Dimer, trimer, and Fulde-Ferrell-Larkin-Ovchinnikov liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 85, Issue 6, 2012, Pages

  Dalmonte, M ^a,b   Dieckmann, K ^c   Roscilde, T ^d   Hartl, C ^e   Feiguin, A E ^f   Schollwock U ^e,g   Heidrich Meisner, F ^e,g  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b INFN SEZIONE DI BOLOGNA   (Italy)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^d UNIVERSITÉ DE LYON   (France)

^e UNIVERSITY OF MUNICH   (Germany)

^f UNIVERSITY OF WYOMING   (United States)

^g UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLD GAS; CORRELATION FUNCTION; DENSITY PROFILE; EFFECTIVE PARAMETERS; FINITE TEMPERATURES; HARMONIC CONFINEMENT; MANY-BODY; MOMENTUM DISTRIBUTIONS; ONE DIMENSION; QUANTUM MONTE CARLO SIMULATIONS; SYSTEMATIC INVESTIGATIONS;

BINARY MIXTURES; MONTE CARLO METHODS;

DIMERS;

EID: 84862197902     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.85.063608     Document Type: Article

References (87)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science SCIEAS 0036-8075 10.1126/science.269.5221.198 269, 198 (1995).
2. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.3969 75, 3969 (1995).
3. C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.1687 75, 1687 (1995).
4. M. Bartenstein, A. Altmeyer, S. Riedl, S. Jochim, C. Chin, J. H. Denschlag, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120401 92, 120401 (2004).
5. T. Bourdel, L. Khaykovich, J. Cubizolles, J. Zhang, F. Chevy, M. Teichmann, L. Tarruell, S. J. J. M. F. Kokkelmans, and C. Salomon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.050401 93, 050401 (2004).
6. C. A. Regal, M. Greiner, and D. S. Jin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.040403 92, 040403 (2004).
7. M. W. Zwierlein, C. A. Stan, C. H. Schunck, S. M. F. Raupach, A. J. Kerman, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 92.120403 92, 120403 (2004).
8. M. W. Zwierlein, C. H. Schunck, A. Schirotzek, and W. Ket-terle, Nature (London) NATUAS 0028-0836 10.1038/nature04936 442, 54 (2006).
9. M. W. Zwierlein, A. Schirotzek, C. H. Schunck, and W. Ket-terle, Science SCIEAS 0036-8075 10.1126/science.1122318 311, 492 (2006).
10. G. B. Partridge, W. Li, R. I. Kamar, Y. an Liao, and R. G. Hulet, Science SCIEAS 0036-8075 10.1126/science.1122876 311, 503 (2006).
11. 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).
12. Y.-A. Liao, A. S. C. Rittner, T. Paprotta, W. Li, G. B. Partridge, R. G. Hulet, S. K. Baur, and E. J. Mueller, Nature (London) NATUAS 0028-0836 10.1038/nature09393 467, 567 (2010).
13. G. Sarma, Phys. Chem. Solids JPCSAW 0022-3697 10.1016/0022-3697(63)90007- 6 24, 1029 (1963).
14. P. Fulde and A. Ferrell, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.135. A550 135, A550 (1964).
15. A. Larkin and Y. Ovchinnikov, Zh. Eksp. Teor. Fiz 47, 1136 (1964)
16. A. Larkin and Y. Ovchinnikov, [Sov. Phys. JETP 20, 762 (1965)].
17. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).
18. M. Köhl, H. Moritz, T. Stöferle, K. Günter, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.080403 94, 080403 (2005).
19. R. Jördens, N. Strohmaier, K. Günter, H. Moritz, and T. Esslinger, Nature (London) NATUAS 0028-0836 10.1038/nature07244 455, 204 (2008).
20. U. Schneider, L. Hackermüller, S. Will, T. Best, I. Bloch, T. A. Costi, R. W. Helmes, D. Rasch, and A. Rosch, Science SCIEAS 0036-8075 10.1126/science.1165449 322, 1520 (2008).
21. M. Taglieber, A.-C. Voigt, T. Aoki, T. W. Hänsch, and K. Dieckmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.010401 100, 010401 (2008).
22. E. Wille, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100. 053201 100, 053201 (2008).
23. A.-C. Voigt, M. Taglieber, L. Costa, T. Aoki, W. Wieser, T. W. Hänsch, and K. Dieckmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.020405 102, 020405 (2009).
