Nonperturbative thermodynamics of an interacting Bose gas

Details Nonperturbative thermodynamics of an interacting Bose gas Nonperturbative thermodynamics of an interacting Bose gas

2009-03-02

arxiv.org/abs/0903.0260v1

Phys. Rev. A 79, 063602 (2009)

Physics

Condensed Matter

Quantum Gases

10 pages, 15 figures

Scientific paper

10.1103/PhysRevA.79.063602

We discuss the thermodynamics of a non-relativistic gas of bosons with a local repulsive interaction. In particular, we compute the temperature and density dependence of pressure, energy and entropy-density, superfluid and condensate-fraction, correlation length, specific heat, isothermal and adiabatic compressibility and various sound velocities. The T->0 limit approaches the quantum phase transition, while the universal critical behavior of a classical second order phase transition in the O(2) universality class determines the region around the critical temperature. Our non-perturbative flow equations based on exact functional renormalization cover all regions in the phase diagram.

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