President’s Senior Scholar Athlete Award
  69. Marie McLain, NCAA Academic All-American, First Team
  70. Marie McLain, General John A. Wickham Scholarship, Armed Forces Communications and Electronics Association
  71. Marie McLain, Sister to Sister Scholarship
  72. Joshua Morain, National Science Foundation Research Experience for Undergraduates Fellowship
  73. Ryan Nora, National Science Foundation Research Experience for Undergraduates Fellowship
  74. Hannah North, National Science Foundation Research Experience for Undergraduates Fellowship
  75. Jennifer Patterson, National Science Foundation Research Experience for Undergraduates Fellowship
  76. Jennifer Patterson, Southwest La Sertoma Scholarship
  77. Jennifer Patterson, Outstanding Graduating Senior Award, Department of Physics, Colorado School of Mines
  78. Jennifer Patterson, University Enrichment Fellowship, Michigan State University
  79. Bryce Robbins, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology
  80. Bryce Robbins, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology (second time)
  81. Bryce Robbins, Presidential Fellowship, Georgia Institute of Technology
  82. Rachel Ryan, National Science Foundation Research Experience for Undergraduates Fellowship
  83. Rachel Ryan, Outstanding Teaching Assistant Award from American Association of Physics Teachers
  84. Sean Santos, National Science Foundation Research Experience for Undergraduates Fellowship
  85. Sean Santos, Summer Internship in Parallel Computational Science, National Center for Atmospheric Research
  86. Gavriil Shchedrin, Blue Key Honor Society Distinguished Faculty Award
  87. Daniel Schirmer, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology
  88. Daniel Schirmer, Summer Undergraduate Research Fellowship at the National Institute of Standards and Technology (second time)
  89. Daniel Schirmer, Tau Beta Pi Fellowship
  90. Daniel Schirmer, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  91. Brian Seaman, National Science Foundation Graduate Fellowship
  92. Nathanael Smith, National Science Foundation Research Experience for Undergraduates Fellowship
  93. Nathanael Smith, National Science Foundation Research Experience for Undergraduates Fellowship
  94. Nathanael Smith, Best Poster, Senior Design Poster Session
  95. Nathanael Smith, Faculty Distinguished Graduate Award, Department of Physics, Colorado School of Mines
  96. Nathanael Smith, Ryan Sayers Memorial Award, Department of Physics and Department of Applied Mathematics and Statistics, Colorado School of Mines
  97. Victor Snyder, Summer Internship in Parallel Computational Science, National Center for Atmospheric Research
  98. David Sommer, National Science Foundation Research Experience for Undergraduates Fellowship
  99. David Sommer, Maryanna Bell Kafadar Award, Colorado School of Mines
  100. Joseph Stevanak, National Science Foundation Research Experience for Undergraduates Fellowship
  101. Joseph Stevanak, Best Senior Design (equiv. to senior thesis) Project
  102. Joseph Stevanak, Science, Mathematics And Research for Transformation Scholarship
  103. Scott Strong, Arizona School of Analysis and Mathematical Physics, Tuscon, AZ, U.S.A.
  104. Scott Strong, Boulder School for Condensed Matter and Materials Physics, 2011 program, “Hydrodynamics”
  105. Scott Strong, Clay Mathematics Summer School: Evolution Equations, Zurich, Switzerland
  106. Marc Valdez, National Science Foundation Research Experience for Undergraduates Fellowship
  107. Marc Valdez, Outstanding Graduating Senior Award, Department of Physics, Colorado School of Mines
  108. David Vargas, National Science Foundation Research Experience for Undergraduates Fellowship
  109. David Vargas, Senior Design Individual Investigator Award (top research award), Department of Physics, Colorado School of Mines
  110. David Vargas, Colorado School of Mines Graduate Fellowship
  111. David Vargas, 2015 Les Houches Doctoral Training Summer School in Statistical Physics, Rhones-Alpes, France
  112. Chris Weaver, National Science Foundation Research Experience for Undergraduates Fellowship
  113. Michael Wall, Boulder School for Condensed Matter and Materials Physics, 2010 program, “Computational and Conceptual Approaches to Quantum Many-Body Systems”
  114. Michael Wall, Institute for Pure and Applied Mathematics “Numerical Approaches to Quantum Many-Body Systems” Program
  115. Michael Wall, “Fundamental Science and Applications of Ultra-cold Polar Molecules” Program, Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA
  116. Michael Wall, Nicholas Metropolis Award for Outstanding Doctoral Thesis Work in Computational Physics, American Physical Society
  117. Sophie Wildt, National Science Foundation Research Experience for Undergraduates Fellowship
  118. Joseph Whalen, Sigma Pi Sigma Honors
  119. Joseph Whalen, AAPT Outstanding Teaching Assistant, Colorado School of Mines
Graduate Theses