24. A. Trenkwalder, C. Kohstall, M. Zaccanti, D. Naik, A. I. Sidorov, F. Schreck, and R. Grimm, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 106.115304 106, 115304 (2011).
25. M. Greiner, O. Mandel, T. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002).
26. T. Stöferle, H. Moritz, C. Schori, M. Köhl, and T. Esslinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.130403 92, 130403 (2004).
27. E. Haller, R. Hart, M. Mark, J. Danzl, L. Reichsöllner, M. Gustavsson, M. Dalmonte, G. Pupillo, and H.-C. Nägerl, Nature (London) NATUAS 0028-0836 10.1038/nature09259 456, 597 (2010).
28. J. Catani, L. De Sarlo, G. Barontini, F. Minardi, and M. Inguscio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.011603 77, 011603 (2008).
29. D. McKay and B. DeMarco, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/5/055013 12, 055013 (2010).
30. B. Gadway, D. Pertot, J. Reeves, M. Vogt, and D. Schneble, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.145306 107, 145306 (2011).
31. A. B. Kuklov and B. V. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.100401 90, 100401 (2003).
32. E. Altman, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/5/1/113 5, 113 (2003).
33. M. Guglielmino, V. Penna, and B. Capogrosso-Sansone, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.031603 84, 031603 (2011).
34. L. Mathey, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.144510 75, 144510 (2007).
35. A. Hu, L. Mathey, I. Danshita, E. Tiesinga, C. J. Williams, and C. W. Clark, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.023619 80, 023619 (2009).
36. T. Roscilde, C. Degli Esposti Boschi, and M. Dalmonte, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/97/23002 97, 23002 (2012).
37. G. Orso, E. Burovski, and T. Jolicoeur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.065301 104, 065301 (2010).
38. E. Burovski, G. Orso, and T. Jolicoeur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.215301 103, 215301 (2009).
39. A. Feiguin, F. Heidrich-Meisner, G. Orso, and W. Zwerger, Lect. Not. Phys. 0075-8450 10.1007/978-3-642-21978-8-14 836, 503 (2011).
40. S. R. White, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69. 2863 69, 2863 (1992).
41. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005).
42. U. Schollwöck, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/j.aop.2010. 09.012 326, 96 (2011).
43. O. F. Syljuåsen and A. W. Sandvik, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.66.046701 66, 046701 (2002).
44. G. G. Batrouni, M. J. Wolak, F. Hebert, and V. G. Rousseau, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/86/47006 86, 47006 (2009).
45. B. Wang, H.-D. Chen, and S. Das Sarma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.051604 79, 051604 (R) (2009).
46. G. Roux, E. Burovski, and T. Jolicoeur, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.053618 83, 053618 (2011).
47. F. Essler, H. Frahm, F. Göhmann, A. Klümper, and V. E. Kore-pin, The One-dimensional Hubbard Model (Cambridge University Press, Cambridge, 2005).
48. G. Orso, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070402 98, 070402 (2007).
49. H. Hu, X.-J. Liu, and P. D. Drummond, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.070403 98, 070403 (2007).
50. M. Casula, D. M. Ceperley, and E. J. Mueller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.033607 78, 033607 (2008).
51. F. Heidrich-Meisner, G. Orso, and A. E. Feiguin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.053602 81, 053602 (2010).
52. A. E. Feiguin and F. Heidrich-Meisner, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.220508 76, 220508 (R) (2007).
53. W. V. Liu, F. Wilczek, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.033603 70, 033603 (2004).
54. S. Ospelkaus, Ph.D. Thesis, University of Hamburg, 2006 (unpublished).
55. A. Albus, F. Illuminati, and J. Eisert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023606 68, 023606 (2003).
