[Picture of Marvin Girardeau]

Marvin D. Girardeau

Research Professor of Optical Sciences, University of Arizona, 2000-
Professor Emeritus of Physics, University of Oregon, 1995-
Professor of Physics, University of Oregon, 1967-1995
Associate Professor of Physics, University of Oregon, 1963-1967

School of Optical Sciences
University of Arizona
Tucson, AZ 85721
Phone: (520)626-3491
                                          Email: girardeau@optics.arizona.edu

Education:

Postdoctorals:

Honors and Awards:

Current research interests:

Selected and Recent Publications and Talks:

1. M. Girardeau and R.Arnowitt, "Theory of Many-Boson Systems: Pair Theory", Phys. Rev. 113, 755 (1959).

2. M. Girardeau,"Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension", J. Math. Phys. 1, 516 (1960).

3. M.D. Girardeau, "Permutation Symmetry of Many-Particle Wave Functions", Phys. Rev. 139, B500 (1965).

4. M.D. Girardeau and R.M. Mazo, "Variational Methods in Statistical Mechanics", in Advances in Chemical Physics XXIV, eds. I. Prigogine and S.A. Rice (Academic, New York, 1974), 187-255.

5. M.D. Girardeau, "Formulation of the Many-Body Problem for Composite Particles", in Lectures in Theoretical Physics XIVB, Mathematical Methods in Theoretical Physics, ed. Wesley E. Brittin (Colorado Associated University Press, Boulder, 1973), 147-249.

6. M.D. Girardeau, "Second Quantization Representation for Systems of Atoms, Nuclei, and Electrons", Phys. Rev. Lett. 27, 1416 (1971).

7. M.D. Girardeau, "Gibbs-Bogoliubov Variational Principle for Born-Oppenheimer Systems", Phys. Rev. A 41, 4496 (1990).

8. M.D. Girardeau, "Invariant Criteria for Bound States, Degree of Ionization, and Plasma Phase Transition", Phys. Rev. A 41, 6935 (1990).

9. M.D. Girardeau, "Variational Method for the Quantum Statistics of Many-Particle Systems", Phys. Rev. A 42, 3303 (1990).

10. M.D. Girardeau, K.G. Kim, and C.C. Widmayer, "Theory of Atomic Excitation and Ionization by Ultrashort Laser Pulses", Phys. Rev. A 46, 5932 (1992).

11. K.G. Kim, C.C. Widmayer, and M.D. Girardeau, "Closed Expressions for Partial-Wave Photoelectron Spectra and Angular Distributions: A Ground State Hydrogen Atom Struck by a Temporal Delta-Function Pulse", Phys. Rev. A 47, 2856 (1993).

12. K.G. Kim and M.D. Girardeau, "Optimal Control of Strongly Driven Quantum Systems: Fully Variational Formulation and Nonlinear Eigenfields", Phys. Rev. A 52, R891 (1995).

13. M.D. Girardeau, M. Ina, S. Schirmer, and T. Gulsrud, "Kinematical Bounds on Evolution and Optimization of Mixed Quantum States", Phys. Rev. A 55, R1565 (1997).

14. M.D. Girardeau, G. Krein, and D. Hadjimichef, "Field-Theoretic Approach for Systems of Composite Hadrons", Mod. Phys. Lett. 11, 1121 (1996).

15. M.D. Girardeau S. Schirmer, J.V. Leahy, and R.M. Koch, "Kinematical Bounds on Optimization of Observables for Quantum Systems", Phys. Rev. A 58, 2684 (1998).

16. M.D. Girardeau, "Comment on Particle-number Conserving Bogoliubov Method which Demonstrates the Validity of the Gross-Pitaevskii Equation for a Highly Condensed Bose Gas", Phys. Rev. A 58, 775 (1998).

17. M.D. Girardeau, "Variational Pair Theory of Many-boson Systems: Origins and Application to Trapped Atomic BEC", in Relativity, Particle Physics and Cosmology (Proceedings of the Richard Arnowitt Fest, Texas A&M University, 5-7 April 1998), ed. Roland E. Allen (World Scientific, 1999), pp. 190 ff.

18. S.G. Schirmer, M.D. Girardeau, and J.V. Leahy, "Efficient Algorithm for Optimal Control of Mixed-state Quantum Systems", Phys. Rev. A 61, 012101 (2000).

19. M.D. Girardeau and E.M. Wright, "Dark solitons in a one-dimensional condensate of hard core bosons", Phys. Rev. Lett. 84, 5691 (2000).

20. M.D. Girardeau and E.M. Wright, "Breakdown of time-dependent mean-field theory for a one-dimensional condensate of impenetrable bosons", Phys. Rev. Lett. 84, 5239 (2000).

21. M.D. Girardeau, E.M. Wright, and J.M. Triscari, "Ground state properties of a one-dimensional system of hard core bosons in a harmonic trap", Phys. Rev. A 63, 033601 (2001).

22. M.D. Girardeau and E.M. Wright, "Comment on "Strongly interacting one-dimensional Bose-Einstein condensates in harmonic traps"", cond-mat/0010457 (2000).

23. M.D. Girardeau and E.M. Wright, "Measurement of one-particle correlations and momentum distributions for trapped 1D gases", Phys. Rev. Lett. 87, 050403 (2001).

24. M.D. Girardeau and E.M. Wright, "Quantum mechanics of one-dimensional trapped Tonks gases", Laser Physics 12, 8 (2002).

25. M.D. Girardeau and E.M. Wright, "Bose-Fermi variational theory of the Bose-Einstein condensate crossover to the Tonks gas", Phys. Rev. Lett. 87, 210401 (2001).

