Spin-density-functional theory for imbalanced interacting Fermi gases in highly elongated harmonic traps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Gao, Xianlong ^a   Asgari, Reza ^b  

^a ZHEJIANG NORMAL UNIVERSITY   (China)

^b INSTITUTE FOR STUDIES IN THEORETICAL PHYSICS AND MATHEMATICS IPM   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DENSITY FUNCTIONAL THEORY; EXCHANGE INTERACTIONS; GROUND STATE; SPIN POLARIZATION;

FERMI GASES; GAUDIN-YANG MODEL; HARMONIC TRAPS; SPIN DENSITY; TWO-SHELL STRUCTURE;

FERMI LEVEL;

EID: 40849102817     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.033604     Document Type: Article

References (50)

1. H. Moritz, T. StÃferle, K. Genter, M. KÃhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.210401 94, 210401 (2005).
2. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Filling, I. Cirac, G. V. Shlyapnikov, T. W. Honsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004)
3. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004).
4. L. Tonks, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.50.955 50, 955 (1936)
5. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960)
6. M. Girardeau, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.139.B500 139, B500 (1965).
7. M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.938 81, 938 (1998)
8. T. Bergeman, M. G. Moore, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.163201 91, 163201 (2003).
9. O. Juillet, F. Gulminelli, and Ph. Chomaz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.160401 92, 160401 (2004).
10. M. D. Girardeau and A. Minguzzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.080404 96, 080404 (2006)
11. A. Minguzzi and M. D. Girardeau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.063614 73, 063614 (2006).
12. Gao Xianlong and W. Wonneberger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.033610 65, 033610 (2002)
13. Gao Xianlong and W. Wonneberger, J. Phys. B 37, 2363 (2004). 0022-3700
14. A. Recati, P. O. Fedichev, W. Zwerger, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.020401 90, 020401 (2003)
15. A. Recati, P. O. Fedichev, W. Zwerger, and P. Zoller, J. Opt. B: Quantum Semiclassical Opt. JOBOFD 1464-4266 10.1088/1464-4266/5/2/359 5, S55 (2003).
16. L. Kecke, H. Grabert, and W. Husler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.176802 94, 176802 (2005).
17. M. Polini and G. Vignale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.266403 98, 266403 (2007)
18. G. E. Astrakharchik, D. Blume, S. Giorgini, and L. P. Pitaevskii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.050402 93, 050402 (2004)
19. G. E. Astrakharchik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72. 063620 72, 063620 (2005).
20. G. Xianlong, M. Polini, R. Asgari, and M. P. Tosi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033609 73, 033609 (2006).
21. M. W. Zwierlein, A. Schirotzek, C. H. Schunck, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.1122318 311, 492 (2006).
22. G. B. Partridge, W. Li, R. I. Kamar, Y. Liao, and R. G. Hulet, Science SCIEAS 0036-8075 10.1126/science.1122876 311, 503 (2006).
23. G. Orso, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070402 98, 070402 (2007).
24. H. Hu, X.-J. Liu, and P. D. Drummond, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070403 98, 070403 (2007).
25. M. M. Parish, S. K. Baur, E. J. Mueller, and D. A. Huse, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.250403 99, 250403 (2007).
26. G. G. Batrouni, M. H. Huntley, V. G. Rousseau, and R. T. Scalettar, e-print arXiv:0710.1353v1.
27. A. E. Feiguin and F. Heidrich-Meisner, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.76.220508 76, 220508 (R) (2007).
28. M. Rizzi, M. Polini, M. A. Cazalilla, M. R. Bakhtiari, M. P. Tosi and R. Fasio, arXiv:0712.3664vl.
29. M. Tezuka and M. Ueda, e-print arXiv:0708.0894v1.
30. M. Gaudin, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(67)90193-4 24A, 55 (1967)
31. C. N. Yang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.19.1312 19, 1312 (1967).
32. S. H. Abedinpour, M. Polini, G. Xianlong, and M. P. Tosi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.015602 75, 015602 (2007).
33. R. J. Magyar and K. Burke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.032508 70, 032508 (2004).
34. R. J. Magyar, e-print arXiv:0708.3265v1.
35. M. T. Batchelor, M. Bortz, X. W. Guan, and N. Oelkers, J. Phys.: Conf. Ser. JPCSDZ 1742-6588 10.1088/1742-6596/42/1/002 42, 5 (2006).
36. T. B. Bahder and F. Woynarovich, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.33.2114 33, 2114 (1986)
37. K.-J.-B. Lee and P. Schlottmann, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.40.9104 40, 9104 (1989)
38. C. Yang, A. N. Kocharian, and Y. L. Chiang, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/33/311 12, 7433 (2000).
39. R. M. Dreizler and E. K. U. Gross, Density Functional Theory (Springer, Berlin, 1990)
40. G. F. Giuliani and G. Vignale, Quantum Theory of the Electron Liquid (Cambridge University Press, Cambridge, England, 2005).
41. A. Luther and V. J. Emery, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.33.589 33, 589 (1974)
42. V. J. Emery, in Highly Conducting One-Dimensional Solids, edited by, J. T. Devreese, R. P. Evrard, and, V. E. van Doren, (Plenum, New York, 1979).
43. F. D. M. Haldane, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/19/010 14, 2585 (1981)
44. H. J. Schulz, G. Cuniberti, and P. Pieri, in Field Theories for Low-Dimensional Condensed Matter Systems, edited by, G. Morandi, (Springer, Berlin, 2000)
45. T. Giamarchi, Quantum Physics in One Dimension (Clarendon Press, Oxford, 2004).
46. K. Machida and H. Nakanishi, Phys. Rev. A PLRAAN 1050-2947 30, 122 (1984);
47. X. âJ. Liu, H. Hu, and P. D. Drummond, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.043605 76, 043605 (2007).
48. Y. Shin, M. W. Zwierlein, C. H. Schunck, A. Schirotzek, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.030401 97, 030401 (2006)
49. G. B. Partridge, W. Li, Y. A. Liao, R. G. Hulet, M. Haque, and H. T. C. Stoof, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.190407 97, 190407 (2006).
50. Y. Chen, Z. D. Wang, F. C. Zhang, and C. S. Ting, e-print arXiv:0710.5484v1.