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We discuss the equivalence of two non-equilibrium kinetic theories that describe the evolution of a dilute, Bose-Einstein condensed atomic gas in a harmonic trap. The second-order kinetic equations of Walser et al. [PRA 63, 013607 (2001)]…

统计力学 · 物理学 2009-11-07 J. Wachter , R. Walser , J. Cooper , M. Holland

From the microscopic theory, we derive a number conserving quantum kinetic equation, valid for a dilute Bose gas at any temperature, in which the binary collisions between the quasi-particles are mediated by phonon-like excitations (called…

统计力学 · 物理学 2007-05-23 Patrick Navez

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…

统计力学 · 物理学 2009-10-31 R. Walser , J. Williams , J. Cooper , M. Holland

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

量子气体 · 物理学 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We present an analytical approximation for nonlinear dynamics of trapped Bose-co ndensed gases. The new approximation is a substantial improvement over the Thomas-Fermi approximation and is shown to be applicable for systems with a rather…

统计力学 · 物理学 2007-05-23 Alexander L. Zubarev , Yeong E. Kim

A link between memory effects in quantum kinetic equations and nonequilibrium correlations associated with the energy conservation is investigated. In order that the energy be conserved by an approximate collision integral, the one-particle…

统计力学 · 物理学 2007-05-23 V. G. Morozov , Gerd Ropke

A kinetic equation for a dilute gas of hard spheres confined between two parallel plates separated a distance smaller than two particle dimeters is derived. It is a Boltzmann-like equation, which incorporates the effect of the confinement…

统计力学 · 物理学 2016-11-23 J. Javier Brey , P. Maynar , M. I. García de Soria

Starting from an approximate microscopic model of a trapped Bose-condensed gas at finite temperatures, we derive an equation of motion for the condensate wavefunction and a quantum kinetic equation for the distribution function for the…

统计力学 · 物理学 2007-05-23 E. Zaremba , T. Nikuni , A. Griffin

A dynamical many-body theory is presented which systematically extends beyond mean-field and perturbative quantum-field theoretical procedures. It allows us to study the dynamics of strongly interacting quantum-degenerate atomic gases. The…

其他凝聚态物理 · 物理学 2010-02-04 Thomas Gasenzer , Juergen Berges , Michael G. Schmidt , Marcos Seco

We study the non-equilibrium dynamics of a one-dimensional Bose gas trapped by a harmonic potential for a quench from zero to infinite interaction. The different thermodynamic limits required for the equilibrium pre- and post-quench…

量子气体 · 物理学 2018-04-06 Mario Collura , Márton Kormos , Pasquale Calabrese

We review the basic concepts of a non-equilibrium kinetic theory of a trapped bosonic gas. By extending the successful mean-field concept of the Gross-Pitaevskii equation with the effects of non-local, two particle quantum correlations, one…

介观与纳米尺度物理 · 物理学 2009-11-10 R. Walser

We present a general framework in which we can accurately describe the non-equilibrium dynamics of trapped atomic gases. This is achieved by deriving a single Fokker-Planck equation for the gas. In this way we are able to discuss not only…

统计力学 · 物理学 2007-05-23 H. T. C. Stoof

Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains. In these systems, there is a natural separation of scales between the strong intra-chain interactions and the weak interchain coupling.…

量子气体 · 物理学 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik

The far-from-equilibrium dynamics of an ultracold, one-dimensional Bose gas is studied. The focus is set on the comparison between the solutions of fully dynamical evolution equations derived from the 2PI effective action and their…

其他凝聚态物理 · 物理学 2008-11-26 Alexander Branschädel , Thomas Gasenzer

We present a kinetic description of Bose-Einstein condensation for particle systems being out of thermal equilibrium, which may happen for gluons produced in the early stage of ultra-relativistic heavy-ion collisions. The dynamics of bosons…

高能物理 - 唯象学 · 物理学 2017-08-02 Kai Zhou , Zhe Xu , Pengfei Zhuang , Carsten Greiner

We calculate the frequencies and damping rates of the low-lying collective modes of a Bose-Einstein condensed gas at nonzero temperature. We use a complex nonlinear Schr\"odinger equation to determine the dynamics of the condensate atoms,…

凝聚态物理 · 物理学 2014-10-13 U. Al Khawaja , H. T. C. Stoof

Recently the authors used the Kadanoff-Baym non-equilibrium Green's function formalism to derive kinetic equation for the non-condensate atoms, in conjunction with a consistent generalization of the Gross-Pitaevskii equation for the Bose…

凝聚态物理 · 物理学 2016-08-31 M. Imamovic-Tomasovic , A. Griffin

In this paper we use microscopic arguments to derive a nonlinear Schr\"{o}dinger equation for trapped Bose-condensed gases. This is made possible by considering the equations of motion of various anomalous averages. The resulting equation…

统计力学 · 物理学 2009-10-30 N. P. Proukakis , K. Burnett , H. T. C. Stoof

We formulate a generalized self-consistent stochastic quantum kinetic theory for finite-temperature ultracold Bose gases interacting via a generic long-range interaction, applicable to a broad range of systems, by means of Keldysh…

量子气体 · 物理学 2025-07-28 Nick P. Proukakis , Gerasimos Rigopoulos , Alex Soto

This article is devoted to the study of two-dimensional Bose gases harmonically confined. We first summarize their equilibrium properties. For such a gas above the critical temperature, we also derive the frequencies and the damping of the…

其他凝聚态物理 · 物理学 2015-06-24 David Guery-Odelin , Thierry Lahaye
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