26. G.J. Lapeyre Jr., M.D. Girardeau, and E.M. Wright, "Momentum distribution for a one-dimensional trapped gas of hard-core bosons", Phys. Rev. A 66, 023606 (2002).

27. M.D. Girardeau, Kunal K. Das, and E.M. Wright, "Theory of a a one-dimensional double-X-junction atom interferometer", Phys. Rev. A 66, 023604 (2002).

28. Kunal K. Das, M.D. Girardeau, and E.M. Wright, "Crossover from one to three dimensions for a gas of hard-core bosons", Phys. Rev. Lett. 89, 110402 (2002).

29. Kunal K. Das, M.D. Girardeau, and E.M. Wright, "Interference of a thermal Tonks gas on a ring", Phys. Rev. Lett. 89, 170404 (2002).

30. M.D. Girardeau, "Dynamics of Lieb-Liniger gases", Phys. Rev. Lett. 91, 040401 (2003).

31. M.D. Girardeau and M. Olshanii, "Fermi-Bose mapping and N-particle ground state of spin-polarized fermions in tight atom waveguides", arXiv:cond-mat/0309396 (2003).

32. M.D. Girardeau and M. Olshanii, "Theory of spinor Fermi and Bose gases in tight atom waveguides", Phys. Rev. A. 70, 023608 (2004).

33. M.D. Girardeau, Hieu Nguyen, and M. Olshanii, "Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides", Optics Communications 243, 3 (2004), in special issue "Degenerate Quantum Gases".

34. M.D. Girardeau and E.M. Wright,  "Static and Dynamic Properties of Trapped Fermionic Tonks-Girardeau Gases", Phys. Rev. Lett. 95, 010406 (2005).

35. V.I. Yukalov and M.D. Girardeau, "Fermi-Bose mapping for one-dimensional Bose gases", Laser Phys. Lett. 2, 375 (2005)..

36. M.D. Girardeau and A. Minguzzi,  "Bosonization, Pairing, and Superconductivity of the Fermionic Tonks-Girardeau Gas", Phys. Rev. Lett. 96, 080404 (2006).

37. A. Minguzzi and M.D. Girardeau, "Pairing of a Harmonically Trapped Fermionic Tonks-Girardeau Gas",  Phys. Rev. A 73, 063614 (2006).

38. M.D. Girardeau, "Anyon-Fermion Mapping and Applications to Ultracold Gases in Tight Waveguides", Phys. Rev. Lett. 97, 100402 (2006).

39. M.D. Girardeau, "Ground and Excited States of Spinor Fermi Gases in Tight Waveguides and the Lieb-Liniger-Heisenberg Model", Phys. Rev. Lett.  97, 210401 (2006).

40. A. del Campo, J.G. Muga, and M.D. Girardeau,  "Stability of Spinor Fermi Gases in Tight Waveguides",  Phys. Rev. A 76, 013615 (2007).

41. M.D. Girardeau and A. Minguzzi,  "Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides",  Phys. Rev. Lett. 99, 230402 (2007).

42. M.D. Girardeau,  "Soluble Models of Strongly Interacting Two-level Ultracold Gases in Tight Waveguides with Coupling to the Quantized Electromagnetic Field",  arXiv:cond-mat.other/0706.1884 (2007).

43. M.D. Girardeau and E.M. Wright, "Rotating Ground States of a One-Dimensional Spin-Polarized Gas of Fermionic Atoms with Attractive p-Wave Interactions on a Mesoscopic Ring",  Phys. Rev. Lett. 100, 200403 (2008).

44. M.D. Girardeau and E.M. Wright, "Bright and Dark Solitary Waves in a One-Dimensional Spin-Polarized Gas of Fermionic Atoms with p-Wave Interactions in a Hard-Wall Trap",  Phys. Rev. A 77, 043612 (2008).

45. M.D. Girardeau and A. Minguzzi,  "Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons", Phys. Rev. A 79, 033610 (2009). 

46. M.D. Girardeau,  "Pairing, Off-diagonal Long-range Order, and Quantum Phase Transition in Strongly Attracting Ultracold Bose Gas Mixtures in Tight Waveguides",  Phys. Rev. Lett. 102, 245303 (2009).

47. M.D. Girardeau and G.E. Astrakharchik,  "Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas",  Phys. Rev. A 81, 061601(R) (2010). 

48. M.D. Girardeau and G.E. Astrakharchik,  "Ground state of a mixture of two bosonic Calogero-Sutherland gases with strong odd-wave interspecies attraction",  Phys. Rev. A 81, 043601 (2010). 

49. M.D. Girardeau,  "Two super-Tonks-Girardeau states of a trapped one-dimensional spinor Fermi gas",  Phys. Rev. A 82, 011607(R) (2010). 

50. M.D. Girardeau, "Tonks-Girardeau and super Tonks-Girardeau states of a trapped 1D spinor Bose gas",  Phys. Rev. A 83, 011601 (R) (2011). 

51. M.D. Girardeau, "Super Tonks-Girardeau states of trapped 1D Bose and Fermi gases", 20-minute talk at 19th International Laser Physics Workshop (LPHYS'10), Foz do Iguacu, Brazil, 5-9 July 2010. View with Adobe Acrobat or Acrobat Reader in full-screen mode (Ctrl-L) (not printable).

52. M.D. Girardeau, "Duality mapping methods for strongly-correlated 1D quantum gases", one-hour talk at XXVI Trobades Cientifiques de la Mediterrania, "Correlations in Quantum Gases", Mahon, Menorca, Spain, 30 September-2 October 2010. View with Adobe Acrobat or Acrobat Reader in full-screen mode (Ctrl-L) (not printable).


School of Optical Sciences

Last Updated September 22, 2011