Phase transition of trapped interacting Bose gases and the renormalization group

G Metikas, O Zobay, G Alber

Research output: Contribution to journalArticle (Academic Journal)

13 Citations (Scopus)

Abstract

We apply perturbative renormalization-group theory to the symmetric phase of a dilute interacting Bose gas which is trapped in a three-dimensional harmonic potential. Using Wilson's energy-shell renormalization and the expansion, we derive the flow equations for the system. We relate these equations to the flow for the homogeneous Bose gas. In the thermodynamic limit, we apply our approach to examine the transition temperature of the harmonically trapped Bose gas as a function of the scattering length. The results are compared to previous studies of the problem.
Translated title of the contributionPhase transition of trapped interacting Bose gases and the renormalization group
Original languageEnglish
Pages (from-to)1 - 11
Number of pages11
JournalPhysical Review A: Atomic, Molecular and Optical Physics
Volume69 (4, 043614)
DOIs
Publication statusPublished - Apr 2004

Bibliographical note

Publisher: American Physical Society

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