Exactly solvable case of a one-dimensional Bose-Fermi mixture

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 2, 2006, Pages

  Imambekov, Adilet ^a   Demler, Eugene ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-BOSE PARTICLES; BOSE-FERMI MIXTURE; FERMION ISOTOPES;

APPROXIMATION THEORY; BOUNDARY CONDITIONS; GROUND STATE; ISOTOPES; MIXTURES; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING;

FERMIONS;

EID: 33644534161     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.021602     Document Type: Article

References (45)

1. S. Inouye, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 183201 93, 183201 (2004);
2. F. Ferlaino, cond-mat/0510630;
3. C. A. Stan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 143001 93, 143001 (2004).
4. D. Jaksch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3108 81, 3108 (1998).
5. M. Greiner, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
6. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
7. B. Paredes, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004).
8. H. Moritz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 210401 94, 210401 (2005).
9. K. Molmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1804 80, 1804 (1998);
10. L. Viverit, C. J. Pethick, and H. Smith, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.61.053605 61, 053605 (2000);
11. M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 050401 92, 050401 (2004);
12. D.-W. Wang, M. Lukin, and E. Demler, cond-mat/0410494.
13. B. DeMarco and D. S. Jin, Science SCIEAS 0036-8075 10.1126/science.285. 5434.1703 285, 1703 (1999);
14. F. Schreck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 080403 87, 080403 (2001);
15. G. Modugno, Science SCIEAS 0036-8075 10.1126/science.1077386 297, 2240 (2002);
16. Z. Hadzibabic, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 160401 88, 160401 (2002);
17. J. Goldwin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.021601 70, 021601 (R) (2004).
18. A. G. Truscott, Science SCIEAS 0036-8075 10.1126/science.1059318 291, 2570 (2001).
19. T. Giamarchi, Quantum Physics in One Dimension (Clarendon Press, Oxford, UK, 2004).
20. K. K. Das, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90. 170403 90, 170403 (2003).
21. M. A. Cazalilla and A. F. Ho, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.150403 91, 150403 (2003).
22. T. Miyakawa, H. Yabu, and T. Suzuki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013612 70, 013612 (2004);
23. E. Nakano and H. Yabu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72. 043602 72, 043602 (2005).
24. L. Mathey, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 120404 93, 120404 (2004).
25. H. Moritz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 250402 91, 250402 (2003).
26. T. P. Meyrath, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.041604 71, 041604 (R) (2005).
27. R. Cote, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.R4118 57, R4118 (1998).
28. K. Honda, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.021401 66, 021401 (R) (2002);
29. Y. Takasu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 040404 91, 040404 (2003);
30. C. Y. Park and T. H. Yoon, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.055401 68, 055401 (2003).
31. J. P. Burke and J. L. Bohn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.1303 59, 1303 (1999);
32. S. G. Crane, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.011402 62, 011402 (R) (2000).
33. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998).
34. C. K. Lai and C. N. Yang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.393 3, 393 (1971);
35. C. K. Lai, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1666778 15, 954 (1974).
36. E. H. Lieb and W. Liniger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.130.1605 130, 1605 (1963).
37. C. Menotti and S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.043610 66, 043610 (2002).
38. S. Stringari, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 2360 77, 2360 (1996).
39. G. E. Astrakharchik, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.050402 93, 050402 (2004).
40. T. Miyakawa, T. Suzuki, and H. Yabu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.063613 62, 063613 (2000).
41. M. Ogata and H. Shiba, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.41. 2326 41, 2326 (1990).
42. A. Imambekov and E. Demler, Ann. Phys. (to be published); cond-mat/0510801.
43. S. Richard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91. 010405 91, 010405 (2003).
44. F. D. M. Haldane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 47.1840 47, 1840 (1981).
45. M. A. Cazalilla, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/37/7/051 37, S1 (2004).