56. J. Catani, G. Barontini, G. Lamporesi, F. Rabatti, G. Thalhammer, F. Minardi, S. Stringari, and M. Inguscio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.140401 103, 140401 (2009).
57. A. Marte, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.283202 89, 283202 (2002).
58. R. Grimm, M. Weidemüller, and Y. B. Ovchinnikov, Adv. At. Mol. Opt. Phys. 1049-250X 10.1016/S1049-250X(08)60186-X 42, 95 (2000).
59. G. G. Batrouni, M. H. Huntley, V. G. Rousseau, and R. T. Scalettar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.116405 100, 116405 (2008).
60. M. Tezuka and M. Ueda, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.110403 100, 110403 (2008).
61. M. Rizzi, M. Polini, M. A. Cazalilla, M. R. Bakhtiari, M. P. Tosi, and R. Fazio, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.245105 77, 245105 (2008).
62. A. I. Buzdin and V. V. Tugushev, Zh. Eksp. Teor. Fiz. 85, 735 (1983)
63. A. I. Buzdin and V. V. Tugushev, [Sov. Phys. JETP 58, 428 (1983)].
64. K. Machida and H. Nakanishi, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.30.122 30, 122 (1984).
65. K. Yang, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.63.140511 63, 140511 (2001).
66. A. Lüscher, R. M. Noack, and A. M. Läuchli, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.013637 78, 013637 (2008).
67. J. Lee and X. Guan, Nucl. Phys. B NUPBBO 0550-3213 10.1016/j.nuclphysb. 2011.07.007 853, 125 (2011).
68. J. N. Fuchs, A. Recati, and W. Zwerger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.090408 93, 090408 (2004).
69. I. V. Tokatly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 090405 93, 090405 (2004).
70. A. Recati, J. N. Fuchs, and W. Zwerger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.033630 71, 033630 (2005).
71. F. Heidrich-Meisner, A. E. Feiguin, U. Schollwöck, and W. Zwerger, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.023629 81, 023629 (2010).
72. S. K. Baur, J. Shumway, and E. J. Mueller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.033628 81, 033628 (2010).
73. 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).
74. E. Zhao and W. V. Liu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78. 063605 78, 063605 (2008).
75. A. E. Feiguin and F. Heidrich-Meisner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.076403 102, 076403 (2009).
76. R. M. Lutchyn, M. Dzero, and V. M. Yakovenko, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.033609 84, 033609 (2011).
77. P. Kakashvili and C. J. Bolech, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.041603 79, 041603 (2009).
78. M. J. Wolak, V. G. Rousseau, C. Miniatura, B. Gremaud, R. T. Scalettar, and G. G. Batrouni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.013614 82, 013614 (2010).
79. G. Orso, E. Burovski, and T. Jolicoeur, CRAS (Paris) Phys. 12, 39 (2011).
80. U. Schneider, L. Hackermüller, J. P. Ronzheimer, S. Will, S. Braun, T. Best, I. Bloch, E. Demler, S. Mandt, D. Rasch, and A. Rosch, Nature Phys. 1745-2473 10.1038/nphys2205 8, 213 (2012).
81. F. Heidrich-Meisner, S. R. Manmana, M. Rigol, A. Muramatsu, A. E. Feiguin, and E. Dagotto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80. 041603 80, 041603 (2009).
82. S. Langer, M. J. A. Schuetz, I. P. McCulloch, U. Schollwöck, and F. Heidrich-Meisner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.043618 85, 043618 (2012).
83. T. Roscilde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.063605 77, 063605 (2008).
84. M. Rizzi and A. Imambekov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.023621 77, 023621 (2008).
85. D. S. Petrov, G. E. Astrakharchik, D. J. Papoular, C. Salomon, and G. V. Shlyapnikov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.130407 99, 130407 (2007).
86. M. Dalmonte, P. Zoller, and G. Pupillo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.163202 107, 163202 (2011).
87. M. Popp, J.-J. Garcia-Ripoll, K. G. Vollbrecht, and J. I. Cirac, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.013622 74, 013622 (2006).