Nonequilibrium pairing instability in ultracold Fermi gases with population imbalance

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Tomadin, Andrea ^a   Polini, Marco ^a   Tosi, M P ^a   Fazio, Rosario ^a,b  

^a CNR   (Italy)

^b SISSA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FERMI LEVEL; LIGHT POLARIZATION; NONLINEAR EQUATIONS; OSCILLATORS (ELECTRONIC);

FERMI GASES; NONEQUILIBRIUM DYNAMICS;

SPIN DYNAMICS;

EID: 40849134261     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.033605     Document Type: Article

References (52)

1. M. Lewenstein, A. Sanpera, V. Ahufinger, B. Damski, A. Sen De, and U. Sen, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730701223200 56, 243 (2007).
2. I. Bloch, J. Dalibard, and W. Zwerger, e-print arXiv:0704.3011v2, Rev. Mod. Phys. (to be published).
3. M. Greiner, O. Mandel, T. W. Hnsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
4. E. Altman and A. Auerbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.250404 89, 250404 (2002).
5. R. A. Barankov, L. S. Levitov, and B. Z. Spivak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.160401 93, 160401 (2004)
6. for earlier work, see E. Abrahams and T. Tsuneto, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.152.416 152, 416 (1966)
7. A. Schmid, Phys. Kondens. Mater. PKOMA3 0031-9236 10.1007/BF02422669 5, 302 (1966).
8. A. V. Andreev, V. Gurarie, and L. Radzihovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.130402 93, 130402 (2004).
9. E. A. Yuzbashyan, B. L. Altshuler, V. B. Kuznetsov, and V. Z. Enolskii, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.220503 72, 220503 (R) (2005).
10. M. H. Szymanska, B. D. Simons, and K. Burnett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.170402 94, 170402 (2005).
11. G. L. Warner and A. J. Leggett, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.134514 71, 134514 (2005).
12. M. A. Cazalilla, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 97.156403 97, 156403 (2006).
13. E. A. Yuzbashyan, O. Tsyplyatyev, and B. L. Altshuler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.097005 96, 097005 (2006).
14. R. A. Barankov and L. S. Levitov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033614 73, 033614 (2006).
15. M. Rigol, V. Dunjko, V. Yurovsky, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.050405 98, 050405 (2007).
16. C. Kollath, A. M. Luchli, and E. Altman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180601 98, 180601 (2007).
17. S. R. Manmana, S. Wessel, R. M. Noack, and A. Muramatsu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.210405 98, 210405 (2007).
18. M. Dzero, E. A. Yuzbashyan, B. L. Altshuler, and P. Coleman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.160402 99, 160402 (2007).
19. M. Cramer, C. M. Dawson, J. Eisert, and T. J. Osborne, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030602 100, 030602 (2008).
20. P. Calabrese and J. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801 96, 136801 (2006).
21. E. A. Yuzbashyan and M. Dzero, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.230404 96, 230404 (2006)
22. E. A. Yuzbashyan, O. Tsyplyatyev, and B. L. Altshuler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.179905 96, 179905 (E) (2006).
23. E. A. Yuzbashyan, B. L. Altshuler, V. B. Kuznetsov, and V. E. Enolski, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/36/003 38, 7831 (2005).
24. Y. M. Galperin, V. I. Kozub, and B. Z. Spivak, Sov. Phys. JETP SPHJAR 0038-5646 54, 1126 (1981)
25. Y. M. Galperin, V. I. Kozub, and B. Z. Spivak, J. Low Temp. Phys. JLTPAC 0022-2291 50, 183 (1983).
26. A. M. Clogston, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.9. 266 9, 266 (1962)
27. B. S. Chandrasekhar, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1777362 1, 7 (1962).
28. G. Sarma, J. Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(63) 90007-6 24, 1029 (1963).
29. P. Fulde and R. A. Ferrell, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.135.A550 135, A550 (1964)
30. A. J. Larkin and Y. N. Ovchinnikov, Zh. Eksp. Teor. Fiz. ZETFA7 0044-4510 47, 1136 (1964)
31. A. J. Larkin and Y. N. Ovchinnikov, [Sov. Phys. JETP SPHJAR 0038-5646 20, 762 (1965)].
32. R. Casalbuoni and G. Nardulli, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76.263 76, 263 (2004).
33. H. Mther and A. Sedrakian, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.252503 88, 252503 (2002).
34. W. V. Liu and F. Wilczek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.047002 90, 047002 (2003).
35. P. F. Bedaque, H. Caldas, and G. Rupak, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.247002 91, 247002 (2003).
36. M. W. Zwierlein, A. Schirotzek, C. H. Schunck, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.1122318 311, 492 (2006).
37. G. B. Partridge, W. Li, R. I. Karmar, Y. Liao, and R. G. Hulet, Science SCIEAS 0036-8075 10.1126/science.1122876 311, 503 (2006).
38. M. W. Zwierlein, C. H. Schunck, A. Schirotzek, and W. Ketterle, Nature (London) NATUAS 0028-0836 10.1038/nature04936 442, 54 (2006).
39. 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).
40. T. Mizushima, K. Machida, and M. Ichioka, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060404 94, 060404 (2005).
41. D. E. Sheehy and L. Radzihovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.060401 96, 060401 (2006).
42. P. Pieri and G. C. Strinati, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.150404 96, 150404 (2006).
43. C.-C. Chien, Q. Chen, Y. He, and K. Levin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.090402 97, 090402 (2006).
44. J. Kinnunen, L. M. Jensen, and P. TÃrm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.110403 96, 110403 (2006).
45. M. M. Parish, F. M. Marchetti, A. Lamacraft, and B. D. Simons, Nat. Phys. ZZZZZZ 1745-2473 3, 124 (2007).
46. A. Bulgac, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.41.2333 41, 2333 (1990).
47. In the standard BCS formulation ωD is the Debye frequency associated with the presence of phonon-mediated electron-electron interactions. In the present problem ωD is solely an ultraviolet cutoff on which the physical results such as the dynamical “phase diagram†in Fig. 3 depend only very weakly.
48. Note that the polynomial equation 16 admits N solutions (for finite ωD). In the thermodynamic limit Nâ†'âž all the solutions with a negligible imaginary part are effectively integrated out [R. A. Barankov and L. S. Levitov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.230403 96, 230403 (2006)], and this is ultimately the reason why Eqs. 17 have a single solution.
49. D. J. Thouless, Ann. Phys. ANPYA2 0003-3804 10.1016/0003-4916(60)90122-6 10, 553 (1960).
50. E. A. Yuzbashyan, V. B. Kuznetsov, and B. L. Altshuler, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.144524 72, 144524 (2005).
51. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.112.1900 112, 1900 (1958).
52. The numerical results reported in the right panels of Fig. 1 are indistinguishable from the analytical result in Eq. 23 on the scale of the figure.