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.

arXiv commentLatex file, 28 pages, 2 figures

References in corpus (60)

• Many-Body Physics with Ultracold Gases
• Maximally localized Wannier functions: Theory and applications
• Bose-Einstein condensation of atoms in a uniform potential
• Theory of the Weakly Interacting Bose Gas
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Supersolid hardcore bosons on the triangular lattice
• Worm algorithms for classical statistical models
• Phases of the one-dimensional Bose-Hubbard model
• Cold Bosons in Optical Lattices
• Transition temperature of a dilute homogeneous imperfect Bose gas
• Supersolids in the Bose-Hubbard Hamiltonian
• Principal problems in Bose-Einstein condensation of dilute gases
• Ground state of a homogeneous Bose gas: a diffusion Monte Carlo calculation
• Bose-Einstein Condensation in a Harmonic Potential
• The critical temperature of a trapped, weakly interacting Bose gas
• Basics of Bose-Einstein Condensation
• The transition temperature of the dilute interacting Bose gas for $N$ internal degrees of freedom
• Effects of symmetry breaking in finite quantum systems
• 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
• Bose-Einstein condensation and gauge symmetry breaking
• Self-Similar Factor Approximants
• Critical temperature of interacting Bose gases in two and three dimensions
• A Nonperturbative Study of Inverse Symmetry Breaking at High Temperatures
• Precision Monte Carlo Test of the Hartree-Fock Approximation for a trapped Bose Gas
• Monte Carlo simulation of O(2) phi^4 field theory in three dimensions
• T_c for homogeneous dilute Bose gases: a second-order result
• Fluctuations of composite observables and stability of statistical systems
• Modified semiclassical approximation for trapped Bose gases
• Transition Temperature for Weakly Interacting Homogeneous Bose Gases
• Summation of Power Series by Self-Similar Factor Approximants
• Non-analytic dependence of the transition temperature of the homogeneous dilute Bose gas on scattering length
• T_c for trapped dilute Bose gases: a second-order result
• Convergent resummed linear delta expansion in the critical O(N) (ϕ_i^2)^2_{3d} model
• A new improved optimization of perturbation theory: applications to the oscillator energy levels and Bose-Einstein critical temperature
• Self-Similar Structures and Fractal Transforms in Approximation Theory
• Higher Order Evaluation of the Critical Temperature for Interacting Homogeneous Dilute Bose Gases
• Critical Temperature of a Trapped Bose Gas: Mean-Field Theory and Fluctuations
• Asymptotically Improved Convergence of Optimized Perturbation Theory in the Bose-Einstein Condensation Problem
• Monte Carlo studies of three-dimensional O(1) and O(4) \boldmath{${\varphi }^4$} theory related to BEC phase transition temperatures
• Non-universal Critical Quantities from Variational Perturbation Theory and Their Application to the BEC Temperature Shift
• Convergence of the Linear Delta Expansion in the Critical O(N) Field Theory
• Interacting bosons in an optical lattice
• 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
• Condensed Fraction of an Atomic Bose Gas Induced by Critical Correlations
• Path-Integral Ground-State and Superfluid Hydrodynamics of a Bosonic Gas of Hard Spheres
• Bose-Einstein Condensation Temperature of Dipolar Gas in Anisotropic Harmonic Trap
• On the Convergence of the Linear Delta Expansion for the Shift in T_c for Bose-Einstein Condensation
• No Anomalous Fluctuations Exist in Stable Equilibrium Systems
• 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
• Critical Temperature in Weakly Interacting Multicomponent Field Theory
• Critical Temperature of Interacting Bose Gases in Periodic Potentials
• Interaction effects on atomic laboratory trapped Bose-Einstein condensates
• Self-consistent approach for Bose-condensed atoms in optical lattices
• Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps

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• Interplay Between Approximation Theory and Renormalization Group
• Models of Mixed Matter
• Local condensate depletion at trap center under strong interactions
• Effects of exchange and weak Dzyaloshinsky-Moriya anisotropies on thermodynamic characteristics of spin-gapped magnets
• Calculation of the critical temperature of a dilute Bose gas in the Bogoliubov approximation
• Describing phase transitions in field theory by self-similar approximants
• Mid-range order in trapped quasi-condensates of bosonic atoms
• Self-similar extrapolation of nonlinear problems from small-variable to large-variable limit
• Hugenholtz -- Pines relations and the critical temperature of a Rabi coupled binary Bose system
• From Asymptotic Series to Self-Similar Approximants
• Condensation temperature of strongly interacting ${}^{39}K$ condensates in the mean-field and semi-classical approximations
• Particle Fluctuations in Mesoscopic Bose Systems