Quantum Kinetic Theory for a Condensed Bosonic Gas

Abstract

We present a kinetic theory for Bose-Einstein condensation of a weakly interacting atomic gas in a trap. Starting from first principles, we establish a Markovian kinetic description for the evolution towards equilibrium. In particular, we obtain a set of self-consistent master equations for mean fields, normal densities, and anomalous fluctuations. These kinetic equations generalize the Gross-Pitaevskii mean-field equations, and merge them consistently with a quantum-Boltzmann equation approach.

15 pages, no figures; reviewed version; to be published in PRA

References in corpus (7)

• Damping in dilute Bose gases: a mean-field approach
• Anomalous fluctuations of the condensate in interacting Bose gases
• Collective excitations of Bose-Einstein condensed gases at finite temperatures
• Quantum Kinetic Theory III: Quantum kinetic master equation for strongly condensed trapped systems
• Finite Temperature Perturbation Theory for a Spatially Inhomogeneous Bose-condensed Gas
• Gapless finite-$T$ theory of collective modes of a trapped gas
• Quantum kinetic theory IV: Intensity and amplitude fluctuations of a Bose- Einstein condensate at finite temperature including trap loss

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• Evaporative Cooling of a Two-Component Degenerate Fermi Gas
• A microscopic quantum dynamics approach to the dilute condensed Bose gas
• Nonequilibrium Dynamics of Optical Lattice-Loaded BEC Atoms: Beyond HFB Approximation
• Quantum Kinetic Theory V: Quantum kinetic master equation for mutual interaction of condensate and noncondensate
• Stochastic Dynamics of a Trapped Bose-Einstein Condensate
• Condensate growth in trapped Bose gases
• Finite temperature vortex dynamics in Bose Einstein condensates
• Modelling Bose-condensed gases at finite temperatures with $N$-body simulations
• Dynamics of thermal Bose fields in the classical limit
• Nonperturbative dynamical many-body theory of a Bose-Einstein condensate
• A number-conserving approach to a minimal self-consistent treatment of condensate and non-condensate dynamics in a degenerate Bose gas
• The Stochastic Gross-Pitaevskii Equation and some Applications
• Thermodynamics of an interacting trapped Bose-Einstein gas in the classical field approximation
• Evolutionary games of condensates in coupled birth-death processes
• Finite-temperature simulations of the scissors mode in Bose-Einstein condensed gases
• Quantum effects on dynamics of instabilities in Bose-Einstein condensates
• A comparison between microscopic methods for finite temperature Bose gases
• Quantitative test of thermal field theory for Bose-Einstein condensates
• The response of Bose-Einstein condensates to external perturbations at finite temperature
• Reversible and irreversible evolution of a condensed bosonic gas
• Equivalence of Kinetic Theories of Bose-Einstein Condensation
• Damping of condensate collective modes due to equilibration with the non-condensate
• On the anomalous density for Bose gases at finite temperature
• Many-body physics in the classical-field description of a degenerate Bose gas
• Self-consistent quantum kinetics of condensate and non-condensate via a coupled equation of motion formalism
• Generalized coherent state representation of Bose-Einstein condensates
• Ultracold gases far from equilibrium
• Quantum Kinetic Theory of BEC Lattice Gas:Boltzmann Equations from 2PI-CTP Effective Action
• Damped Bogoliubov excitations of a condensate interacting with a static thermal cloud
• Quantitative test of thermal field theory for Bose-Einstein condensates II
• Cross-over to quasi-condensation: mean-field theories and beyond
• Non-equilibrium dynamics of a Bose-Einstein condensate in an optical lattice
• Collective modes and generation of a new vortex in a trapped Bose gas at finite temperature
• Dropping cold quantum gases on Earth over long times and large distances
• Evaporative cooling of cold atoms at surfaces
• 2PI nonequilibrium versus transport equations for an ultracold Bose gas
• Comparative studies of many-body corrections to an interacting Bose condensate
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• Microscopic nonequilibrium dynamics of an inhomogeneous Bose gas beyond the Born approximation
• Kinetic Model of Trapped Finite Temperature Binary Condensates
• Microscopic scattering theory for interacting bosons in weak random potentials
• Ground state correlations in a trapped quasi one-dimensional Bose Gas
• Kinetics of Bose-Einstein condensation in a dimple potential
• Collective excitations of a dilute Bose gas at finite temperature: TDHFB Theory
• Kinetic theory and dynamic structure factor of a condensate in the random phase approximation
• Coarse-Grained Finite-Temperature Theory for the Condensate in Optical Lattices
• Exploring the growth of correlations in a quasi one-dimensional trapped Bose gas
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• Number-conserving master equation theory for a dilute Bose-Einstein condensate
• A Non-Equilibrium Kinetic Theory for Trapped Binary Condensates
• Quasi-classical Approach to Bose Condensation in a Finite Potential Well
• Beyond Gross-Pitaevskii Mean Field Theory
• Mechanical response functions of finite temperature Bose-Einstein Condensates
• Collapse and revival of excitations in Bose-Einstein condensates
• Zero sound in a quantum gas of spin-3/2 atoms with multipole exchange interaction
• Condensate Oscillations, Kinetic Equations and Two-Fluid Hydrodynamics in a Bose Gas
• Transition of a mesoscopic bosonic gas into a Bose-Einstein condensate
• General collisionless kinetic approach to studying excitations in arbitrary-spin quantum atomic gases
• Energetic cooling below the BEC transition: a quantum kinetic description within the Bogoliubov approximation