Nonequilibrium phase diagram of a driven and dissipative many-body system

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 1, 2011, Pages

  Tomadin, Andrea ^a   Diehl, Sebastian ^a,b   Zoller, Peter ^a,b  

^a ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^b UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL DESCRIPTION; BOSONIC SYSTEMS; COHERENT INTERACTION; DENSITY MATRIX; DISSIPATIVE PROCESS; LONG RANGE ORDERS; MANY-BODY; MANY-BODY SYSTEMS; MASTER EQUATIONS; MEAN FIELD APPROXIMATION; NON-EQUILIBRIUM DYNAMICS; NONEQUILIBRIUM PHASE DIAGRAMS; PARTICLE DENSITIES; STEADY STATE; TIME EVOLUTIONS; TOPOLOGICAL VARIABLES; TRANSLATIONAL SYMMETRY;

PHASE TRANSITIONS; TOPOLOGY;

PHASE DIAGRAMS;

EID: 78751506047     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.013611     Document Type: Article

References (74)

1. A. Kamenev and A. Levchenko, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730902850504 58, 197 (2009).
2. D. E. Feldman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95. 177201 95, 177201 (2005); (Pubitemid 41777391)
3. A. Mitra, S. Takei, Y. B. Kim, and A. J. Millis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.236808 97, 236808 (2006). (Pubitemid 44888113)
4. S. A. Moskalenko and D. W. Snoke, Bose-Einstein Condensation of Excitons and Biexcitons (Cambridge Univ. Press, Cambridge, 2000);
5. J. Keeling, F. M. Marchetti, M. H. Szymanska, and P. B. Littlewood, Semicond. Sci. Technol. SSTEET 0268-1242 10.1088/0268-1242/22/5/R01 22, R1 (2007); (Pubitemid 46656133)
6. J. Kasprzak, Nature NATUAS 0028-0836 10.1038/nature05131 443, 409 (2006); (Pubitemid 44477272)
7. M. Wouters and I. Carusotto, e-print arXiv: 1001.0660.
8. E. G. Dalla Torre, E. Demler, T. Giamarchi, and E. Altman, Nat. Phys. NATUAS 1745-2473 10.1038/nphys1754 6, 806 (2010).
9. P. Calabrese and J. Cardy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.136801 96, 136801 (2006);
10. C. Kollath, A. M. Läuchli, and E. Altman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.180601 98, 180601 (2007); (Pubitemid 46693406)
11. A. Silva, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101. 120603 101, 120603 (2008);
12. M. Moeckel and S. Kehrein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.175702 100, 175702 (2008). (Pubitemid 351624649)
13. M. Greiner, O. Mandel, T. W. Hänsch, and I. Bloch, Nature NATUAS 0028-0836 10.1038/nature00968 419, 51 (2002); (Pubitemid 34987866)
14. B. Paredes, Nature NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004); (Pubitemid 38684809)
15. L. E. Sadler, J. M. Higbie, S. R. Leslie, M. Vengalattore, and D. M. Stamper-Kurn, Nature NATUAS 0028-0836 10.1038/nature05094 443, 312 (2006). (Pubitemid 44435146)
16. T. Gasenzer, J. Berges, M. G. Schmidt, and M. Seco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.063604 72, 063604 (2005); (Pubitemid 41776042)
17. 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); (Pubitemid 351161771)
18. M. Rigol, V. Dunjko, and M. Olshanii, Nature NATUAS 0028-0836 10.1038/nature06838 452, 854 (2008); (Pubitemid 351550863)
19. G. Roux, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.021608 79, 021608 (R) (2009);
20. L. Campos Venuti and P. Zanardi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032113 81, 032113 (2010);
21. M. Znidaric, T. Prosen, G. Benenti, G. Casati, and D. Rossini, Phys. Rev. E PLRAAN 1539-3755 10.1103/PhysRevE.81.051135 81, 051135 (2010).
22. T. Kinoshita, T. Wenger, and D. S. Weiss, Nature NATUAS 0028-0836 10.1038/nature04693 440, 900 (2006);
23. S. Hofferberth, I. Lesanovsky, T. Schumm, A. Imambekov, V. Gritsev, E. Demler, and J. Schmiedmayer, Nat. Phys. NATUAS 1745-2473 10.1038/nphys941 4, 489 (2008).
24. J. Berges, Sz. Borsanyi, and C. Wetterich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.142002 93, 142002 (2004);
25. R. Barnett, A. Polkovnikov, and M. Vengalattore, e-print arXiv: 1009.1646.
26. S. Montangero, R. Fazio, P. Zoller, and G. Pupillo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.041602 79, 041602 (R) (2009);
27. J. Schachenmayer, G. Pupillo, and A. J. Daley, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/2/025014 12, 025014 (2010).
28. K. Sengupta, S. Powell, and S. Sachdev, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053616 69, 053616 (2004);
29. W. H. Zurek, U. Dorner, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.105701 95, 105701 (2005); (Pubitemid 41505777)
30. T. Prosen and I. Pizorn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.105701 101, 105701 (2008);
31. C. De Grandi, V. Gritsev, and A. Polkovnikov, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.81.012303 81, 012303 (2010);
32. R. A. Barankov, e-print arXiv: 0910.0255.
33. C. N. Weiler, T. W. Neely, D. R. Scherer, A. S. Bradley, M. J. Davis, and B. P. Anderson, Nature NATUAS 0028-0836 10.1038/nature07334 455, 948 (2008).
34. A. Altland and V. Gurarie, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.063602 100, 063602 (2008). (Pubitemid 351391488)
