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• W2015904227 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 ${k}_{c}$ 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." @default.
• W2015904227 created "2016-06-24" @default.
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• W2015904227 creator A5072132870 @default.
• W2015904227 date "2006-11-27" @default.
• W2015904227 modified "2023-10-02" @default.
• W2015904227 title "Phase transition of interacting Bose gases in weak periodic potentials" @default.
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• W2015904227 doi "https://doi.org/10.1103/physreva.74.053623" @default.
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