Phase transition of interacting Bose gases in weak periodic potentials

O Zobay, M Rosenkranz

Research output: Contribution to journalArticle (Academic Journal)peer-review

8 Citations (Scopus)


We study the condensation of a homogeneous interacting Bose gas in the presence of a superimposed weak periodic potential. In contrast to, e.g., a harmonic trap, the periodic potential does not reduce the significance of long-wavelength fluctuations and thus influences the phase transition in a more profound way. We present general thermodynamic descriptions of the system above condensation in terms of mean-field as well as renormalization-group theory. Our approaches are based on describing the interplay between the effects of the interactions and the potential by means of a renormalization of the potential amplitude. These theories are then used to study the critical chemical potential and particle density and their dependence on the properties of the applied potential. A main result of our investigations concerns the characteristic nonperturbative momentum scale k_c of the critical interacting Bose gas. It is shown that the existence of this momentum scale becomes macroscopically manifest in the behavior of the critical thermodynamic properties.
Translated title of the contributionPhase transition of interacting Bose gases in weak periodic potentials
Original languageEnglish
Article numberArticle n. 052643
Pages (from-to)052643
Number of pages12
JournalPhysical Review A: Atomic, Molecular and Optical Physics
Publication statusPublished - Nov 2006

Bibliographical note

Publisher: American Physical Society


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