Momentum distribution for a one-dimensional trapped gas of hard-core bosons

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 66, Issue 2, 2002, Pages 1-6

  Lapeyre, G J ^a   Girardeau, M D ^a   Wright, E M ^a  

^a University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; ELEMENTARY PARTICLES; FOURIER TRANSFORMS; GROUND STATE; HAMILTONIANS; MONTE CARLO METHODS;

HARD CORE BOSONS; ONE DIMENSIONAL TRAPPED GAS; SINGLE PARTICLE DENSITY MATRIX; WAVE FUNCTION;

QUANTUM THEORY;

EID: 84983695913     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.66.023606     Document Type: Article

References (25)

1. F. Schreck, L. Khaykovich, K.L. Corwin, G. Ferrari, T. Bourdel, J. Cubizolles, and C. Salomon, Phys. Rev. Lett. 87, 080403 (2001).
2. M. Key, I.G. Hughes, W. Rooijakkers, B.E. Sauer, and E.A. Hinds, Phys. Rev. Lett. 84, 1371 (2000).
3. J.H. Thywissen, R.M. Westervelt, and M. Prentiss, Phys. Rev. Lett. 83, 3762 (1999).
4. D. Müller, D.Z. Anderson, R.J. Grow, P.D.D. Schwindt and E.A. Cornell, Phys. Rev. Lett. 83, 5194 (1999).
5. N.H. Dekker, C.S. Lee, V. Lorent, J.H. Thywissen, S.P. Smith, M. Drndic, R.M. Westervelt, and M. Prentiss, Phys. Rev. Lett. 84, 1124 (2000).
6. K. Bongs, S. Burger, S. Dettmer, D. Hellweg, J. Arlt, W. Ertmer, and K. Sengstock, Phys. Rev. A 63, 031602 (2001).
7. E.A. Hinds, M.G. Boshier, and I.G. Hughes, Phys. Rev. Lett. 80, 645 (1998).
8. M. Vengalattore, W. Rooijakkers, and M. Prentis, e-print physics/0106028.
9. P. Cren, C.F. Roos, A. Aclan, J. Dalibard, and D. Guéry-Odelin (unpublished).
10. A.E. Leanhardt, A.P. Chikkatur, D. Kielpinski, Y. Shin, T.L. Gustavson, W. Ketterle, and D. Pritchard, e-print cond-mat/0203214.
11. M. Greiner, I. Bloch, O. Mandel, T.W. Hänsch, and T. Esslinger, Phys. Rev. Lett. 87, 160405 (2001).
12. A. Görlitz et al., Phys. Rev. Lett. 87, 130402 (2001).
13. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998).
14. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 85, 3745 (2000).
15. M. Girardeau, J. Math. Phys. 1, 516 (1960).
16. M.D. Girardeau, Phys. Rev. 139, B500 (1965); see particularly Secs. II, III, and VI.
17. A. Lenard, J. Math. Phys. 7, 930 (1964).
18. H.G. Vaidya, and C.A. Tracy, Phys. Rev. Lett. 42, 3 (1979).
19. M.D. Girardeau, E.M. Wright, and J.M. Triscari, Phys. Rev. A 63, 033601 (2001).
20. A. Minguzzi, P. Vignolo, and M.P. Tosi, Phys. Lett. A 294, 222 (2002).
21. M.A. Cazalilla, e-print cond-mat/020146.
22. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett. 84, 5691 (2000).
23. A.C. Aitken, Determinants and Matrices (Oliver and Boyd, Edinburgh, 1951), p. 112.
24. E.B. Kolomeisky, T.J. Newman, J.P. Straley, and X. Qi, Phys. Rev. Lett. 85, 1146 (2000).
25. A. Lenard, J. Math. Phys. 7, 1268 (1966).