Single-particle density matrix and the momentum distribution of dark "solitons" in a Tonks-Girardeau gas

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 4, 2007, Pages

  Buljan, H ^a   Lelas, K ^a   Pezer, R ^b   Jablan, M ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

^b UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; DENSITY (OPTICAL); DENSITY MEASUREMENT (OPTICAL); PARTICLE OPTICS;

MOMENTUM DISTRIBUTION; SINGLE-PARTICLE DENSITY; TONKS-GIRARDEAU GAS;

SOLITONS;

EID: 35148854045     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.043609     Document Type: Article

References (68)

1. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
2. E. Lieb and W. Liniger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130. 1605 130, 1605 (1963);
3. E. Lieb, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1616 130, 1616 (1963).
4. F. Schreck, L. Khaykovich, K. L. Corwin, G. Ferrari, T. Bourdel, J. Cubizolles, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.080403 87, 080403 (2001);
5. A. Görlitz, J. M. Vogels, A. E. Leanhardt, C. Raman, T. L. Gustavson, J. R. Abo-Shaeer, A. P. Chikkatur, S. Gupta, S. Inouye, T. Rosenband, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 130402 87, 130402 (2001);
6. M. Greiner, I. Bloch, O. Mandel, T. W. Hansch, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.160405 87, 160405 (2001);
7. H. Moritz, T. Stöferle, M. Kohl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.250402 91, 250402 (2003);
8. B. Laburthe Tolra, K. M. O'Hara, J. H. Huckans, W. D. Phillips, S. L. Rolston, and J. V. Porto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.190401 92, 190401 (2004);
9. T. Stöferle, H. Moritz, C. Schori, M. Kohl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004).
10. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
11. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004).
12. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature (London) NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006).
13. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
14. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.3745 85, 3745 (2000).
15. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5413 86, 5413 (2001).
16. M. D. Girardeau and E. M. Wright, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5691 84, 5691 (2000).
17. T. Busch and G. Huyet, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/36/ 12/313 36, 2553 (2003).
18. H. Buljan, O. Manela, R. Pezer, A. Vardi, and M. Segev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.043610 74, 043610 (2006).
19. S. Burger, K. Bongs, S. Dettmer, W. Ertmer, K. Sengstock, A. Sanpera, G. V. Shlyapnikov, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.5198 83, 5198 (1999);
20. J. Denschlag, Science SCIEAS 0036-8075 10.1126/science.287.5450.97 287, 97 (2000).
21. R. Dum, J. I. Cirac, M. Lewenstein, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2972 80, 2972 (1998).
22. Th. Busch, and J. R. Anglin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2298 84, 2298 (2000).
23. A. E. Muryshev, G. V. Shlyapnikov, W. Ertmer, K. Sengstock, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.110401 89, 110401 (2002).
24. E. B. Kolomeisky, T. J. Newman, J. P. Straley, and Xiaoya Qi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.1146 85, 1146 (2000).
25. D. J. Frantzeskakis, N. P. Proukakis, and P. G. Kevrekidis Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.015601 70, 015601 (2004).
26. M. Agren, G. M. Kavoulakis, and A. D. Jackson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.021603 72, 021603 (R) (2005).
27. A. Lenard, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704196 5, 930 (1964);
28. T. D. Schultz, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1704004 4, 666 (1963);
29. H. G. Vaidya and C. A. Tracy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.42.3 42, 3 (1979).
30. D. B. Creamer, H. B. Thacker, and D. Wilkinson, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.23.3081 23, 3081 (1981);
31. M. Jimbo and T. Miwa, Phys. Rev. D PRVDAQ 0556-2821 10.1103/PhysRevD.24. 3169 24, 3169 (1981).
32. M. D. Girardeau, E. M. Wright, and J. M. Triscari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.033601 63, 033601 (2001);
33. G. J. Lapeyre, M. D. Girardeau, and E. M. Wright, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.023606 66, 023606 (2002).
