Bose-Einstein condensation temperature of weakly interacting atoms

Abstract

The critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of Bose-Einstein condensation for different systems are reviewed, including homogenous Bose gas, trapped Bose atoms, and bosons in optical lattices. The method of self-similar approximants, convenient for calculating critical temperature, is briefly delineated.

Latex file, 28 pages, 2 figures

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Supersolid hardcore bosons on the triangular lattice
• Cold Bosons in Optical Lattices
• Bose-Einstein Condensation Temperature of Homogenous Weakly Interacting Bose Gas in Variational Perturbation Theory Through Seven Loops
• Effects of Interactions on the Critical Temperature of a Trapped Bose Gas
• Fluctuations of composite observables and stability of statistical systems
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Method of self-similar factor approximants
• Applicability of the Linear delta Expansion for the lambda phi^4 Field Theory at Finite Temperature in the Symmetric and Broken Phases
• Critical Temperature of Weakly Interacting Dipolar Condensates
• Bose-Einstein Condensation Temperature of Dipolar Gas in Anisotropic Harmonic Trap
• Ground state of a homogeneous Bose gas of hard spheres
• Shift of BEC Temperature of Homogenous Weakly Interacting Bose Gas
• Instability of insulating states in optical lattices due to collective phonon excitations
• Statistical systems with nonintegrable interaction potentials

Cited by in corpus (8)

• Interplay Between Approximation Theory and Renormalization Group
• Models of Mixed Matter
• Describing phase transitions in field theory by self-similar approximants
• Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit
• Mid-range order in trapped quasi-condensates of bosonic atoms
• Particle Fluctuations in Mesoscopic Bose Systems
• Condensation temperature of strongly interacting ${}^{39}K$ condensates in the mean-field and semi-classical approximations
• From Asymptotic Series to Self-Similar Approximants