Spectral properties of coupled Bose-Einstein condensates

Physical Review A. Atomic, Molecular, and Optical Physics

Volumn 63, Issue 4, 2001, Pages 436091-436098

  Franzosi, Roberto ^a   Penna, Vittorio ^a  

^a POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON ENERGY LEVELS; ELECTRON TRAPS; HAMILTONIANS; RECURSIVE FUNCTIONS; SEMICONDUCTOR QUANTUM WELLS;

COUPLED BOSE-EINSTEIN CONDENSATES;

HIGH ENERGY PHYSICS;

EID: 19244377771     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
2. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995); C. C. Bradley, C. A. Sackett, J. J. Tollett, and R. G. Hulet, Phys. Rev. Lett. 75, 1687 (1995).
3. F. Dalfovo, S. Giorgini, Lev P. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
4. K. B. Davis, M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. S. Durfee, D. M. Kurn, and W. Ketterle, Phys. Rev. Lett. 75, 3969 (1995).
5. P. Öhberg and S. Stenholm, Phys. Rev. A 57, 1272 (1998); T. Esslinger, I. Bloch, and T. W. Hänsch, Phys. Rev. B 58, 2664 (1998).
6. P. Öhberg and S. Stenholm, Phys. Rev. A 57, 1272 (1998); T. Esslinger, I. Bloch, and T. W. Hänsch, Phys. Rev. B 58, 2664 (1998).
7. M. R. Andrews, C. G. Townsend, H. J. Miesner, D. S. Durfee, D. M. Kurn, and W. Ketterle, Science 275, 637 (1997).
8. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. Shenoy, Phys. Rev. Lett. 79, 4950 (1997); S. Raghavan, A. Smerzi, S. Fantoni, and S. Shenoy, Phys. Rev. A 59, 620 (1999); S. Raghavan, A. Smerzi, and V. M. Kenkre, ibid. 60, R1787 (1999).
9. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. Shenoy, Phys. Rev. Lett. 79, 4950 (1997); S. Raghavan, A. Smerzi, S. Fantoni, and S. Shenoy, Phys. Rev. A 59, 620 (1999); S. Raghavan, A. Smerzi, and V. M. Kenkre, ibid. 60, R1787 (1999).
10. A. Smerzi, S. Fantoni, S. Giovanazzi, and S. Shenoy, Phys. Rev. Lett. 79, 4950 (1997); S. Raghavan, A. Smerzi, S. Fantoni, and S. Shenoy, Phys. Rev. A 59, 620 (1999); S. Raghavan, A. Smerzi, and V. M. Kenkre, ibid. 60, R1787 (1999).
11. 2 as the j-condensate density of bosons occupying the single-particle state with zero momentum (see Ref. [2]).
12. S. Aubry, S. Flach, K. Kladko, and E. Olbrich, Phys. Rev. Lett. 76, 1607 (1996).
13. ± whose (noninvariant) orbits are in one-to-one correspondence via the PS action.
14. G. J. Milburn, J. Corney, E. M. Wright, and D. F. Walls, Phys. Rev. A 55, 4318 (1997).
15. M. J. Steel and M. J. Collett, Phys. Rev. A 57, 2920 (1998).
16. j(r)'s that make explicit the underlying double-well potential structure.
17. W.-M. Zhang, D. H. Feng, and R. Gilmore, Rev. Mod. Phys. 62, 867 (1990).
18. R. Franzosi, V. Penna, and R. Zecchina, Int. J. Mod. Phys. B 14, 943 (2000).
19. A. M. Perelomov, Generalized Coherent States and their Applications (Springer-Verlag, Berlin, 1986).
20. q|0, . . . ,0)} are used in a purely formal way to describe the enlargement of the algebra and of the Hilbert space thereof.
21. The proper frequencies associated with Eq. (7) and the related periodic orbits coincide with the eigenvalues and the eigenstates of Eq. (6), respectively.
22. L. Amico and V. Penna, Phys. Rev. B 62, 1224 (2000).
23. R. Franzosi and V. Penna (unpublished).