Thermodynamic properties of confined interacting Bose gases - a renormalization group approach

Abstract

A renormalization group method is developed with which thermodynamic properties of a weakly interacting, confined Bose gas can be investigated. Thereby effects originating from a confining potential are taken into account by periodic boundary conditions and by treating the resulting discrete energy levels of the confined degrees of freedom properly. The resulting density of states modifies the flow equations of the renormalization group in momentum space. It is shown that as soon as the characteristic length of confinement becomes comparable to the thermal wave length of a weakly interacting and trapped Bose gas its thermodynamic properties are changed significantly. This is exemplified by investigating characteristic bunching properties of the interacting Bose gas which manifest themselves in the second order coherence factor.

References in corpus (5)

• The transition temperature of the dilute interacting Bose gas
• The transition temperature of the dilute interacting Bose gas for $N$ internal degrees of freedom
• Transition Temperature of the homogeneous, weakly interacting Bose gas
• Transition Temperature of a Uniform Imperfect Bose Gas
• The density dependence of the transition temperature in a homogenous Bose flui

Cited by in corpus (10)

• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
• Bose-Einstein Condensation Temperature of a Homogeneous Weakly Interacting Bose Gas : PIMC study
• Control of Fano resonances and slow light using Bose-Einstein condensates in a nanocavity
• Critical behavior of weakly interacting bosons: A functional renormalization group approach
• Classical fields approximation for cold weakly interacting bosons without free parameters
• Condensation temperature of interacting Bose gases with and without disorder
• Thermodynamics of a trapped interacting Bose gas and the renormalization group
• Non-Analytic Vertex Renormalization of a Bose Gas at Finite Temperature
• The epsilon-expansion in the symmetry-broken phase of an interacting Bose gas at finite temperature
• Bogoliubov phonons in a Bose-Einstein condensate from the one-loop perturbative renormalization group