Superfluidity in dilute trapped Bose gases

Physical Review B - Condensed Matter and Materials Physics

Volumn 66, Issue 13, 2002, Pages 1-6

  Lieb, Elliott H ^a   Seiringer, Robert ^a   Yngvason, Jakob ^b  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF VIENNA   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84886919992     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.66.134529     Document Type: Article

References (22)

1. D.R. Tilley and J. Tilley, Superfluidity and Superconductivity, 3rd ed. (Hilger, Bristol, 1990).
2. P.C. Hohenberg and P.C. Martin, Ann. Phys. (N.Y.) 34, 291 (1965).
3. The ground state with (formula presented) remains an eigenstate of the Hamiltonian with arbitrary (formula presented) since its total momentum is zero. Its energy is (formula presented) above the ground state energy for (formula presented) Since in a finite box the spectrum of the Hamiltonian for arbitrary (formula presented) is discrete and the energy gap above the ground state is bounded away from zero for (formula presented) small, the ground state for (formula presented) is at the same time the ground state of the Hamiltonian with (formula presented) if (formula presented) is smaller than the gap.
4. N.V. Prokof’ev and B.V. Svistunov, Phys. Rev. B 61, 11 282 (2000).
5. K. Huang, in Bose-Einstein Condensation, edited by A. Griffin, D.W. Stroke, and S. Stringari (Cambridge University Press, Cambridge, 1995), pp. 31-50.
6. G.E. Astrakharchik, J. Boronat, J. Casulleras, and S. Giorgini, (unpublished).
7. M. Kobayashi and M. Tsubota, (unpublished).
8. M. Girardeau, J. Math. Phys. 1, 516 (1960).
9. A. Lenard, J. Math. Phys. 5, 930 (1964).
10. L. Pitaevskii and S. Stringari, J. Low Temp. Phys. 85, 377 (1991).
11. G. Baym, in Math. Methods in Solid State and Superfluid Theory, Scottish University Summer School of Physics (Oliver and Boyd, Edinburgh, 1969).
12. A.J. Leggett, Rev. Mod. Phys. 71, S318 (1999).
13. F. Dalfovo, S. Giorgini, L. Pitaevskii, and S. Stringari, Rev. Mod. Phys. 71, 463 (1999).
14. E.H. Lieb and R. Seiringer, Phys. Rev. Lett. 88, 170409 (2002).
15. E.H. Lieb and J. Yngvason, Phys. Rev. Lett. 80, 2504 (1998).
16. E.H. Lieb, R. Seiringer, and J. Yngvason, Phys. Rev. A 61, 043602 (2000).
17. E.H. Lieb and M. Loss, Analysis, 2nd ed. (American Mathematical Society, Providence, 2001).
18. A.L. Fetter and A.A. Svidzinsky, J. Phys.: Condens. Matter 13, R135 (2001).
19. F.J. Dyson, Phys. Rev. 106, 317 (1957).
20. E.H. Lieb, R. Seiringer, J.P. Solovej, and J. Yngvason, Contemporary Developments in Mathematics 2001 (International Press Boston, in press) [ (unpublished)].
21. E.H. Lieb, R. Seiringer, and J. Yngvason, (unpublished).
22. C.J. Pethick and H. Smith, Bose-Einstein Condensation in Dilute Gases (Cambridge University Press, Cambridge, 2002).