Abstract
We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive a closed equation for the velocity fluctuations in a trapped Bose gas above the Bose-Einstein transition temperature. Explicit solutions for a parabolic trap are given. We find that the surface modes above the transition have the same dispersion relation as the one recently obtained by Stringari for the oscillations of the condensate at T=0 within the Thomas-Fermi approximation. Results are also given for the monopole “breathing” mode as well as for the m=0 excitations which result from the coupling of the monopole and quadrupole modes in an anisotropic parabolic well.
| Original language | English |
|---|---|
| Pages (from-to) | 1838-1841 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 78 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 1997 Jan 1 |
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Hydrodynamic modes in a trapped bose gas above the bose-einstein transition. / Griffin, A.; Wu, Wen-Chin; Stringari, S.
In: Physical Review Letters, Vol. 78, No. 10, 01.01.1997, p. 1838-1841.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Hydrodynamic modes in a trapped bose gas above the bose-einstein transition
AU - Griffin, A.
AU - Wu, Wen-Chin
AU - Stringari, S.
PY - 1997/1/1
Y1 - 1997/1/1
N2 - We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive a closed equation for the velocity fluctuations in a trapped Bose gas above the Bose-Einstein transition temperature. Explicit solutions for a parabolic trap are given. We find that the surface modes above the transition have the same dispersion relation as the one recently obtained by Stringari for the oscillations of the condensate at T=0 within the Thomas-Fermi approximation. Results are also given for the monopole “breathing” mode as well as for the m=0 excitations which result from the coupling of the monopole and quadrupole modes in an anisotropic parabolic well.
AB - We discuss the collective modes of a trapped Bose gas in the hydrodynamic regime where atomic collisions ensure local thermal equilibrium for the distribution function. Starting from the conservation laws, in the linearized limit we derive a closed equation for the velocity fluctuations in a trapped Bose gas above the Bose-Einstein transition temperature. Explicit solutions for a parabolic trap are given. We find that the surface modes above the transition have the same dispersion relation as the one recently obtained by Stringari for the oscillations of the condensate at T=0 within the Thomas-Fermi approximation. Results are also given for the monopole “breathing” mode as well as for the m=0 excitations which result from the coupling of the monopole and quadrupole modes in an anisotropic parabolic well.
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U2 - 10.1103/PhysRevLett.78.1838
DO - 10.1103/PhysRevLett.78.1838
M3 - Article
AN - SCOPUS:6244257779
VL - 78
SP - 1838
EP - 1841
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 10
ER -