Exactly formulated Bose-Einstein condensates in optical lattices

Physica A: Statistical Mechanics and its Applications

Volumn 335, Issue 3-4, 2004, Pages 445-454

  Hai, Wenhua ^a,b   Lee, Chaohong ^b   Fang, Ximing ^a   Gao, Kelin ^b  

^a HUNAN NORMAL UNIVERSITY   (China)

^b Wuhan National Laboratory for Optoelectronics   (China)

Author keywords

Bose Einstein condensate; Exact solution; Gross Pitaevskii equation; Optical lattice; Spatial distribution; Superfluid velocity

Indexed keywords

CURRENT DENSITY; NONLINEAR EQUATIONS; OSCILLATORS (MECHANICAL); PHASE TRANSITIONS; QUANTUM OPTICS; SCATTERING; SOLITONS;

BOSE-EINSTEIN CONDENSATES; EXACT SOLUTIONS; GROSS-PITAEVSKII EQUATIONS; OPTICAL LATTICES; SPATIAL DISTRIBUTIONS; SUPERFLUID VELOCITY;

QUANTUM THEORY;

EID: 1642372277     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.12.010     Document Type: Article

References (38)

1. Anderson B.P., Kasevich M.A. Science. 282:1998;1686.
2. Wang X.G., Pan S.H., Yang G.Z. Physica A. 274:1999;484.
3. Greiner M., Bloch I., Mandel O., Hänsch T.W., Esslinger T. Phys. Rev. Lett. 87:2001;160405.
4. Greiner M., Mandel O., Esslinger T., Hänsch T.W., Bloch I. Nature. 415:2002;39.
5. Shopova D.V., Uzunov D.I. Phys. Rep. 379:2003;1.
6. Jaksch D., Briegel H.-J., Cirac J.I., Gardiner C.W., Zoller P. Phys. Rev. Lett. 82:1999;1975.
7. Strecker K.E., Partridge G.B., Truscott A.G., Hulet R.G. Nature. 417:2002;150.
8. Al Khawaja U., Stoof H.T.C., Hulet R.G., Strecker K.E., Partridge G.B. Phys. Rev. Lett. 89:2002;200404.
9. Chong G., Hai W., Xie Q. Chin. Phys. Lett. 20(12):2003;2098.
10. Khaykovich L., et al. Science. 296:2002;1290.
11. Dalfovo F., Giorgini S., Pitaevskii L.P., Stringari S. Rev. Mod. Phys. 71:1999;463.
12. Leggett A.J. Rev. Mod. Phys. 73:2001;307.
13. Orzel C., Tuchman A.K., Fenselau M.L., Yasuda M., Kasevich M.A. Science. 291:2001;2386.
14. Cataliotti F.S., Burger S., Fort C., Maddaloni P., Minardi F., Trombettoni A., Smerzi A., Inguscio M. Science. 293:2001;843.
15. Burger S., et al. Phys. Rev. Lett. 86:2001;4447.
16. Wu B., Niu Q. Phys. Rev. A. 64:2001;061603(R).
17. Bronski J.C., Carr L.D., Deconinck B., Kutz J.N. Phys. Rev. Lett. 86:2001;1402.
18. Steeb W.H. Hilbert Spaces, Wavelets, Generalized Functions and Modern Quantum Mechanics. 1998;Kluwer Academic Publisher, Dordrecht.
19. Hai W., Feng M., Zhu X., Shi L., Gao K., Fang X. Phys. Rev. A. 61:2000;052105 Hai W., Feng M., Zhu X., Shi L., Gao K., Fang X. J. Phys. A. 34:2001;L79.
20. Hai W., Feng M., Zhu X., Shi L., Gao K., Fang X. Phys. Rev. A. 61:2000;052105 Hai W., Feng M., Zhu X., Shi L., Gao K., Fang X. J. Phys. A. 34:2001;L79.
21. Arellano-Balderas S., Kucherenko V.V. J. Math. Phys. 44:2003;1490.
22. Wu Y., Yang X., Xiao Y. Phys. Rev. Lett. 86:2001;2200.
23. Theodorakis S., Leontidis E. J. Phys. A. 30:1997;4835.
24. Barra F., Gaspard P., Rica S. Phys. Rev. E. 61:2000;5852.
25. Deconinck B., Frigyik B.A., Kutz J.N. Phys. Lett. A. 283:2001;177.
26. Baym G., Pethick C.J. Phys. Rev. Lett. 76:1996;6.
27. Lee C., Hai W., Shi L., Zhu X., Gao K. Phys. Rev. A. 64:2001;053604.
28. Hai W., Lee C., Chong G., Shi L. Phys. Rev. E. 66:2002;026202.
29. Xie Q., Hai W., Chong G. Chaos. 13:2003;801.
30. Gordon J., Ashkin A. Phys. Rev. A. 21:1980;1606.
31. Gardiner S.A., Jaksch D., Dum R., Cirac J.I., Zoller P. Phys. Rev. A. 62:2000;023612.
32. Stenger J., et al. Nature. 396:1998;345.
33. Wu Y., Yang X. Phys. Rev. A. 62:2000;013603.
34. Adhikari S.K., Gammal A. Physica A. 286:2000;299.
35. Bronski J.C., Carr L.D., Deconinck B., Kutz J.N., Promislow K. Phys. Rev. E. 63:2001;036612 Bronski J.C., Carr L.D., Carretero-Gonzalez R., Deconinck B., Kutz J.N., Promislow K. Phys. Rev. E. 64:2001;056615.
36. Bronski J.C., Carr L.D., Deconinck B., Kutz J.N., Promislow K. Phys. Rev. E. 63:2001;036612 Bronski J.C., Carr L.D., Carretero-Gonzalez R., Deconinck B., Kutz J.N., Promislow K. Phys. Rev. E. 64:2001;056615.
37. Lin C.Y., de Passos E.J.V., Hussein M.S., et al. Physica A. 318:2003;423.
38. Strekalov D.V., Turlapov Andrey, Kumarakrishnan A., Sleator Tycho Phys. Rev. A. 66:2002;023601.