  1. Quantum Dynamics of Ultracold Bosons,” Xinxin Zhao, (co-advised with Prof. Biao Wu, Peking University) (2019)
  2. Dark-Bright Solitons in Bose-Einstein Condensates: Dynamics, Scattering, and Oscillations,” Majed Alotaibi (2018)
  3. Many-Body Entangled Dynamics of Closed and Open Systems for Quantum Simulators,” Daniel Jaschke (2018)
  4. Many-Body Quantum Tunneling of Ultracold Bosonic Gases: Quantum Phase Transitions, Bosonic Josephson Junctions, and Mott Switch Atomtronics,” Marie McLain (2018)
  5. Realizing Fractional Derivatives of Elementary and Composite Functions through the Generalized Euler’s Integral Transform and Integer Derivative Series: Building the Mathematical Framework to Model the Fractional Schroedinger Equation in Fractional Spacetime,” Anastasia Gladkina (2018)
  6. Geometric Quantum Hydrodynamics and Bose-Einstein Condensates: Non-Hamiltonian Evolution of Vortex Lines,” Scott Strong (2018)
  7. Quantum Complexity: Quantum Mutual Information, Complex Networks, and Emergent Phenomena in Quantum Cellular Automata,” David Vargas (2016)
  8. Entanglement and Complexity in Quantum Elementary Cellular Automata,” Logan Hillberry (2016)
  9. “AC control of atom dynamics and transport in Bose-Einstein condensates,” Martin Heimsoth (co-advised with Profs. Fernando Sols and Charles Creffield), Complutense University, Madrid (2013)
  10. Quantum Many Body Physics of Ultracold Molecules in Optical Lattices: Models and Simulation Methods,” Michael Wall (2012)
  11. The Nonlinear Dirac Equation in Bose-Einstein Condensates,” Laith Haddad (2012)
  12. Symmetry Breaking and Singularity Structure in Bose-Einstein Condensates,” Kelley Commeford (2012)
  13. Modeling Self-heating and Negative Bias Temperature Instability in Fin-FETs,” David Sommer (2012)
  14. Entangled Quantum Dynamics via Macroscopic Quantum Tunneling of Bright Solitons in Bose-Einstein Condensates,” Joseph Glick (2011)
  15. Rapid Spectrophotometric Detection for Analysis of Bacterial Contamination in Water,” Sarah Spence (2011)
  16. Nonlinear Scattering of Bose-Einstein Condensates on a Finite Barrier,” Rachel Miller (2010)
  17. Quantum Many-Body Dynamics of Ultracold Bosons in One-Dimensional Optical Lattices: Theoretical Aspects, Simulations Methods, and Soliton Formation and Stability,” Ryan Mishmash (2008)
  18. Quantum Fluctuations in the Dynamics of Bose-Einstein Condensates,” Victor Snyder (2008)
  19. Ultracold Bosons in a Multi-Dimensional, Titled, Double-Well Trap: Potential Decoherence, Tunneling Resonances, and Two-Level Phenomena,” Dimitri Dounas-Frazer (2007)
Job OUTCOMes

(Name, Final Degree*/Position in Group and Year –> First position obtained after leaving group)

  1. Majed Alotaibi, Ph.D. 2018 –> Assistant Professor, Department of Physics, University of Kuwait
  2. David Appelhans, B.S. 2008  –> Ph.D. student, Department of Applied Mathematics, University of Colorado, Boulder
  3. Nicholas Bailey, B.S. 2008 –> System Administrator, Left Hand Networks, Boulder, Colorado
  4. Clarisa Benett, B.S. 2018 –> TBA
  5. Daniel Bolton, B.S. 2006 –> Ph.D. student, Department of Physics, University of Washington, Seattle
  6. Ariel Bridgeman, B.S. 2013 –> M.S. student, High Energy Cosmic Ray Group, Department of Physics, Colorado School of Mines
  7. Hilary Brown, B.S. 2008 –> M.S. student, Department of Engineering, Colorado School of Mines
  8. Roger Brown, B.S. 2007 –> Ph.D. student, Department of Chemical Physics, University of Maryland
  9. Sara Madison Brown, B.S. 2015 –> Medical student, University of Colorado, Denver
  10. Nicholas Chancellor, B.S. 2007 –> Ph.D. student, Department of Physics, University of Southern California
  11. Robert Chiaramonte, M.S. 2004 (CU Boulder) –> Project Leader, The Boston Consulting Group
  12. Kelley Commeford, M.S. 2011 –> High School Teacher, Teach for America Program, Texas
  13. Shannon Craig, B.S. 2016 –> M.S. student, Applied Mathematics and Statistics Department, Colorado School of Mines
  14. Dimitri Dounas-Frazer, M.S. 2007 –> Ph.D. student, Department of Physics, University of California, Berkeley
  15. Nathan Eddy, B.S. 2011 –> Ph.D. student, Department of Physics, Rice University
  16. Miguel Angel Garcia-March, Post-doctoral Scholar and Fulbright Fellow, 2009-2011 –> Post-Doctoral Scholar, Thomas Busch group, Department of Physics, University College Cork, Ireland
  17. Creed Flynn, B.S. 2016 –> Materials and Design Engineer, Orbital ATK
  18. Joseph Glick, M.S. 2011 –> Ph.D. student, Department of Physics, Michigan State University
  19. Anastasia Gladkina, M.S. 2018 –> TBA
  20. Adolfo Gomez, B.S. 2009 –> Programmer, Hewlett-Packard
  21. Deborah Good, B.S. 2014 –> M.S. student, Department of Astronomy and Astrophysics, U. British Columbia
  22. Laith Haddad, Ph.D. 2012, Post-doctoral scholar 2012 –> Energy Consultant, Boulder, Colorado
  23. Derek Hart, B.S. 2016 –> Ph.D. student, Department of Physics, Georgia Institute of Technology, Atlanta, Georgia
