Quantum phase diagram for homogeneous Bose-Einstein condensate

2003/08/27 by H. Kleinert, Hagen Kleinert, S. Schmidt +3 · 1 citation
Chemistry · Mathematics · Physics and Astronomy · #Advanced Physical and Chemical Molecular Interactions #Cold Atom Physics and Bose-Einstein Condensates #Homogeneous #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Phase diagram #Quantum #Quantum critical point #Quantum phase transition #Quantum phases #Reentrancy #Spectral Theory in Mathematical Physics #cond-mat

paper · pdf · doi:10.1002/andp.200410104

published as Annalen der Physik (Leipzig) 14, 214-230 (2005) · Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest update of paper (including all PS fonts) at http://www.physik.fu-berlin.de/~kleinert/349

arxiv created 2003/08/27 · openalex publication_date 2004/10/11 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We calculate the quantum phase transition for a homogeneous Bose gas in the plane of s-wave scattering length as and temperature T. This is done by improving a one-loop result near the interaction-free Bose-Einstein critical temperature Tc(0) with the help of recent high-loop results on the shift of the critical temperature due to a weak atomic repulsion based on variational perturbation theory. The quantum phase diagram shows a nose above Tc(0), so that we predict the existence of a reentrant transition above Tc(0), where an increasing repulsion leads to the formation of a condensate.

Citations

• BEC Transition Temperature of a Dilute Homogeneous Imperfect Bose Gas
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• Transition temperature of a two-component Bose-Einstein condensates in improved Hartree-Fock approximation