34. A. Minguzzi, P. Vignolo, and M. P. Tossi, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(02)00042-7 294, 222 (2002).
35. M. A. Cazalilla, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002- 00112-5 59, 793 (2002).
36. M. Olshanii and V. Dunjko, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090401 91, 090401 (2003).
37. T. Papenbrock, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.041601 67, 041601 (R) (2003).
38. P. J. Forrester, N. E. Frankel, T. M. Garoni, and N. S. Witte, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.043607 67, 043607 (2003).
39. D. M. Gangardt and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.010401 90, 010401 (2003).
40. G. E. Astrakharchik and S. Giorgini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.031602 68, 031602 (R) (2003).
41. M. Rigol and A. Muramatsu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.031603 70, 031603 (R) (2004).
42. D. M. Gangardt, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/37/40/002 37, 9335 (2004).
43. G. P. Berman, F. Borgonovi, F. M. Izrailev, and A. Smerzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.030404 92, 030404 (2004).
44. M. Rigol and A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240403 94, 240403 (2005).
45. A. Minguzzi and D. M. Gangardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.240404 94, 240404 (2005).
46. J. Brand and A. Yu. Cherny, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033619 72, 033619 (2005).
47. P. J. Forrester, N. E. Frankel, and M. I. Makin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.043614 74, 043614 (2006).
48. D. M. Gangardt and G. V. Shlyapnikov, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/167 8, 167 (2006).
49. M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.050405 98, 050405 (2007).
50. R. Pezer and H. Buljan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.240403 98, 240403 (2007).
51. F. Deuretzbacher, K. Bongs, K. Sengstock, and D Pfannkuche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.013614 75, 013614 (2007).
52. J.-S. Caux, P. Calabrese, and N. A. Slavnov, J. Stat. Mech. J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2007, P01008 (2007).
53. Y. Lin and B. Wu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75. 023613 75, 023613 (2007).
54. J. G. Muga and R. F. Snider, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.3317 57, 3317 (1998).
55. K. Sakmann, A. I. Streltsov, O. E. Alon, and L. S. Cederbaum, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.033613 72, 033613 (2005).
56. M. T. Batchelor, X.-W. Guan, N. Oelkers, and C. Lee, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/36/001 38, 7787 (2005).
57. The behavior of the discrete HCB-lattice model is not fully equivalent to the TG model in a continuous potential; e.g., see M. A. Cazalilla, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.041604 70, 041604 (R) (2004).
58. J. Turunen, A. Vasara, and A. T. Friberg, J. Opt. Soc. Am. A JOAOD6 0740-3232 8, 282 (1991);
59. A. V. Shchegrov and E. Wolf, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.25.000141 25, 141 (2000).
60. M. Mitchell, Z. Chen, M. Shih, and M. Segev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.490 77, 490 (1996);
61. M. Mitchell and M. Segev, Nature (London) NATUAS 0028-0836 10.1038/43136 387, 880 (1997);
62. Z. Chen, M. Mitchell, M. Segev, T. Coskun, and D. N. Christodoulides, Science SCIEAS 0036-8075 10.1126/science.280.5365.889 280, 889 (1998).
63. M. Segev and D. N. Christodoulides, in Incoherent Solitons in Spatial Solitons, edited by, S. Trillo, and, W. Torruellas, (Springer, Berlin, 2001), pp. 87-125.
64. O. Cohen, G. Bartal, H. Buljan, J. W. Fleischer, T. Carmon, M. Segev, and D. N. Christodoulides, Nature (London) NATUAS 0028-0836 10.1038/nature03267 433, 500 (2005).
65. S. Pitois, S. Lagrange, H. R. Jauslin, and A. Picozzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.033902 97, 033902 (2006);
66. for a recent review, see A. Picozzi, Opt. Express OPEXFF 1094-4087 10.1364/OE.15.009063 15, 9063 (2007), and references therein.
67. M. Naraschewski and R. J. Glauber, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4595 59, 4595 (1999).
68. H. Buljan, M. Segev, and A. Vardi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.180401 95, 180401 (2005).