  24. Ann Hermundstad, B.S. 2006 –> Ph.D. student, Department of Physics, University of California, Santa Barbara
  25. Martin Heimsoth, Ph.D. 2014 (Fernando Sols group, University of Complutense, Madrid)               –> Referent Risk Decision Methodology (Financial Analyst), Santander Consumer Bank Germany AG
  26. Logan Hillberry, M.S. 2016 –> Ph.D. student, Department of Physics, University of Texas, Austin, Texas
  27. Nicholas Hunter, B.S. 2009 –> M.S. student, Department of Engineering, Colorado School of Mines
  28. Daniel Jaschke, Ph.D. 2018 –> TBA
  29. Michael Johnson, B.S. 2010 –> Engineer/Scientist – Development, Systems and Technology Group, IBM, Vermont
  30. Eric Jones, B.S. 2015 –> Ph.D. student, Department of Physics, University of California, Santa Barbara
  31. Linnea Jones, B.S. 2013 –> Ph.D. student, Department of Ecology and Evolution, University of Chicago
  32. Colin Justis, B.S. 2008 –> M.S. student, Department of Mathematical and Computer Sciences, Colorado School of Mines
  33. Clarisa Benett, B.S. 2018 –> TBA
  34. Khan Mahmud, Ph.D. 2004 (U. Washington) –> Post-doctoral scholar, Luming Duan group, Department of Physics, University of Michigan
  35. Brett Manning, B.S. 2009 –> Ph.D. student in nuclear physics, Rutgers University
  36. Justin Mark, B.S. 2007 –> Ph.D. student, Interdepartmental Neuroscience Program, University of California, Irvine
  37. Dustin McIntosh, B.S. 2007 –> Ph.D. student, Department of Physics, University of California, Santa Barbara
  38. Marie McLain, Ph.D. 2018 –> Physicist, Northrop Grumman
  39. Rachel Miller, M.S. 2010 –> Ph.D. student, Department of Physics, Toronto University, Ontario, Canada
  40. Ryan Mishmash, M.S. 2008 –> Ph.D. student, Department of Physics, University of California, Santa Barbara
  41. John Mize, M.S. 2015 –> Ph.D. student, Department of Physics, North Carolina State University
  42. Barrett Nibling, B.S. 2009 –> M.S. student, Department of Engineering, Colorado School of Mines
  43. Ryan Nora, B.S. 2008 –> Ph.D. student, Department of Physics, University of Rochester, New York
  44. Jennifer Patterson, B.S. 2011 –> Ph.D. student, Department of Physics, Michigan State University
  45. Bryce Robbins, B.S. 2011 –> Ph.D. student, Department of Physics, Georgia Institute of Technology, Atlanta
  46. Rachel Ryan, B.S. 2011 –> Ph.D. student, Department of Physics, University of Washington, Seattle
  47. Chrisman Scherf III, B.S. 2006 –> Electrical Engineer Associate, United Launch Alliance, Littleton, Colorado
  48. Daniel Schirmer, B.S. 2007 –> M.S. student, Mark Lusk group, Department of Physics, Colorado School of Mines
  49. Allie Schirmer, B.S. 2008 –> M.S. student, Department of Computer Science, University of Colorado
  50. Brian Seaman, Ph.D. 2008 (CU Boulder) –> Software Engineer, Truveo, San Francisco, California
  51. Gavriil Shchedrin, Post-doctoral scholar 2015-2018 –> Research Assistant Professor, Department of Physics, Colorado School of Mines
  52. Nathanael Smith, B.S. 2018 –> Ph.D. student, Department of Physics, University of California, Los Angeles, California
  53. Victor Snyder, M.S. 2007 –> Aerospace Corporation, Los Angeles, California
  54. David Sommer, M.S. 2012 –> Ph.D. student, Department of Physics, University of Washington, Seattle
  55. Sarah Spence, M.S. 2011 –> M.S. student, Medical Physics Program, Dept. of Applied Physics and Applied Mathematics, Columbia University
  56. Joseph Stevanak, B.S. 2010 –> Researcher, U.S. Army Communications-Electronics, Research, Development and Engineering Center, Aberdeen, Maryland
  57. Scott Strong, Ph.D. 2018 –> Teaching Professor, Department of Applied Mathematics and Statistics, Colorado School of Mines
  58. Alec Thompson, B.S. 2015 –> Controls Engineer, Wunderlich-Malec
  59. Gregor Urban, Bachelorarbeit 2012 (Weidemueller group, Dept. Physics, University of Heidelberg) –> Ph.D. student, Machine Learning, Computer Science Dept., University of California, Irvine
  60.  Marc Valdez, B.S. 2016 –> Consulting Engineer, 47Lining, A REAN Cloud Company
  61. David Vargas, M.S. 2016 –> Ph.D. student, Department of Chemical Pysics, University of Maryland
  62. Michael Wall, Ph.D. 2012, Post-doctoral Scholar 2012-2013 –> Post-Doctoral Scholar, JILA, University of Colorado and National Institute of Standards and Technology, Boulder, Colorado
  63. Chris Weaver, B.S. 2011 –> Design Engineer, Tower Engineering Professionals, Denver, Colorado
  64. Joseph Whalen, B.S. 2013 –> Ph.D. student, Department of Physics, Rice University
  65. Benjamin Willett, B.S. 2006 –> Ph.D. student, Department of Applied Physics, Rensselaer Polytechnic Institute
  66. Xinxin Zhao, Ph.D. 2019 –> Patent Engineer, BOE Technology, Beijing, China

*Students obtaining a BS in the Carr Theoretical Physics Research Group perform at least one year of senior research leading to a manuscript or other significant research contribution.  Not included: undergraduates mentored in research who changed departments, only worked with us for a summer, etc.

