Self-trapping dynamics in a two-dimensional optical lattice

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 88, Issue 2, 2013, Pages

  Li, Shuming ^a   Manmana, Salvatore R ^a,b   Rey, Ana Maria ^a   Hipolito, Rafael ^c   Reinhard, Aaron ^d,e   Riou, Jean Félix ^d   Zundel, Laura A ^d   Weiss, David S ^d  

^a UNIVERSITY OF COLORADO   (United States)

^b UNIVERSITY OF GÖTTINGEN   (Germany)

^c GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^d PENNSYLVANIA STATE UNIVERSITY   (United States)

^e OTTERBEIN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COUPLED NONLINEAR EQUATIONS; MACROSCOPIC QUANTUM SELF-TRAPPING; NUMBER FLUCTUATIONS; QUANTUM CORRELATIONS; TIME-DEPENDENT DENSITY MATRIX; TWO-DIMENSIONAL LATTICES; TWO-DIMENSIONAL OPTICAL LATTICES; WIGNER APPROXIMATION;

EXCITONS; STATISTICAL MECHANICS; TWO DIMENSIONAL;

EXPANSION;

EID: 84884833299     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.88.023419     Document Type: Article

References (30)

1. L. D. Landau, Z. Phys. (NY) 13, 905 (1933).
2. A. L. Shluger and A. M. Stoneham, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/5/19/007 5, 3049 (1993).
3. E. K. H. Salje, A. S. Alexandrov, and W. Y. Liang, Polarons and Bipolarons in High Temperature Superconductors and Related Materials (Cambridge University Press, Cambridge, 1995).
4. A. J. Millis, P. B. Littlewood, and B. I. Shraiman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.5144 74, 5144 (1995).
5. G. Wellein and H. Fehske, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.58.6208 58, 6208 (1998).
6. G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.4318 55, 4318 (1997).
7. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. R. Shenoy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.4950 79, 4950 (1997).
8. S. Raghavan, A. Smerzi, S. Fantoni, and S. R. Shenoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.620 59, 620 (1999).
9. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2353 86, 2353 (2001). (Pubitemid 32277998)
10. O. Morsch, M. Cristiani, J. H. Muller, D. Ciampini, and E. Arimondo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.021601 66, 021601 (R) (2002).
11. A. Smerzi and A. Trombettoni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.023613 68, 023613 (2003).
12. 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)
13. Th. Anker, M. Albiez, R. Gati, S. Hunsmann, B. Eiermann, A. Trombettoni, and M. K. Oberthaler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 020403 94, 020403 (2005). (Pubitemid 40620121)
14. T. J. Alexander, E. A. Ostrovskaya, and Y. S. Kivshar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.040401 96, 040401 (2006). (Pubitemid 43270835)
15. J.-K. Xue, A.-X. Zhang, and J. Liu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013602 77, 013602 (2008). (Pubitemid 351374377)
16. S. Wüster, B. J. Dabrowska-Wüster, and M. J. Davis, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.080401 109, 080401 (2012).
17. A. Reinhard, J.-F. Riou, L. A. Zundel, D. S. Weiss, S. Li, A. M. Rey, and R. Hipolito, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.110.033001 110, 033001 (2013).
18. M. Girardeau, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1703687 1, 516 (1960).
19. T. Kinoshita, T. Wenger, and D. S. Weiss, Science SCIEAS 0036-8075 10.1126/science.1100700 305, 1125 (2004). (Pubitemid 39100318)
20. B. Paredes, A. Widera, V. Murg, O. Mandel, S. Fölling, I. Cirac, G. V. Shlyapnikov, T. W. Hänsch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature02530 429, 277 (2004). (Pubitemid 38684809)
21. A. Polkovnikov, Annals of Physics APNYA6 0003-4916 10.1016/j.aop.2010.02. 006 325, 1790 (2010).
22. U. Schollwöck, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys. 77.259 77, 259 (2005). (Pubitemid 41490660)
23. A. J. Daley, C. Kollath, U. Schollwöck, and G. Vidal, J. Stat. Mech.: Theor. Exp. 10.1088/1742-5468/2004/04/P04005 (2004) P04005.
24. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).
25. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5413 86, 5413 (2001). (Pubitemid 32548929)
26. P. B. Blakie, A. S. Bradley, M. J. Davis, R. J. Ballagh, and C. W. Gardiner, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730802564254 57, 363 (2008).
27. A. Sinatra, C. Lobo, and Y. Castin, J. Phys. B JPAPEH 0953-4075 10.1088/0953-4075/35/17/301 35, 3599 (2002).
28. R. Hipolito and A. Polkovnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.013621 81, 013621 (2010).
29. T. Kinoshita, T. Wenger, and D. S. Weiss, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.190406 95, 190406 (2005). (Pubitemid 41777183)
30. I. Bloch, J. Dalibard, and W. Zwerger, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.885 80, 885 (2008).