Band structure, elementary excitations, and stability of a bose-einstein condensate in a periodic potential

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 5, 2003, Pages 536131-5361315

  Machholm, M ^a,b   Pethick, C J ^a   Smith, H ^b  

^a NORDITA   (Denmark)

^b UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

BAND STRUCTURE; COMPUTATIONAL METHODS; CRYSTAL LATTICES; GASES; SOLITONS; WAVE EQUATIONS;

BOSE-EINSTEIN CONDENSATE; OPTICAL LATTICE;

ATOMIC PHYSICS;

EID: 0037768785     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (28)

1. M. Ben Dahan, E. Peik, J. Reichel, Y. Castin, and C. Salomon, Phys. Rev. Lett. 76, 4508 (1996).
2. B.P. Anderson and M.A. Kasevich, Science (Washington, DC, U.S.) 282, 1686 (1998).
3. S. Burger, F.S. Cataliotti, C. Fort, F. Minardi, M. Inguscio, M.L. Chiofalo, and M.P. Tosi, Phys. Rev. Lett. 86, 4447 (2001).
4. F.S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science (Washington, DC, U.S.) 293, 843 (2001).
5. O. Morsch, J.H. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, Phys. Rev. Lett. 87, 140402 (2001).
6. M. Greiner, O. Mandel, T. Esslinger, T.W. Hänsch, and I. Bloch, Nature (London) 415, 39 (2002).
7. K. Berg-Sørensen and K. Mølmer, Phys. Rev. A 58, 1480 (1998).
8. D.-I. Choi and Q. Niu, Phys. Rev. Lett. 82, 2022 (1999).
9. B. Wu and Q. Niu, Phys. Rev. A 61, 023402 (2000).
10. B. Wu and Q. Niu, Phys. Rev. A 64, 061603 (2001).
11. B. Wu, R.B. Diener, and Q. Niu, Phys. Rev. A 65, 025601 (2002).
12. J.C. Bronski, L.D. Carr, B. Deconinck, and J.N. Kutz, Phys. Rev. Lett. 86, 1402 (2001).
13. J.C. Bronski, L.D. Carr, B. Deconinck, J.N. Kutz, and K. Promislow, Phys. Rev. E 63, 036612 (2001).
14. D. Diakonov, L.M. Jensen, C.J. Pethick, and H. Smith, Phys. Rev. A 66, 013604 (2002).
15. T. Tsuzuki, J. Low Temp. Phys. 4, 441 (1971).
16. M. Krämer, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180404 (2002).
17. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001).
18. G.J. Milburn, J. Corney, E.M. Wright, and D.F. Walls, Phys. Rev. A 55, 4318 (1997).
19. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. Shenoy, Phys. Rev. Lett. 79, 4950 (1997).
20. P. Coullet and N. Vandenberghe, J. Phys. B 35, 1593 (2002).
21. K.W. Mahmud, J.N. Kutz, and W.P. Reinhardt, Phys. Rev. A 66, 063607 (2002).
22. E.M. Lifshitz and L.P. Pitaevskii, Statistical Physics (Pergamon, Oxford, 1980), Vol. II, Sec. 23.
23. A.D. Jackson, G.M. Kavoulakis, and C.J. Pethick, Phys. Rev. A 58, 2417 (1998).
24. P. Massignan and M. Modugno, Phys. Rev. A 67, 023614 (2003).
25. This choice agrees with that made in Refs. [10] and [11], but is different from the one made in Ref. [14].
26. 0.
27. 2/2m. Our definition of the chemical potential is therefore different from the one conventionally used for Galilean-invariant systems, where the chemical potential is usually defined in terms of the energy of the system in the frame in which it is locally at rest.
28. E. Mueller, Phys. Rev. A 66, 063603 (2002).