Invited Presentations
  1. Scott Strong, “Nonlinear Waves on Vortex Filaments in Quantum Liquids: A Geometric Perspective,” The Eleventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia (April 2019)
  2. Anastasia Gladkina, “Generalized Euler’s integral transform,” The Eleventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, University of Georgia (April 2019)
  3. Gavriil Shchedrin, “Sign-definite coherence, coherent population trapping, and frequency doubling in an open driven three-level Lambda-system,” Physics of Quantum Electronics, Snowbird, Utah, U.S.A. (January 2019)
  4. Majed Alotaibi, “Dark-bright Solitons in Bose-Einstein condensates: Dynamics, Scattering, and Oscillation,” Workshop on Nonlinear Physics and Complex Systems, King Fahd University of Petroleum and Minerals, Kingdom of Saudi Arabia (November 2018)
  5. Gavriil Shchedrin, “A path from fractional Schrödinger equation to design and discovery of novel quantum
    materials,” Department of Applied Mathematics, University of Colorado, Boulder, Colorado, U.S.A. (October 2018)
  6. Scott Strong, “Non-Hamiltonian Dynamics of Quantized Vortices,” 3rd Colorado Nonlinear Days, University of Colorado, Colorado Springs, Colorado, U.S.A. (November 2017)
  7. Gavriil Shchedrin, “A path from fractional Schrödinger equation to design and discovery of novel quantum
    materials,” APS Four Corners Meeting, Fort Collins, Colorado, U.S.A. (October 2017)
  8. Gavriil Shchedrin, “Absence of Landau damping in driven three–component Bose–Einstein condensate in optical lattices,” APS Four Corners Meeting, Fort Collins, Colorado, U.S.A. (October 2017)
  9. Gavriil Shchedrin, “Driven two-component Bose-Einstein condensate in optical lattices,” Texas A&M University, College Station, Texas, U.S.A. (January 2017)
  10. Gavriil Shchedrin, “Driven two-component Bose-Einstein condensate in optical lattices,” Physics of Quantum Electronics, Snowbird, UT, U.S.A. (January 2017)
  11. Gavriil Shchedrin, “Many-body physics of ultracold doublet sigma molecules in optical lattices,” Physics of Quantum Electronics, Snowbird, UT, U.S.A. (January 2016)
  12. Michael Wall, “Nicholas Metropolis Award for Outstanding Doctoral Thesis Work in Computational Physics: Quantum many-body physics of ultracold molecules in optical lattices: models and simulation methods,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  13. Laith Haddad, “Solitons in Armchair and Zigzag Geometries in the Nonlinear Dirac Equation,” The Third International Conference: Nonlinear Waves–Theory and Applications, minisymposium on quantum degenerate systems, Beijing, China (June 2013)
  14. Michael Wall, “Many-body physics with up and coming molecules in optical lattices,” Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA (March 2013)
  15. Michael Wall, “Strongly interacting fermions in optical lattices: from few to many particles,” Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA (February 2013)
  16. Erman Bekaroglu, “Many body physics of polar molecules in optical lattices,” The 21st International Laser Physics Workshop University of Calgary, Calgary, Canada (July 2012)
  17. Michael L. Wall, “The Fermi Resonance Hamiltonian,” Rey Group Seminar, JILA, University of Colorado, Boulder (May 2012)
  18. Laith Haddad, “The nonlinear Dirac equation: Relativistic vortices and experimental realization in Bose-Einstein condensates,” Institute for Theoretical Physics, University of Heidelberg, Heidelberg, Germany (February 2012)
  19. Michael L. Wall, “The Molecular Hubbard Hamiltonian,” Physics of Quantum Electronics Conference, Snowbird, Utah, U.S.A. (January 2012)
  20. Miguel Angel Garcia March, “Dynamics of ultracold bosons in 3D double wells,” Workshop on Quantum Transport in Dilute Gases, Benasque, Spain (June 2011)
  21. Laith Haddad, “Relativistic Linear Stability Equations for the Nonlinear Dirac Equation,” The Seventh International Association for Mathematics and Computers in Simulation International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, U.S.A. (April 2011)
  22. Michael Wall, “Tunable molecular many-body physics and the hyperfine molecular Hubbard Hamiltonian,” Quantum Technologies Conference, Torun, Poland (August 2010)
  23. Laith Haddad, “Semions, skyrmions, and a zoo of nonlinear waves in the nonlinear Dirac equation”, 19th International Laser Physics Workshop, Foz do Iguacu, Brazil (July 2010)
  24. Miguel Angel Garcia March, “Macroscopic Superposition States of Cold Bosons in the Double Well with Orbital Degrees of Freedom,” Institute for Cross-Disciplinary Physics and Complex Systems, Balears, Palma de Mallorca, Spain (June 2010)
