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Related papers: Equilibration in finite Bose systems

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The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy and generalized…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , M. Bortz , X. W. Guan , N. Oelkers

An effective Hamiltonian for the Bose system in the mixture of ultracold atomic clouds of bosons and fermions is obtained by integrating out the Fermi degrees of freedom. An instability of the Bose system is found in the case of attractive…

Statistical Mechanics · Physics 2007-05-23 S. -T. Chui , V. N. Ryzhov , E. E. Tareyeva

The theory of resonant generation of nonground-state Bose-Einstein condensates is extended to Bose-condensed systems at finite temperature. The generalization is based on the notion of representative statistical ensembles for Bose systems…

Statistical Mechanics · Physics 2015-06-25 V. I. Yukalov

Sympathetic cooling of an atomic Fermi gas by a Bose gas is studied by solution of the coupled quantum Boltzmann equations for the confined gas mixture. Results for equilibrium temperatures and relaxation dynamics are presented, and some…

Quantum Physics · Physics 2009-10-31 W. Geist , L. You , T. A. B. Kennedy

A quantum-field approach to studying the Bose systems at finite temperatures and in states with spontaneously broken symmetry, in particular in a superfluid state, is proposed. A generalized model of a self-consistent field (SCF) for…

Statistical Mechanics · Physics 2013-06-11 Yu. M. Poluektov

In ultra-relativistic heavy ion collisions, the matter formed shortly after the collision is a dense, out of equilibrium, system of gluons characterized by a semi-hard momentum scale $Q_{\rm s}$. Simple power counting arguments indicate…

High Energy Physics - Phenomenology · Physics 2015-05-28 Jean-Paul Blaizot , Francois Gelis , Jinfeng Liao , Larry McLerran , Raju Venugopalan

Finding equilibration times is a major unsolved problem in physics with few analytical results. Here we look at equilibration times for quantum gases of bosons and fermions in the regime of negligibly weak interactions, a setting which not…

Quantum Physics · Physics 2016-11-22 Terry Farrelly

A model kinetic equation is constructed for the transport of a massless Bose gas. This equation is applied to solution of the boundary value problem for the transport of radiation in the half-space occupied by a dispersive medium that is in…

Mathematical Physics · Physics 2010-12-15 A. V. Latyshev , A. A. Yushkanov

We develop an approach based on stochastic quantum trajectories for an incoherently pumped system of interacting bosons relaxing their energy in a thermal reservoir. Our approach enables the study of the versatile coherence properties of…

Quantum Gases · Physics 2015-09-17 H. Flayac , I. G. Savenko , M. Möttönen , T. Ala-Nissila

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.…

Quantum Gases · Physics 2023-02-21 Miłosz Panfil , Sarang Gopalakrishnan , Robert M. Konik

We investigate the transport behavior of finite modular quantum systems. Such systems have recently been analyzed by different methods. These approaches indicate diffusive behavior even and especially for finite systems. Inspired by these…

Statistical Mechanics · Physics 2009-11-13 Mehmet Kadiroglu , Jochen Gemmer

The variational theory of equilibrium boson system state to have been previously developed by the author under the density matrix formalism is applicable for researching equilibrium states and thermodynamic properties of the quantum Bose…

General Physics · Physics 2014-12-19 Boris Bondarev

A geometric interpretation for an algebraic interacting boson-fermion model with configuration mixing is presented. The formalism is based on an extended Bose-Fermi matrix coherent states and is applied to gain insight on intertwined…

Nuclear Theory · Physics 2025-06-17 A. Leviatan , N. Gavrielov

Experiments with trapped atomic gases have opened novel possibilities for studying the evolution of nonequilibrium finite quantum systems, which revived the necessity of reconsidering and developing the theory of such processes. This review…

Statistical Mechanics · Physics 2012-01-16 V. I. Yukalov

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of a mathematical…

Analysis of PDEs · Mathematics 2018-03-28 Enrique Cortés , Miguel Escobedo

We derive stochastic master equations for a quantum system interacting with a Bose field prepared in a superposition of continuous-mode coherent states. To determine a conditional evolution of the quantum system we use a collision model…

Quantum Physics · Physics 2020-02-11 Anita Dabrowska

The system that describes the dynamics of a Bose-Einstein Condensate (BEC) and the thermal cloud at finite temperature consists of a nonlinear Schrodinger (NLS) and a quantum Boltzmann (QB) equations. In such a system of trapped Bose gases…

Mathematical Physics · Physics 2017-12-12 Avy Soffer , Minh-Binh Tran

A homogeneous Bose gas is investigated at finite temperature using renormalization group techniques. A non--perturbative flow equation for the effective potential is derived using sharp and smooth cutoff functions. Numerical solutions of…

Condensed Matter · Physics 2009-10-31 Jens O. Andersen , Michael Strickland

When the temperature of a trapped Bose gas is below the Bose-Einstein transition temperature and above absolute zero, the gas is composed of two distinct components: the Bose-Einstein condensate and the cloud of thermal excitations. The…

Analysis of PDEs · Mathematics 2021-07-09 Gheorghe Craciun , Minh-Binh Tran

In this paper we study nonequilibrium dynamics of one dimensional Bose gas from the general perspective of dynamics of integrable systems. After outlining and critically reviewing methods based on inverse scattering transform, intertwining…

Quantum Gases · Physics 2010-05-19 Vladimir Gritsev , Timofei Rostunov , Eugene Demler