Bose-Einstein condensation in self-consistent mean-field theory

Abstract

There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary second-order transition, a first-order transition, even for weakly interacting Bose gas. In the present paper, it is shown that a self-consistent mean-field approach is the sole mean-field theory that provides the correct second-order condensation transition for Bose systems with atomic interactions of arbitrary strength, whether weak or strong.

Latex file, 18 pages, 5 figures

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Cited by in corpus (11)

• Dipolar and spinor bosonic systems
• Thermodynamics in expanding shell-shaped Bose-Einstein condensates
• Theory of cold atoms: Bose-Einstein statistics
• The Equation of State of Dark Matter Superfluids
• Ground state of a homogeneous Bose gas of hard spheres
• Superfluidity and Bose-Einstein condensation in a dipolar Bose gas with weak disorder
• Cross-over to quasi-condensation: mean-field theories and beyond
• Local condensate depletion at trap center under strong interactions
• Large-$N$ properties of a non-ideal Bose gas
• Condensation and superfluidity of $SU(N)$ Bose gas
• Evidence for the breakdown of momentum independent many-body t-matrix approximation in the normal phase of Bosons