Fluctuations and stochastic processes in one-dimensional many-body quantum systems

Physical Review Letters

Volumn 105, Issue 1, 2010, Pages

  Stimming, H P ^a   Mauser, N J ^a   Schmiedmayer, J ^b   Mazets, I E ^a,b,c  

^a UNIVERSITY OF VIENNA   (Austria)

^b TU WIEN   (Austria)

^c IOFFE INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

FLUCTUATION PROPERTIES; INTERACTING BOSONS; LUTTINGER LIQUID THEORY; MANY-BODY QUANTUM SYSTEMS; ONE-DIMENSIONAL SYSTEMS; ORNSTEIN-UHLENBECK; PHASE CORRELATION FUNCTIONS; STATISTICAL DISTRIBUTION; STOCHASTIC PROCESS; THERMAL EXCITATION;

QUANTUM ELECTRONICS; RANDOM PROCESSES; STOCHASTIC SYSTEMS;

QUANTUM OPTICS;

EID: 77954274230     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.105.015301     Document Type: Article

References (25)

1. E. Altman, E. Demler, and M.D. Lukin, Phys. Rev. A 70, 013603 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.70.013603
2. S. Fölling, Nature (London) 434, 481 (2005). NATUAS 0028-0836 10.1038/nature03500
3. U. Schneider, Science 322, 1520 (2008). SCIEAS 0036-8075 10.1126/science.1165449
4. A. Perrin, Phys. Rev. Lett. 99, 150405 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.150405
5. T. Jeltes, Nature (London) 445, 402 (2007). NATUAS 0028-0836 10.1038/nature05513
6. A. Öttl, S. Ritter, M. Köhl, and T. Esslinger, Phys. Rev. Lett. 95, 090404 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.090404
7. S. Hofferberth, Nature (London) 449, 324 (2007). NATUAS 0028-0836 10.1038/nature06149
8. R. Gati, B. Hemmerling, J. Fölling, M. Albiez, and M.K. Oberthaler, Phys. Rev. Lett. 96, 130404 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96. 130404
9. S. Hofferberth, Nature Phys. 4, 489 (2008). NPAHAX 1745-2473 10.1038/nphys941
10. F.D.M. Haldane, Phys. Rev. Lett. 47, 1840 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.47.1840
11. D.S. Petrov, G.V. Shlyapnikov, and J.T.M. Walraven, Phys. Rev. Lett. 85, 3745 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.3745
12. L. Cacciapuoti, Phys. Rev. A 68, 053612 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.053612
13. S. Hofferberth, I. Lesanovsky, B. Fischer, J. Verdu, and J. Schmiedmayer, Nature Phys. 2, 710 (2006). NPAHAX 1745-2473 10.1038/nphys420
14. A. Polkovnikov, E. Altman, and E. Demler, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 103, 6125 (2006). 10.1073/pnas.0510276103
15. V. Gritsev, E. Altman, E. Demler, and A. Polkovnikov, Nature Phys. 2, 705 (2006). NPAHAX 1745-2473 10.1038/nphys410
16. N.K. Whitlock and I. Bouchoule, Phys. Rev. A 68, 053609 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.68.053609
17. L. Salasnich, A. Parola, and L. Reatto, Phys. Rev. A 65, 043614 (2002). PLRAAN 1050-2947 10.1103/PhysRevA.65.043614
18. C. Mora and Y. Castin, Phys. Rev. A 67, 053615 (2003). PLRAAN 1050-2947 10.1103/PhysRevA.67.053615
19. M.J. Steel, Phys. Rev. A 58, 4824 (1998). PLRAAN 1050-2947 10.1103/PhysRevA.58.4824
20. A. Sinatra, C. Lobo, and Y. Castin, J. Phys. B JPAPEH 0953-4075 35, 3599 (2002). 10.1088/0953-4075/35/17/301
21. C.W. Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and The Natural Sciences (Springer-Verlag, Berlin, 1985).
22. D.T. Gillespie, Phys. Rev. E PLEEE8 1063-651X 54, 2084 (1996). 10.1103/PhysRevE.54.2084
23. The method of a random phase stochastically evolving along the trap is distinct from the time-dependent stochastic equation approach to spatially correlated noise by S. Heller and W.T. Strunz, J. Phys. B JPAPEH 0953-4075 42, 081001 (2009). 10.1088/0953-4075/42/8/081001
24. This method was recently also used to reproduce the experimental results on the contrast statistics [S. Heller and W.T. Strunz (private communication)].
25. T. Kitagawa, Phys. Rev. Lett. PRLTAO 0031-9007 104, 255302 (2010). 10.1103/PhysRevLett.104.255302