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Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate

Hagen Kleinert·Sebastian Schmidt·Axel Pelster
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Abstract

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

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Hagen Kleinert, Sebastian Schmidt, Axel Pelster. 2003-08-27. Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate. https://doi.org/10.1002/andp.200410104

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