Nonperturbative thermodynamics of an interacting Bose gas

Abstract

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.

10 pages, 15 figures

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• Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)
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• Renormalization Group Approach to the Infrared Behavior of a Zero-Temperature Bose System
• A Primary Noise Thermometer for Ultracold Bose Gases
• Infrared Behavior of Interacting Bosons at Zero Temperature
• Functional renormalization for Bose-Einstein Condensation
• Functional renormalization for quantum phase transitions with non-relativistic bosons
• Bose-Einstein condensation of interacting gases

Cited by in corpus (20)

• The nonperturbative functional renormalization group and its applications
• Basics of Bose-Einstein Condensation
• Functional renormalization group approach to the BCS-BEC crossover
• Universal thermodynamics of a two-dimensional Bose gas
• Infrared behavior and spectral function of a Bose superfluid at zero temperature
• Modified Fermi-sphere, pairing gap and critical temperature for the BCS-BEC crossover
• Dimensional crossover of nonrelativistic bosons
• A Non-Perturbative Renormalization Group approach to quantum XY spin models
• Hydrodynamic modes of partially condensed Bose mixtures
• Particle fluctuations in nonuniform and trapped Bose gases
• Isothermal compressibility determination across Bose-Einstein condensation
• Application of the functional renormalization group to Bose gases: from linear to hydrodynamic fluctuations
• Condensate density of interacting bosons: a functional renormalization group approach
• Functional renormalization for repulsive Bose-Bose mixtures at zero temperature
• Local condensate depletion at trap center under strong interactions
• Hydrodynamic collective modes for cold trapped gases
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Squeezed field path integral description of second sound in Bose-Einstein condensates
• Condensation and superfluidity of $SU(N)$ Bose gas
• Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group