Imaging of critical correlations in optical lattices and atomic traps

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 5, 2006, Pages

  Niu, Qian ^a   Carusotto, Iacopo ^b   Kuklov, A B ^c  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

^b UNIVERSITY OF TRENTO   (Italy)

^c CITY UNIVERSITY OF NEW YORK   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CRYSTAL LATTICES; IMAGE ANALYSIS; INFORMATION RETRIEVAL; MICROSTRUCTURE; OPTICAL CORRELATION; ROBUSTNESS (CONTROL SYSTEMS);

ATOMIC CLOUDS; ATOMIC TRAPS; BOSE-EINSTEIN CONDENSATES; OPTICAL LATTICES;

OPTICAL ENGINEERING;

EID: 33646524048     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.053604     Document Type: Article

References (43)

1. M. Greiner, O. Mandel, T. W. Hansch, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/415039a 415, 39 (2002).
2. E. Demler and F. Zhou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.163001 88, 163001 (2002).
3. A. B. Kuklov and B. V. Svistunov Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.100401 90, 100401 (2003).
4. A. Kuklov, N. Prokof'ev, and B. Svistunov Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.030403 92, 030403 (2004);
5. A. Kuklov, N. Prokof'ev, and B. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.050402 92, 050402 (2004).
6. L.-M. Duan, E. Demler, and M. D. Lukin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.090402 91, 090402 (2003).
7. N. Prokof'ev and B. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.015703 92, 015703 (2004);
8. K. G. Balabanyan, N. Prokof'ev, and B. Svistunov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.055701 95, 055701 (2005).
9. B. Damski, J. Zakrzewski, L. Santos, P. Zoller, and M. Lewenstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.080403 91, 080403 (2003).
10. M. R. Andrews, C. G. Townsend, H.-J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science SCIEAS 0036-8075 10.1126/science.275.5300.637 275, 637 (1997).
11. J. Stenger, S. Inouye, A. P. Chikkatur, D. M. Stamper-Kurn, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.4569 82, 4569 (1999).
12. I. Bloch, T. W. Haensch, and T. Esslinger, Nature (London) NATUAS 0028-0836 10.1038/35003132 403, 166 (2000).
13. K. Damle, T. Senthil, S. N. Majumdar, and S. Sachdev, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00179-4 36, 7 (1996).
14. S. Wessel, F. Alet, M. Troyer, and G. G. Batrouni, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053615 70, 053615 (2004).
15. O. Gygi, H. G. Katzgraber, M. Troyer, S. Wessel, and G. G. Batrouni, e-print cond-mat/0603319.
16. D. J. Amit and V. Martin-Mayor, Field Theory, the Renormalization Group, and Critical Phenomena (World Scientific, Singapore, 2005).
17. F. Gerbier, A. Widera, S. Folling, O. Mandel, T. Gericke, and I. Bloch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.050404 95, 050404 (2005).
18. V. A. Kashurnikov, N. V. Prokof'ev, and B. V. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.031601 66, 031601 (R) (2002).
19. V. N. Popov, Functional Integrals in Quantum Field Theory and Statistical Physics (Reidel, Dordrecht, 1983).
20. Yu. Kagan, B. V. Svistunov, and G. V. Shlyapnikov, Sov. Phys. JETP SPHJAR 0038-5646 66, 314 (1987).
21. N. Prokof'ev, O. Ruebenacker, and B. Svistunov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.053625 69, 053625 (2004).
22. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999).
23. The criticality of the quantum MI-SF transition in d=3 can well be described by the mean field approach in D=4.
24. J. A. Lipa, J. A. Nissen, D. A. Stricker, D. R. Swanson, and T. C. P. Chui, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.174518 68, 174518 (2003).
25. M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.214503 63, 214503 (2001);
26. E. Burovski, J. Machta, N. V. Prokof'ev, and B. V. Svistunov, e-print cond-mat/0507352.
27. E. Altman and A. Auerbach, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.250404 89, 250404 (2002).
28. D. F. Walls and G. J. Milburn, Quantum Optics (Springer, Berlin, 1994).
29. Eric L. Bolda and Dan F. Walls, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.5477 81, 5477 (1998);
30. J. Tempere and J. T. Devreese, Solid State Commun. SSCOA4 0038-1098 10.1016/S0038-1098(98)90448-3 108, 993 (1998);
31. S. Inouye, S. Gupta, T. Rosenband, A. P. Chikkatur, A. Gorlitz, T. L. Gustavson, A. E. Leanhardt, D. E. Pritchard, and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.080402 87, 080402 (2001);
32. F. Chevy, K. W. Madison, V. Bretin, and J. Dalibard, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.031601 64, 031601 (R) (2001).
33. R. Hanbury Brown and R. Q. Twiss, Nature (London) NATUAS 0028-0836 178, 1046 (1956).
34. S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke, and I. Bloch, Nature (London) NATUAS 0028-0836 10.1038/nature03500 434, 481 (2005).
35. E. Altman, E. Demler, and M. D. Lukin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.013603 70, 013603 (2004).
36. M. Schellekens, R. Hoppeler, A. Perrin, J. Viana Gomes, D. Boiron, A. Aspect, and C. I. Westbrook, e-print cond-mat/0508466;
37. J. Esteve, J. B. Trebbia, T. Schumm, A. Aspect, C. Westbrook, and I. Bouchoule, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.130403 96, 130403 (2006).
38. I. Carusotto and Y. Castin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.223202 94, 223202 (2005).
39. A. Polkovnikov, E. Altman, and E. Demler, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 103, 6125 (2006).
40. For a discussion of the use of coherent versus Fock states for a description of the BEC phase, see, e.g., Y. Castin and J. Dalibard, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.4330 55, 4330 (1997).
41. M. Saba, T. A. Pasquini, C. Sanner, Y. Shin, W. Ketterle, and D. E. Pritchard, Science SCIEAS 0036-8075 10.1126/science.1108801 307, 1945 (2005);
42. Y. Shin, G.-B. Jo, M. Saba, T. A. Pasquini, W. Ketterle, and D. E. Pritchard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.170402 95, 170402 (2005).
43. T. Bourdel, T. Donner, S. Ritter, A. Attl, M. Köhl, and T. Esslinger, e-print cond-mat/0511234.