Phase fluctuations in anisotropic Bose-Einstein condensates: From cigars to rings

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 3, 2010, Pages

  Mathey, L ^a   Ramanathan, A ^a   Wright, K C ^a   Muniz, S R ^a   Phillips, W D ^a   Clark, Charles W ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOSE-EINSTEIN CONDENSATES; GEOMETRIC LENGTH; PHASE FLUCTUATION; QUANTUM FLUCTUATION; RING GEOMETRY; THERMAL PHASE; TRAP GEOMETRIES; ULTRACOLD ATOMS; ZERO TEMPERATURES;

ATOMS; BIOELECTRIC PHENOMENA; QUANTUM ELECTRONICS; STATISTICAL MECHANICS; STEAM CONDENSERS; TEMPERATURE;

COMPUTATIONAL GEOMETRY;

EID: 77957147153     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.033607     Document Type: Article

References (30)

1. D. S. Petrov, G. V. Shlyapnikov, and J. T. M. Walraven, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.050404 87, 050404 (2001).
2. P. Öhberg, E. L. Surkov, I. Tittonen, S. Stenholm, M. Wilkens, and G. V. Shlyapnikov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.R3346 56, R3346 (1997).
3. U. Al Khawaja, N. P. Proukakis, J. O. Andersen, M. W. J. Romans, and H. T. C. Stoof, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.043603 68, 043603 (2003).
4. F. Gerbier, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10035-7 66, 771 (2004).
5. N. J. van Druten and W. Ketterle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.549 79, 549 (1997).
6. S. Dettmer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 160406 87, 160406 (2001).
7. D. Hellweg, L. Cacciapuoti, M. Kottke, T. Schulte, K. Sengstock, W. Ertmer, and J. J. Arlt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 91.010406 91, 010406 (2003).
8. F. Gerbier, J. H. Thywissen, S. Richard, M. Hugbart, P. Bouyer, and A. Aspect, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.051602 67, 051602 (R) (2003).
9. S. Richard, F. Gerbier, J. H. Thywissen, M. Hugbart, P. Bouyer, and A. Aspect, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.010405 91, 010405 (2003).
10. M. Hugbart, J. A. Retter, F. Gerbier, A. F. Varon, S. Richard, J. H. Thywissen, D. Clement, P. Bouyer, and A. Aspect, Eur. Phys. J. D EPJDF6 1434-6060 10.1140/epjd/e2005-00056-2 35, 155 (2005).
11. P. Cladé, C. Ryu, A. Ramanathan, K. Helmerson, and W. D. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.170401 102, 170401 (2009).
12. The experimental setup will be discussed in detail elsewhere.
13. C. Ryu, M. F. Andersen, P. Cladé, V. Natarajan, K. Helmerson, and W. D. Phillips, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.260401 99, 260401 (2007).
14. K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/4/043030 11, 043030 (2009).
15. O. Morizot, Y. Colombe, V. Lorent, H. Perrin, and B. M. Garraway, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.023617 74, 023617 (2006).
16. S. Muniz and C. Raman (unpublished).
17. E. P. Gross, Nuovo Cimento 20, 3 (1961);
18. L. P. Pitaevskii, Sov. Phys. JETP 13, 2 (1961).
19. F. Dalfovo, S. Giorgini, L. Pitaevskii, and S. Stringari, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71.463 71, 463 (1999).
20. P. G. de Gennes, Superconductivity of Metals and Alloys (Benjamin, New York, 1966).
21. C. Mora and Y. Castin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67. 053615 67, 053615 (2003).
22. T. M. Rice, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140.A1889 140, A1889 (1965).
23. M. A. Cazalilla, J. Phys. B: At. Mol. Opt. Phys. JPAPEH 0953-4075 10.1088/0953-4075/37/7/051 37, S1 (2004).
24. H.-J. Mikeska and H. Schmidt, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00652508 2, 371 (1970).
25. C. J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge Press, Cambridge, 2002).
26. The parameter η is similar to the parameter ζ defined for Eq. (5), but includes only the transverse dimensions in the rescaling, whereas ζ includes all three dimensions, in analogy to Ref. [2].
27. S. Stringari, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.58.2385 58, 2385 (1998).
28. V. Bagnato, D. E. Pritchard, and D. Kleppner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.35.4354 35, 4354 (1987).
29. T. Giamarchi, Quantum Physics in One Dimension (Oxford University Press, Oxford, 2004).
30. The Bogoliubov spectrum crosses from a linear spectrum over to a quadratic spectrum at the inverse healing length. This motivates the choice of the healing length as a short-range cutoff. This short-range cutoff also appears in the long-range behavior of the correlation function, as the smallest "unit" of the spatial variables, which is characteristic for low-dimenionsal systems.