Abstract
Density fluctuations in Bose gases are investigated in the collisionless limit at finite temperature. First the density fluctuations of a homogenous Bose gas above the phase transition are analysed in linear response theory. Their complex velocity of sound is determined, finding a pure relaxation-mode for weak interactions. Then we consider the coupled dynamics of a condensate interacting with the density of non-condensed atoms, and determine numerically and in perturbation theory the temperature dependent damping rate of the Bogoliubov sound. Using a local-density-approximation we generalize this approach to inhomogeneous systems.
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References
A.S. Parkins, D.F. Walls: Physics Reports 303, 1 (1998)
F. Dalfovo, S. Giorgini, L. Pitaevskii, S. Stringari: Rev. Mod. Phys. 71, 463 (1999)
W. Ketterle, D.S. Durfee, D.M. Kurn: Lecture given at the Varenna summer school, 1998
J. Reidl, A. Csordás, R. Graham, P. Szépfalusy, Phys. Rev. A61, 043606 (2000)
M. Fliesser, J. Reidl, P. Szépfalusy, R. Graham: cond-mat/0006475 (2000)
S. Giorgini: Phys. Rev. A 57, 2949 (1998)
S. Giorgini: Phys. Rev. A 61, 063615 (2000)
N. Bogoliubov: J. Phys. USSR 1, 23 (1947)
A.L. Fetter, J.D. Walecka: Quantum Theory of Many-Particle Systems (Mc-Graw Hill, New York 1971)
A.L. Fetter: Ann. Phys. (N.Y.) 70, 67 (1972)
N. Hugenholtz, D. Pines: Phys. Rev. 116, 489 (1959)
A. Griffin: Phys. Rev. B. 53, 9341 (1996)
V. N. Popov: Functional Integrals and Collective Modes (Cambridge University Press, New York 1987), Chap. 6
A.L. Fetter: Phys. Rev. A 53, 4245 (1996)
S. Stringari: Phys. Rev. Lett. 77, 2360 (1996)
W.-C. Wu, A. Griffin: Phys. Rev. A. 54, 4204 (1996)
H.T.C. Stoof: In: Dynamics: Models and Kinetic Methods for Non-Equilibrium Many-Body Systems, ed. John Karkheck (Kluwer, Dordrecht, in press) e-print: cond-mat/9812424
L.P. Kadano., G. Baym: Quantum Statistical Mechanics (W. A. Benjamin, California 1962)
A. Minguzzi, M.J. Tosi: J. Phys.: Condens. Matter 9, 10211 (1998)
P. Szépfalusy, I. Kondor: Ann. Phys. (N.Y.) 82, 1 (1974)
M. Fliesser, A. Csordás, P. Szépfalusy, R. Graham: Phys. Rev. A 56, R2533 (1997)
R.J. Dodd, M. Edwards, C.W. Clark, K. Burnett: Phys. Rev. A 57, R32 (1998)
D.A.W. Hutchinson, E. Zaremba, A. Griffin: Phys. Rev. Lett. 78, 1842 (1997)
J. Reidl, A. Csordás, R. Graham, P. Szépfalusy: Phys. Rev. A 59, 3816 (1999)
G. Bene, P. Szépfalusy: Phys. Rev. A 58, R3391 (1998)
P. Szépfalusy: Acta Phys. Hung. Tom XVII, Fasc.1-2, 229 (1964)
S. Giorgini, L.P. Pitaevskii, S. Stringari: J. Low Temp. Phys. 109, 309 (1997)
D.S. Jin, M.R. Matthews, J.R. Ensher, C.E. Wieman, E.A. Cornell: Phys. Rev. Lett. 78, 764 (1997)
M.-O. Mewes, M.R. Andrews, N.J. van Druten, D.M. Kurn, D.S. Durfee, W. Ketterle: Phys. Rev. Lett. 77, 416 (1996)
M.V. Liu: Phys. Rev. Lett. 79, 4056 (1997)
P.O. Fedichev, G.V. Shlyapnikov, J.T.M. Walraven: Phys. Rev. Lett. 80, 2269 (1998)
L.P. Pitaevskii, S. Stringari: Phys. Rev. Lett. 74, 3352 (1998)
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Fliesser, M., Graham, R. (2001). Density Oscillations in Trapped Bose Condensates at Finite Temperature. In: Carmichael, H.J., Glauber, R.J., Scully, M.O. (eds) Directions in Quantum Optics. Lecture Notes in Physics, vol 561. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40894-0_1
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DOI: https://doi.org/10.1007/3-540-40894-0_1
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