  25. Laith Haddad, “The Nonlinear Dirac Equation in Bose-Einstein Condensates: Solutions and Spectrum of Low Energy Excitations,” Joint Complex Quantum Systems / CNLD, Center for Nonlinear Dynamics, University of Texas, Austin, Texas, U.S.A. (June 2010)
  26. Laith Haddad, “The Nonlinear Dirac Equation in Bose-Einstein Condensates: Solutions and Spectrum of Low Energy Excitations,” Condensed Matter Physics Seminar, Rice University, Houston, Texas, U.S.A. (May 2010)
  27. Laith Haddad, “The Nonlinear Dirac Equation,” Condensed Matter Division, Los Alamos National Laboratory, Los Alamos, New Mexico, U.S.A. (February 2010)
  28. Miguel Angel Garcia March, “Macroscopic superposition states of ultracold bosons in double well potentials: from a 1D to a full 3D approach with orbital degrees of freedom,” Department of Materials Physics, Universidad Complutense, Madrid, Spain (January 2010)
  29. Michael Wall, “Investigating Many-body Physics with Ultracold Molecules in Optical Lattices,” Max Planck Institute for Quantum Optics, Garching, Germany (October 2009)
  30. Miguel-Angel Garcia March, “Double-Well Schrodinger Cats in Higher Dimensions,” Workshop on Quantum Chemistry and Quantum Computational Physics in the Theory of Ultra-cold Gases, Telluride Science Research Center, Telluride, Colorado, U.S.A. (August 2009)
  31. Dimitri Dounas-Frazer, “Tunneling resonances and entanglement dynamics of ultracold bosons in a tilted two-well potential,” Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Knoxville, Tennessee, U.S.A. (March 2006)
  32. Brian Seaman, “Nonlinear Band Theory in Bose-Einstein Condensates,” International Mathematics and Computer Simulation Conference on Nonlinear Evolution Equations and Wave Phenomena, Athens, Georgia, U.S.A. (April 2005) 
Contributed Presentations
  1. Gavriil Shchedrin, “Absence of Landau damping in driven three–component Bose–Einstein condensate in optical lattices,” APS March Meeting, Los Angeles, California, U.S.A. (March 2018)
  2. Gavriil Shchedrin, “A path from fractional Schrödinger equation to design and discovery of novel quantum
    materials,” APS March Meeting, Los Angeles, California, U.S.A. (March 2018)
  3. Majed Alotaibi, “Dynamics of dark-bright vector solitons in Bose-Einstein condensates,” 3rd Colorado Nonlinear Days, University of Colorado, Colorado Springs, Colorado, U.S.A. (November 2017)
  4. Anastasia Gladkina, “Expanding fractional derivatives in terms of integer order derivatives,” 3rd Colorado Nonlinear Days, University of Colorado, Colorado Springs, Colorado, U.S.A. (November 2017)
  5. Nathanael C. Smith, “Transport phenomena in nanowires for open quantum many-body systems,” Annual Meeting of the APS Four Corners Section, Fort Collins, Colorado, U.S.A. (October 2017)
  6. Majed Alotaibi, “Dynamics of dark-bright vector solitons in Bose-Einstein condensates,” Annual Meeting of the APS Four Corners Section, Fort Collins, Colorado, U.S.A. (October 2017)
  7. Anastasia Gladkina, “Expressing fractional derivatives as integer derivative series: physical and numerical applications,” Annual Meeting of the APS Four Corners Section, Fort Collins, Colorado, U.S.A. (October 2017)
  8. Gavriil Shchedrin, “A path from fractional Schroedinger equation to design and discovery of novel quantum materials,” Annual Meeting of the APS Four Corners Section, Fort Collins, Colorado, U.S.A. (October 2017)
  9. Gavriil Shchedrin, “Absence of Landau damping in driven three-component Bose–Einstein condensate in optical lattices,” Annual Meeting of the APS Four Corners Section, Fort Collins, Colorado, U.S.A. (October 2017)
  10. Scott Strong, “Non-Hamiltonian Dynamics of Quantized Vortices,” Annual Meeting of the APS Four Corners Section, Fort Collins, Colorado, U.S.A. (October 2017)
  11. Gavriil Shchedrin, “Many-body physics of ultracold doublet sigma molecules in optical lattices,” March Meeting of the American Physical Society, Baltimore, Maryland, U.S.A. (March 2016)
  12. Daniel Jaschke, “Entangled Dynamics of the Transverse Quantum Ising Model at Finite Temperature,” Meeting of the Division of Atomic, Molecular, and Optical Physics (DAMOP), American Physical Society, Columbus, Ohio, U.S.A. (June 2015)
  13. Wei Han, “Matrix Product State Open Source Code for Entangled Quantum Systems,” Meeting of the Division of Atomic, Molecular, and Optical Physics (DAMOP), American Physical Society, Columbus, Ohio, U.S.A. (June 2015)
  14. Diego Alcala, “Macroscopic Quantum Tunneling of Bose-Einstein Condensates: Quantum Fluctuations, Entanglement, and Dynamics,” Meeting of the Division of Atomic, Molecular, and Optical Physics (DAMOP), American Physical Society, Columbus, Ohio, U.S.A. (June 2015)
