Principal problems in Bose-Einstein condensation of dilute gases

Abstract

A survey is given of the present state of the art in studying Bose-Einstein condensation of dilute atomic gases. The bulk of attention is focused on the principal theoretical problems, though the related experiments are also mentioned. Both uniform and nonuniform trapped gases are considered. Existing theoretical contradictions are critically analysed. A correct understanding of the principal theoretical problems is necessary for gaining a more penetrating insight into experiments with trapped atoms and for their proper interpretation.

Brief review, 53 pages, 2 figures

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Cited by in corpus (97)

• Cold Bosons in Optical Lattices
• Fermi-Bose mapping for one-dimensional Bose gases
• Weakly Interacting, Dilute Bose Gases in 2D
• Basics of Bose-Einstein Condensation
• Effects of symmetry breaking in finite quantum systems
• Bose-Einstein-condensed systems in random potentials
• Bose-Einstein condensation and gauge symmetry breaking
• Representative statistical ensembles for Bose systems with broken gauge symmetry
• Fluctuations of composite observables and stability of statistical systems
• Modified semiclassical approximation for trapped Bose gases
• Dipolar and spinor bosonic systems
• Bose-Einstein-condensed gases in arbitrarily strong random potentials
• Observation of Atom Number Fluctuations in a Bose-Einstein Condensate
• Complex modes in unstable quadratic bosonic forms
• Condensation of Ideal Bose Gas Confined in a Box Within a Canonical Ensemble
• Self-Consistent Theory of Bose-Condensed Systems
• Theory of Cold Atoms: Basics of Quantum Statistics
• Gap solitons in a model of a superfluid fermion gas in optical lattices
• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
• Nonequivalent operator representations for Bose-condensed systems
• Bose-Einstein-condensed gases with arbitrary strong interactions
• Thermodynamics in expanding shell-shaped Bose-Einstein condensates
• Interacting bosons in an optical lattice
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N
• Thermodynamics of ultracold trapped gases. Generalized mechanical variables, equation of state and heat capacity
• Superfluid Fermi-Fermi mixture: phase diagram, stability, and soliton formation
• Theory of cold atoms: Bose-Einstein statistics
• Turbulent superfluid as continuous vortex mixture
• Formation and structure of vortex lattices in a rotating double-well Bose-Einstein condensate
• Condensate and superfluid fractions for varying interactions and temperature
• Extrapolation of power series by self-similar factor and root approximants
• Bose-Einstein condensation temperature of weakly interacting atoms
• Nonequilibrium Bose systems and nonground-state Bose-Einstein condensates
• Phase separation can be stronger than chaos
• Optimal trap shape for a Bose gas with attractive interactions
• Normal and Anomalous Averages for Systems with Bose-Einstein Condensate
• Bose-Einstein condensation with a finite number of particles in a power-law trap
• No Anomalous Fluctuations Exist in Stable Equilibrium Systems
• Adiabatic theorems for linear and nonlinear Hamiltonians
• Polymer Bose--Einstein Condensates
• Gap solitons in superfluid boson-fermion mixtures
• Generation of nonground-state condensates and adiabatic paradox
• Formation of granular structures in trapped Bose-Einstein condensates under oscillatory excitations
• Conserving Gapless Mean-Field Theory for Weakly Interacting Bose Gases
• Cold atoms in double-well optical lattices
• Difference in Bose-Einstein condensation of conserved and unconserved particles
• Number-of-particle fluctuations in systems with Bose-Einstein condensate
• Microcanonical fluctuations of the condensate in weakly interacting Bose gases
• Calculation of critical exponents by self-similar factor approximants
• Nonlinear dynamics of ultracold gases in double-well lattices
• Information-theoretic equilibrium and observable thermalization
• Self-similar factor approximants for evolution equations and boundary-value problems
• Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture
• Exact 1/N and Optimized Perturbative Evaluation of mu_c for Homogeneous Interacting Bose Gases
• Entanglement production with multimode Bose-Einstein condensates in optical lattices
• Bose systems in spatially random or time-varying potentials
• Modified Bosonic Gas Trapped in a Generic 3-dim Power Law Potential
• Particle fluctuations in nonuniform and trapped Bose gases
• Statistical Outliers and Dragon-Kings as Bose-Condensed Droplets
• Order parameter for the dynamical phase transition in Bose-Einstein condensates with topological modes
• Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas
• Ehrenfest breakdown of the mean-field dynamics of Bose gases
• Effects of disorder on quantum fluctuations and superfluid density of a Bose-Einstein condensate in a two-dimensional optical lattice
• Interplay Between Approximation Theory and Renormalization Group
• Dissipation-managed soliton in a quasi-one-dimensional Bose-Einstein condensate
• Mode interference in quantum joint probabilities for multimode Bose-condensed systems
• Dynamical Universal Behavior in Quantum Chaotic Systems
• Analogy electromagnetism-acoustics: Validation and application to local impedance active control for sound absorption
• Effective Potential and Thermodynamics for a Coupled Two-Field Bose Gas Model
• Bright solitons and soliton trains in a fermion-fermion mixture
• Mesoscopic disorder in double-well optical lattices
• Black soliton in a quasi-one-dimensional trapped fermion-fermion mixture
• Fluctuation indices for atomic systems with Bose-Einstein condensate
• Weak coupling regime of the Landau-Zener transition for association of an atomic Bose-Einstein condensate
• Regulating atomic imbalance in double-well lattices
• Critical Temperature in Weakly Interacting Multicomponent Field Theory
• Simulation of a stationary dark soliton in a trapped zero-temperature Bose-Einstein condensate
• Entanglement production with Bose atoms in optical lattices
• From Coherent Modes to Turbulence and Granulation of Trapped Gases
• Critical temperature of noninteracting bosonic gases in cubic optical lattices at arbitrary integer fillings
• Quantum thermalization and equilibrium state with multiple temperatures
• Local condensate depletion at trap center under strong interactions
• Bose-Einstein Condensation and Symmetry Breaking of a Complex Charged Scalar Field
• Models of Mixed Matter
• Kinetic energy of Bose systems and variation of statistical averages
• Self-consistent approach for Bose-condensed atoms in optical lattices
• On the fluctuations of the number of atoms in the condensate
• Mid-range order in trapped quasi-condensates of bosonic atoms
• Stability of normal quantum-fluid mixtures
• Gaussian fluctuations in an ideal bose-gas -- a simple model
• Unified theory of quantum crystals and optical lattices with Bose-Einstein condensate
• Giant vortex in a harmonically-trapped rotating dipolar ${}^{164}$Dy condensate
• Self-Similarly Corrected Pade Approximants for the Indeterminate Problem
• Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps
• Order indices of density matrices for finite systems
• Particle Fluctuations in Mesoscopic Bose Systems
• Effects of quenching protocols based on parametric oscillators