### Abstract

We present predictions for temperature-dependent shifts and damping rates. They are obtained by applying the dielectric formalism to set up a self-consistent model of a trapped Bose gas which can be shown to satisfy generalized Ward identities. Within the framework of the model we use lowest-order perturbation theory to determine the first-order correction to the results of Hartree-Fock-Bogoliubov-Popov theory for the complex collective excitation frequencies, and present numerical results for the temperature dependence of the damping rates and the frequency shifts. Good agreement with the experimental values measured by Jin et al. [Phys. Rev. Lett. 77, 420 (1996)] are found for the m = 2 mode, while we find disagreements in the shifts for m = 0. The latter point to the necessity of a nonperturbative treatment for an explanation of the temperature dependence of the m = 0 shifts.

Original language | English |
---|---|

Pages (from-to) | 436061-4360610 |

Number of pages | 3924550 |

Journal | Physical Review A |

Volume | 61 |

Issue number | 4 |

Publication status | Published - Apr 2000 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics

### Cite this

*Physical Review A*,

*61*(4), 436061-4360610.

**Shifts and widths of collective excitations in trapped Bose gases determined by the dielectric formalism.** / Reidl, Jürgen; Csordás, A.; Graham, Robert; Szépfalusy, P.

Research output: Contribution to journal › Article

*Physical Review A*, vol. 61, no. 4, pp. 436061-4360610.

}

TY - JOUR

T1 - Shifts and widths of collective excitations in trapped Bose gases determined by the dielectric formalism

AU - Reidl, Jürgen

AU - Csordás, A.

AU - Graham, Robert

AU - Szépfalusy, P.

PY - 2000/4

Y1 - 2000/4

N2 - We present predictions for temperature-dependent shifts and damping rates. They are obtained by applying the dielectric formalism to set up a self-consistent model of a trapped Bose gas which can be shown to satisfy generalized Ward identities. Within the framework of the model we use lowest-order perturbation theory to determine the first-order correction to the results of Hartree-Fock-Bogoliubov-Popov theory for the complex collective excitation frequencies, and present numerical results for the temperature dependence of the damping rates and the frequency shifts. Good agreement with the experimental values measured by Jin et al. [Phys. Rev. Lett. 77, 420 (1996)] are found for the m = 2 mode, while we find disagreements in the shifts for m = 0. The latter point to the necessity of a nonperturbative treatment for an explanation of the temperature dependence of the m = 0 shifts.

AB - We present predictions for temperature-dependent shifts and damping rates. They are obtained by applying the dielectric formalism to set up a self-consistent model of a trapped Bose gas which can be shown to satisfy generalized Ward identities. Within the framework of the model we use lowest-order perturbation theory to determine the first-order correction to the results of Hartree-Fock-Bogoliubov-Popov theory for the complex collective excitation frequencies, and present numerical results for the temperature dependence of the damping rates and the frequency shifts. Good agreement with the experimental values measured by Jin et al. [Phys. Rev. Lett. 77, 420 (1996)] are found for the m = 2 mode, while we find disagreements in the shifts for m = 0. The latter point to the necessity of a nonperturbative treatment for an explanation of the temperature dependence of the m = 0 shifts.

UR - http://www.scopus.com/inward/record.url?scp=0346477276&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0346477276&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0346477276

VL - 61

SP - 436061

EP - 4360610

JO - Physical Review A

JF - Physical Review A

SN - 2469-9926

IS - 4

ER -