35. N. Syassen, D. M. Bauer, M. Lettner, T. Volz, D. Dietze, J. J. Garcia-Ripoll, J. I. Cirac, G. Rempe, and S. Dürr, Science SCIEAS 0036-8075 10.1126/science.1155309 320, 1329 (2008); (Pubitemid 351929467)
36. A. J. Daley, J. M. Taylor, S. Diehl, M. Baranov, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.040402 102, 040402 (2009);
37. S. K. Baur and E. J. Mueller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.023626 82, 023626 (2010);
38. R. Schützhold and G. Gnanapragasam, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.022120 82, 022120 (2010).
39. D. Jaksch and P. Zoller, Ann. Phys. 315, 2005 (2005).
40. S. Diehl, A. Micheli, A. Kantian, B. Kraus, H. P. Büchler, and P. Zoller, Nat. Phys. PLRAAN 1745-2473 10.1038/nphys1073 4, 878 (2008).
41. F. Verstraete, M. M. Wolf, and J. I. Cirac, Nat. Phys. PLRAAN 1745-2473 10.1038/nphys1342 5, 633 (2009).
42. H. Weimer, M. Müller, I. Lesanovsky, P. Zoller, and H. P. Büchler, Nat. Phys. PLRAAN 1745-2473 10.1038/nphys1614 6, 382 (2010).
43. M. Roncaglia, M. Rizzi, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.096803 104, 096803 (2010).
44. S. Diehl, W. Yi, A. J. Daley, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.227001 105, 227001 (2010).
45. S. Sachdev, Quantum Phase Transitions (Cambridge Univ. Press, Cambridge, 1999).
46. M. Greiner, O. Mandel, T. Esslinger, T. W. Hänsch, and I. Bloch, Nature NATUAS 0028-0836 10.1038/415039a 415, 39 (2002). (Pubitemid 34062442)
47. A. Schmid, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.51.1506 51, 1506 (1983);
48. S. Chakravarty, G.-L. Ingold, S. Kivelson, and A. Luther, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56.2303 56, 2303 (1986);
49. A. Kampf and G. Schön, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.36.3651 36, 3651 (1987);
50. S. Chakravarty, S. Kivelson, G. T. Zimanyi, and B. I. Halperin, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.35.7256 35, 7256 (1987);
51. R. Fazio and H. van der Zant, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(01)00022-9 355, 235 (2001).
52. S. Diehl, A. Tomadin, A. Micheli, R. Fazio, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.015702 105, 015702 (2010).
53. B. Kraus, H. P. Büchler, S. Diehl, A. Kantian, A. Micheli, and P. Zoller, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.042307 78, 042307 (2008).
54. A. Aspect, E. Arimondo, R. Kaiser, N. Vansteenkiste, and C. Cohen-Tannoudji, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.826 61, 826 (1988);
55. M. Kasevich and S. Chu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.1741 69, 1741 (1992).
56. W. Metzner and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.324 62, 324 (1989).
57. E. Altman, A. Polkovnikov, E. Demler, B. I. Halperin, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.020402 95, 020402 (2005). (Pubitemid 41506312)
58. C. W. Gardiner and P. Zoller, Quantum Noise (Springer, Berlin, 2004).
59. M. Babadi, D. Pekker, R. Sensarma, A. Georges, and E. Demler, e-print arXiv: 0908.3483v1 [cond-mat.quant-gas].
60. V. W. Scarola and S. Das Sarma, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.033003 95, 033003 (2005); (Pubitemid 41506272)
61. V. W. Scarola, E. Demler, and S. Das Sarma, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.051601 73, 051601 (R) (2006);
62. C. Trefzger, C. Menotti, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.035304 103, 035304 (2009);
63. S. Diehl, M. A. Baranov, A. J. Daley, and P. Zoller, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.165301 104, 165301 (2010).
64. H. Haken, Synergetics (Springer, Berlin, 1990).
65. F. S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science SCIEAS 0036-8075 10.1126/science.1062612 293, 843 (2001); (Pubitemid 32743970)
66. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.010402 95, 010402 (2005); (Pubitemid 41506409)
67. O. Morsch and M. Oberthaler, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.179 78, 179 (2006);
68. C. Sias, A. Zenesini, H. Lignier, S. Wimberger, D. Ciampini, O. Morsch, and E. Arimondo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.120403 98, 120403 (2007); (Pubitemid 46481401)
69. S. Levy, E. Lahoud, I. Shomroni, and J. Steinhauer, Nature NATUAS 0028-0836 10.1038/nature06186 449, 579 (2007). (Pubitemid 47527121)
70. K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, New. J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/4/043030 11, 043030 (2009).
71. R. A. Barankov and L. S. Levitov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033614 73, 033614 (2006).
72. S. Coleman, Phys. Rev. D PRVDAQ 1550-7998 10.1103/PhysRevD.15.2929 15, 2929 (1977).
73. I. Danshita and A. Polkovnikov, Phys. Rev. B PRVDAQ 1098-0121 10.1103/PhysRevB.82.094304 82, 094304 (2010).
74. A. Altland and B. D. Simons, Condensed Matter Field Theory (Cambridge Univ. Press, Cambridge, 2010).