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

University of Arizona

Tucson, AZ 85721

Phone: (520)626-3491

Email: girardeau@optics.arizona.edu

- B.S., 1952, Case Institute of Technology
- M.S., 1954, University of Illinois (Urbana)
- Ph.D., 1958, Syracuse University

- Institute for Advanced Study (Princeton), 1958-59
- Brandeis University, 1959-60 (with Eugene P. Gross)
- Boeing Scientific Research Laboratories, 1960-61
- University of Chicago, 1961-63 (with Gregor Wentzel)

- Fellow, American Physical Society, 1978-
- Humboldt Prize (U.S. Senior Scientist Award, unsolicited), Alexander von Humboldt Stiftung, Federal Republic of Germany, 1984-85

- Dynamical behavior of ultracold atomic vapors confined in tight de Broglie waveguides
- Foundations of quantum mechanics of identical particles: Bosons, fermions, and anyons
- Fermi-Bose duality in ultracold atomic vapors in tight waveguides

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).