Title
Collective excitation frequencies of bosons in a parabolic potential with interparticle harmonic interactions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Amsterdam ,
Subject
Physics
Source (journal)
Physics letters: A. - Amsterdam, 1967, currens
Volume/pages
267(2000) :5-6 , p. 416-419
ISSN
0375-9601
ISI
000086704100019
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The fact that the ground-state first-order density matrix for bosons in a parabolic potential with interparticle harmonic interactions is known in exact form is here exploited to study collective excitations in the weak-coupling regime. Oscillations about the ground-state density are treated analytically by a linearized equation of motion which includes a kinetic energy contribution. We show that the dipole mode has the frequency of the bare trap, in accord with the Kohn theorem, and derive explicit expressions for the frequencies of the higher-multipole modes in terms of a frequency renormalized by the interactions. (C) 2000 Elsevier Science B.V. All rights reserved.
E-info
https://repository.uantwerpen.be/docman/iruaauth/31661c/9336098.pdf
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