Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate

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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References in corpus (6)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Theory of the Weakly Interacting Bose Gas
• Ultracold atoms in optical lattices
• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Six Loops
• Reentrant Phenomenon in Quantum Phase Diagram of Optical Boson Lattice
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• Bose - Einstein condensation of triplons with a weakly broken U(1) symmetry
• Phase diagram for interacting Bose gases
• Leading-Order Auxiliary Field Theory of the Bose-Hubbard Model
• Flow and critical velocity of an imbalanced Fermi gas through an optical potential