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Phase transition of interacting Bose gases in weak periodic potentials

Zobay, O. ; Rosenkranz, M. (2006)
Phase transition of interacting Bose gases in weak periodic potentials.
In: Physical Review A, 74 (5)
doi: 10.1103/PhysRevA.74.053623
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

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 kc 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.

Typ des Eintrags: Artikel
Erschienen: 2006
Autor(en): Zobay, O. ; Rosenkranz, M.
Art des Eintrags: Bibliographie
Titel: Phase transition of interacting Bose gases in weak periodic potentials
Sprache: Englisch
Publikationsjahr: 27 November 2006
Verlag: APS Physics
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Physical Review A
Jahrgang/Volume einer Zeitschrift: 74
(Heft-)Nummer: 5
DOI: 10.1103/PhysRevA.74.053623
Kurzbeschreibung (Abstract):

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 kc 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.

Zusätzliche Informationen:

Art.No.: 053623

Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Angewandte Physik
Hinterlegungsdatum: 20 Nov 2008 08:20
Letzte Änderung: 04 Apr 2023 09:53
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