Dependence of the BEC transition temperature on interaction strength: a perturbative analysis

Abstract

We compute the critical temperature T_c of a weakly interacting uniform Bose gas in the canonical ensemble, extending the criterion of condensation provided by the counting statistics for the uniform ideal gas. Using ordinary perturbation theory, we find in first order $(T_c-T_c^0)/T_c^0=-0.93a{\rho }^{1/3}$, where T_c^0 is the transition temperature of the corresponding ideal Bose gas, a is the scattering length, and $\rho$ is the particle number density.

14 pages (RevTeX)

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
• Thermodynamic identities and particle number fluctuations in weakly interacting Bose--Einstein condensates

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• Transition temperature of a dilute homogeneous imperfect Bose gas
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• Probing the classical field approximation - thermodynamics and decaying vortices
• An exact stochastic field method for the interacting Bose gas at thermal equilibrium
• Condensate statistics in interacting Bose gases: exact results
• Analytical theory of mesoscopic Bose-Einstein condensation in ideal gas
• On the Convergence of the Linear Delta Expansion for the Shift in T_c for Bose-Einstein Condensation
• Bose-Einstein condensation of two interacting particles
• Finite size scaling and the role of the thermodynamic ensemble in the transition temperature of a dilute Bose gas
• Quantum Phase Diagram for Homogeneous Bose-Einstein Condensate
• Two characteristic temperatures for a Bose-Einstein condensate of a finite number of particles
• Self-similar analytical solution of the critical fluctuations problem for the Bose-Einstein condensation in an ideal gas
• Landau functions for non-interacting bosons
• Phase diagram for interacting Bose gases
• Transition temperature and thermodynamic properties of homogeneous weakly interacting Bose gas in self-consistent Popov approximation
• Fock State Sampling Method -- Characteristic temperature of maximal fluctuations for interacting bosons in box potentials