Trapped one-dimensional Bose gas as a Luttinger liquid

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 58, Issue 5, 1998, Pages R3395-R3398

  Monien, H ^a   Linn, M ^a   Elstner, N ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000132023     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.58.R3395     Document Type: Article

References (27)

1. M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman, and E. A. Cornell, Science 269, 198 (1995).
2. 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).
3. M.-O. Mewes, M. R. Andrews, N. J. van Druten, D. M. Kurn, D. S. Durfee, and W. Ketterle, Phys. Rev. Lett. 77, 416 (1996).
4. BEC online bibliography, Georgia Southern University, http://amo.phy.gasou.edu/bec.html/bibliography.html.
5. M. R. Andrews, D. M. Kurn, H.-J. Miesner, D. S. Durfee, C. G. Townsend, S. Inouye, and W. Ketterle, Phys. Rev. Lett. 79, 553 (1997).
6. V. Bagnato and D. Kleppner, Phys. Rev. A 44, 7439 (1991).
7. W. Ketterle and N. J. van Druten, Phys. Rev. A 54, 656 (1996).
8. N. J. Druten and W. Ketterle, Phys. Rev. Lett. 79, 549 (1997).
9. J. Sólyom, Adv. Phys. 28, 201 (1979).
10. F. D. M. Haldane, Phys. Rev. Lett. 47, 1840 (1981).
11. See, e.g., L. Degiorgi and G. Grüner, Synth. Met. 56, 2688 (1993).
12. S. Stringari, Phys. Rev. Lett. 77, 2360 (1996).
13. A. Griffin, W.-C. Wu, and S. Stringari, Phys. Rev. Lett. 78, 1838 (1997).
14. K. Halbach, Nucl. Instrum. Methods 169, 1 (1980);
15. W. G. Kaenders, F. Lisou, I. Müller, A. Richter, R. Wynands, and D. Meschede, Phys. Rev. A 54, 5067 (1996).
16. N. Bogoliubov, J. Phys. (Moscow) 11, 23 (1947).
17. Recently, E. Zaremba (e-print, cond-mat/9708237) demonstrated the presence of a gapless sound mode in a cylindrical trap by considering fluctuations around a static configuration obtained in the Thomas-Fermi approximation. He found a slightly different value for the sound velocity (Formula presented) This difference is not essential for our argument.
18. P. C. Hohenberg, Phys. Rev. 158, 383 (1967).
19. T.-L. Ho and M. Ma, e-print, cond-mat/9703034.
20. F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
21. O. Penrose and L. Onsager, Phys. Rev. 104, 576 (1956).
22. J. R. Gardner, R. A. Cline, J. D. Miller, D. J. Heinzen, H. M. J. M. Boesten, and B. J. Verhaar, Phys. Rev. Lett. 74, 3764 (1995).
23. E. H. Lieb and W. Liniger, Phys. Rev. 130, 1605 (1963).
24. T. Kühner and H. Monien (unpublished).
25. M. Linn, N. Elstner, and H. Monien (unpublished).
26. C. L. Kane and M. P. A. Fisher, Phys. Rev. Lett. 68, 1220 (1992).
27. A. H. Castro Neto and M. P. A. Fisher, Phys. Rev. B 53, 9713 (1996).