  15. David L. Vargas, “Complex Networks and Quantum Phase Transitions,” Meeting of the Division of Atomic, Molecular, and Optical Physics (DAMOP), American Physical Society, Columbus, Ohio, U.S.A. (June 2015)
  16. Kenji Maeda, “Macroscopic quantum tunneling of a Bose-Einstein condensate through double Gaussian barriers,” Meeting of the Division of Atomic, Molecular, and Optical Physics (DAMOP), American Physical Society, Columbus, Ohio, U.S.A. (June 2015)
  17. Kenji Maeda, “Hyperfine structure of the hydroxyl free radical (OH) in electric and magnetic fields,” Meeting of the Division of Atomic, Molecular, and Optical Physics (DAMOP), American Physical Society, Columbus, Ohio, U.S.A. (June 2015)
  18. Wei Han, “Ultracold molecules in artificial crystals of light,” Colorado School of Mines Department of Physics Graduate Poster Session, Golden, Colorado, U.S.A. (April 2015)
  19. Daniel Jaschke, “Simulating open many-body quantum systems with tensor networks,” Colorado School of Mines Department of Physics Graduate Poster Session, Golden, Colorado, U.S.A. (April 2015)
  20. Daniel Jaschke, “Simulating open many-body quantum systems with tensor networks” (poster), DOQS 2014 – Workshop on Many-Body Dynamics and Open Quantum Systems, Glasgow, Scotland, UK (October 2014)
  21. Aaron Glick, “Quantum Game of Life,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  22. David Larue, “Distinguishing fiction from non-fiction with complex networks,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  23. David Vargas, “Quantum Phase Transitions: A Network Approach,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  24. Kenji Maeda, “Hyperfine structure of OH molecules in electric and magnetic fields,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  25. Justin Anderson, “Complex Solitary Wave Dynamics, Pattern Formation, and Chaos in the Gain-Loss Nonlinear Schroedinger Equation,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  26. Deborah Good, “Macroscopic Quantum Mechanics, Tunnelling, and Classical Gravity,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  27. Michael Wall, “Realizing topological states with polyatomic symmetric top molecules,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  28. Scott Strong, “Generalized Hasimoto Transform, Binormal Flow and Quantized Vortices,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  29. Majed Alotaibi, “Dynamics of Vector Solitons in Bose Einstein Condensates,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  30. James Ham, “Simulating FinFET Self-Heating for Device Reliability,” March meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2014)
  31. Michael Wall, “Strongly Interacting Fermions in Optical Lattices: From Few to Many Particles,” (poster) April meeting of the American Physical Society, Denver, Colorado, U.S.A. (April 2013)
  32. Kenji Maeda, “Phase Diagram of Long-range Quantum Ising Model,” (poster) Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA (March 2013)
  33. Erman Bekaroglu, “The Molecular Hubbard Hamiltonian: Field Regimes and Molecular Species,” (poster) Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA (March 2013)
  34. Michael Wall, “Strongly Interacting Fermions in Optical Lattices: From Few to Many Particles,” (poster) Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA (March 2013)
  35. Michael Wall,”Confinement Modifies Interactions of Ultracold Dipolar Gases on Optical Lattices,” (poster) Kavli Institute for Theoretical Physics, University of California, Santa Barbara, CA (March 2013)
  36. Michael L. Wall, “The Molecular Hubbard Hamiltonian: field regimes and molecular species,” Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Anaheim, CA, U.S.A. (June 2012)
  37. Scott A. Strong, “Generalized Local Induction, Hasimoto’s Map and Admissible Vortex Geometries ,” Arizona School of Analysis and Mathematical Physics, Tuscon, AZ, U.S.A. (March 2012)
  38. Scott A. Strong, “Self-Induced Vortex Filament Dynamics” (poster and talk), Boulder Summer School for Condensed Matter Physics, Boulder, CO, U.S.A. (July 2011)
  39. Michael Wall, “Numerically exact simulations of strongly interacting fermions in an optical lattice” (poster), Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Atlanta, Georgia, U.S.A. (June 2011)
  40. Justin Anderson, “Chaotic soliton dynamics in a gain loss nonlinear schrodinger equation” (poster), School on Disordered Systems: From Condensed-Matter Physics to Ultracold Atomic Gases, Institut d’Etudes Scientifiques de Cargese, Cargese, Corsica, France (June 2011)
