Thermodynamics of a trapped interacting Bose gas and the renormalization group
arXiv:cond-mat/0307391 · doi:10.1103/PhysRevA.69.043614
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 Wilsonian energy-shell renormalization and the epsilon-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 results to study the transition temperature as a function of the scattering length. Our results compare well to previous studies of the problem.
arXiv comment14 pages, 5 figures
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- Nonperturbative Effects on T_c of Interacting Bose Gases in Power-Law Traps
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- Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance
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