Bogoliubov sound speed in periodically modulated Bose-Einstein condensates

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 5, 2003, Pages 536111-5361116

  Taylor, E ^a   Zaremba, E ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVES; CONDENSATION; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; HYDRODYNAMICS; MATRIX ALGEBRA; OSCILLATIONS; PERTURBATION TECHNIQUES; PHONONS; TENSORS; VECTORS;

BOSE-EINSTEIN CONDENSATES (BEC); OPTICAL LATTICES;

GAS DYNAMICS;

EID: 0942300226     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.68.053611     Document Type: Article

References (30)

1. F.S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, and M. Inguscio, Science 293, 843 (2001).
2. B.P. Andersen and M.A. Kasevich, Science 282, 1686 (1998).
3. O. Morsch, J.H. Müller, M. Cristiani, D. Ciampini, and E. Arimondo, Phys. Rev, Lett. 87, 140402 (2001).
4. S. Burger, F.S. Cataliotti, C. Fort, F. Minardi, M. Inguscio, M.L. Chiofalo, and M.P. Tosi, Phys. Rev. Lett. 86, 4447 (2001).
5. K. Berg-Sørensen and K. Mølmer, Phys. Rev. A 58, 1480 (1998).
6. B. Wu and Q. Niu, Phys. Rev. A 64, 061603(R) (2001).
7. M. Machholm, C.J. Pethick, and H. Smith, Phys. Rev. A 67, 053613 (2003).
8. J.C. Bronski, L.D. Carr, B. Deconinck, J.N. Kutz, and K. Promislow, Phys. Rev. E 63, 036612 (2001).
9. V.V. Konotop and M. Salerno, Phys. Rev. A 65, 021602 (2002).
10. J. Javanainen, Phys. Rev. A 60, 4902 (1999).
11. M.L. Chiofalo, M. Polini, and M.P. Tosi, Eur. Phys. J. D 11, 371 (2000).
12. A. Smerzi, A. Trombettoni, P.G. Kevrekidis, and A.R. Bishop, Phys. Rev. Lett. 89, 170402 (2002).
13. M. Krämer, L. Pitaevskii, and S. Stringari, Phys. Rev. Lett. 88, 180404 (2002).
14. J. Callaway, Quantum Theory of the Solid State (Academic Press, New York, 1991).
15. H. Pu, L.O. Baksmaty, W. Zhang, N.P. Bigelow, and P. Meystre, Phys. Rev. A 67, 043605 (2003).
16. C.M. Bender and S.A. Orszag, Advanced Mathematical Methods for Scientists and Engineers (McGraw-Hill, New York, 1978).
17. C. Menotti, M. Krämer, L. Pitaevskii, and S. Stringari, Phys. Rev. A 67, 053609 (2003).
18. M. Krämer, C. Menotti, L. Pitaevskii, and S. Stringari, e-print oond-mat/0305300.
19. M. Machholm, A. Nicolin, C.J. Pethick, and H. Smith, e-print cond-mat/0307183.
20. B. Wu, R.B. Diener, and Q. Niu, Phys. Rev. A 65, 025601 (2002).
21. D. Diakonov, L.M. Jensen, C.J. Pethick, and H. Smith, Phys. Rev. A 66, 013604 (2002).
22. D.A.W. Hutchinson, E. Zaremba, and A. Griffin, Phys. Rev. Lett. 78, 1842 (1997).
23. E. Zaremba, Phys. Rev, A 57, 518 (1998).
24. A.D. Jackson, G.M. Kavoulakis, and C.J. Pethick, Phys. Rev. A 58, 2417 (1998).
25. A. Trombettoni and A. Smerzi, Phys. Rev. Lett. 86, 2353 (2001).
26. More precisely, we fix the direction of the phonon wave vector and order the expansion according to powers of the wave-vector magnitude q.
27. 3 r ∫ dt e(〈n〉,〈k〉) + ℏ〈n〉∂〈θ〉/∂t with 〈k〉 = ∇〈θ〉.
28. N.W. Ashcroft and N.D. Mermin, Solid State Physics (Harcourt, Fort Worth, 1976), pg. 765.
29. B. Wu and Q. Niu, New J. Phys. 5, 104 (2003).
30. The other possibility of phonons with wave vectors q (q>0) and - G - q gives a critical wave vector larger than Eq. (125).