  41. Joseph A. Glick, “Macroscopic Quantum Tunneling of Solitons in Bose-Einstein Condensates,” Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Atlanta, Georgia, U.S.A. (June 2011)
  42. Laith Haddad, “Relativistic Vortices in Bose-Einstein Condensates” (poster), Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Atlanta, Georgia, U.S.A. (June 2011)
  43. Jennifer Patterson, “Dynamics of Quantum Phase Transitions and the Kibble-Zurek Mechanism” (poster), Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Atlanta, Georgia, U.S.A. (June 2011)
  44. Scott Strong, “Vortex Filaments, Local Induction and Simulating Quantum Turbulence,” The Seventh International Association for Mathematics and Computers in Simulation International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory, Athens, Georgia, U.S.A. (April 2011)
  45. Miguel Angel Garcia March, “Macroscopic superposition states of cold bosons in an asymmetric double well with orbital degrees of freedom,” March Meeting of the American Physical Society, Dallas, Texas, U.S.A. (March 2011)
  46. Miguel Angel Garcia March, “Ultracold bosons in 3D double wells: macroscopic superposition of vortex states and the tunneling of atoms carrying vorticity,” Thirteenth Annual Southwest Quantum Information and Technology Workshop, Boulder, Colorado, U.S.A. (February 2011)
  47. Michael Wall, “The Hyperfine molecular Hubbard Hamiltonian” (poster), Thirteenth Annual Southwest Quantum Information and Technology Workshop, Boulder, Colorado, U.S.A. (February 2011)
  48. Joseph Glick, “Quantum Many-Body Tunneling of Solitons in Bose-Einstein Condensates” (poster), Meeting of the Four Corners Section of the American Physical Society, Ogden, Utah, U.S.A. (October 2010)
  49. Kelley Commeford, “Symmetry Imprints and Singularity Structure in Nonlinear Dynamics” (poster), Meeting of the Four Corners Section of the American Physical Society, Ogden, Utah, U.S.A. (October 2010)
  50. Sarah Spence, “Spectrophotometric Analysis of Bacterial Contamination in Water” (poster), Meeting of the Four Corners Section of the American Physical Society, Ogden, Utah, U.S.A. (October 2010)
  51. Justin Anderson, “A model for spin wave envelopes in thin film active feedback rings,” Meeting of the Four Corners Section of the American Physical Society, Ogden, Utah, U.S.A. (October 2010)
  52. Justin Anderson, “A Model for the Envelope of Spin Waves in Magnetic Film Feedback Rings,” International Conference on Microwave Magnetics, Northeastern University, Boston, Massachusetts, U.S.A. (June 2010)
  53. Michael L. Wall, “The Molecular Hubbard Hamiltonian” (poster) Boulder School of Condensed matter and materials physics, Boulder, Colorado, U.S.A. (June 2010)
  54. Miguel Angel Garcia March, “How to create macroscopic superposition states of cold bosons in an asymmetric double well,” The 41st Annual Meeting of the Division of Atomic Molecular and Optical Physics of the American Physical Society, Houston, Texas (May 2010)
  55. Miguel Angel Garcia March, “Macroscopic superposition states of cold bosons in an asymmetric double well with Orbital Degrees of freedom” (poster), The 41st Annual Meeting of the Division of Atomic Molecular and Optical Physics of the American Physical Society, Houston, Texas (May 2010)
  56. Scott A. Strong, “The Locally Induced Dynamics of Thin Cored Vortex Geometries with Applications to Bose-Einstein Condensates” (poster), Meeting of the Division of Atomic, Molecular, and Optical Physics, Houston, Texas, U.S.A. (May 2010)
  57. Laith Haddad, “Quasiparticle Spectrum of 2-d Dirac Vortices in Optical Lattices,” The 41st Annual Meeting of the Division of Atomic, Molecular and Optical Physics of the American Physical Society, Houston, Texas, U.S.A. (May 2010)
  58. “Soliton Dynamics of a Line-Vortex Defect Embedded in an Incompressible Inviscid Fluid” (poster), Graduate Student Association Research Fair, Colorado School of Mines, Golden, Colorado, U.S.A. (April 2010)
  59. Michael Wall, “The Molecular Hubbard Hamiltonian” Graduate Student Association Research Fair, Colorado School of Mines, Golden, Colorado, U.S.A. (April 2010)
  60. Laith Haddad, “The Nonlinear Dirac Equation,” March Meeting of the American Physical Society, Portland, Oregon, U.S.A. (March 2010)
  61. Rachel Miller, “Nonlinear Scattering of BECs on a Finite Barrier,” Meeting of the Four Corners Section of the American Physical Society, Golden, Colorado, U.S.A. (October 2009)
  62. “Topological charge selection rule for phase singularities,” Frontier in Optics / Laser Science XXV San Jose, California, U.S.A. (October 2009)
  63. Michael Wall, “Open Source TEBD: software for entangled quantum many-body dynamics,” Meeting of the Four Corners Section of the American Physical Society, Golden, Colorado, U.S.A. (October 2009)
  64. Laith Haddad, “Quasiparticle Spectrum of 2-d Dirac Vortices in Optical Lattices,” Meeting of the Four Corners Section of the American Physical Society, Golden, Colorado, U.S.A. (October 2009)
  65. Michael Wall, “Many-Body Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices,” Colorado Cold Molecule Workshop, University of Colorado, Boulder, Colorado, U.S.A. (June 2009)
  66. Michael Wall, “Investigating Many-body Physics with Ultracold Molecules in Optical Lattices” (poster), Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Charlottesville, Virginia, U.S.A. (May 2009)
  67. Michael Wall, “Many-Body Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices,” Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, Charlottesville, Virginia, U.S.A. (May 2009)
  68. Rachel Miller, “Nonlinear Scattering of Bose-Einstein Condensates on a Finite Barrier,” Meeting of the Mathematical Association of America, Colorado State University, Ft. Collins, Colorado, U.S.A. (April 2009)
  69. Michael Wall, “Many-Body Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices,” Graduate Student Association Research Fair, Colorado School of Mines, Golden, Colorado, U.S.A. (April 2009)
  70. Rachel Miller, “Nonlinear Scattering of Bose-Einstein Condensates on a Finite Barrier,” Graduate Student Association Research Fair, Colorado School of Mines, Golden, Colorado, U.S.A. (April 2009)
  71. Laith Haddad, “Nonlinear Dirac Equation and Condensed Matter / Particle Theory Analogs,” Graduate Student Association Research Fair, Colorado School of Mines, Golden, Colorado, U.S.A. (April 2009)
  72. Ryan Mishmash, “Quantum Dark Soliton Engineering,” Meeting of the Division of Atomic, Molecular, and Optical Physics of the American Physical Society, State College, Pennsylvania, U.S.A. (May 2008)
  73. Rachel Miller, “Nonlinear Scattering Theory,” Meeting of the Four Corners Section of the American Physical Society, Phoenix, Arizona, U.S.A. (November 2007)
  74. Daniel Schirmer, “Quantum Simulations of the Fermi-Bose Hubbard Hamiltonian,” Meeting of the Four Corners Section of the American Physical Society, Phoenix, Arizona, U.S.A. (November 2007)
  75. Dimitri Dounas-Frazer, “Tunneling resonances and entanglement dynamics of ultracold bosons in a tilted two-well potential,” Graduate Student Research Fair, Colorado School of Mines, Golden, Colorado, U.S.A. (April 2007)
  76. Roger Brown, “Spontaneous Magnetization of Harmonically Trapped Ultracold Fermions in an Optical Lattice,” March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  77. Dimitri Dounas-Frazer, “Tunneling resonances and entanglement dynamics of ultracold bosons in a tilted two-well potential,” March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  78. Dustin McIntosh, “Multiple-Scattering of Millimeter Waves in Random Dielectrics,” March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  79. Rachel Miller, “Nonlinear Scattering of Bose-Einstein Condensates on a Finite Barrier” (poster), March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  80. Ryan Mishmash, “Quantum Entangled Dark Solitons in the Bose-Hubbard Model,” March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  81. Ryan Nora, “Numerical simulations for parabolic pulse shaping in non-linear media” (poster), March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  82. Daniel Schirmer, “Quantum Phase Transitions of Ultra Cold Gases in the Fermi-Bose Hubbard Hamiltonian,” March Meeting of the American Physical Society, Denver, Colorado, U.S.A. (March 2007)
  83. Dimitri Dounas-Frazer, “Tunneling resonances and entanglement dynamics of ultracold bosons in a tilted two-well potential,” Meeting of the Southwest Quantum Information Network, Caltech, Pasadena, California, U.S.A. (February 2007)
  84. Daniel Schirmer, “Phases of Ultra Cold Gases in the Fermi-Bose Hubbard Model” (poster), Meeting of the Four Corners Section of the American Physical Society, Salt Lake City, Utah, U.S.A. (October 2006)
  85. Roger Brown, “Spontaneous Magnetization of Harmonically Trapped Ultracold Fermions in an Optical Lattice,” National Institute of Standards and Technology, Gaithersburg, Maryland, U.S.A. (August 2006)
  86. Daniel Schirmer, “Quantum Phase Transitions of Ultra Cold Gases in the Fermi-Bose Hubbard Hamiltonian,” National Institute of Standards and Technology, Gaithersburg, Maryland, U.S.A. (August 2006)