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We experimentally and numerically investigate thermalization processes of a trapped $^{87}$Rb Bose gas, initially prepared in a non-equilibrium state through partial Bragg diffraction of a Bose-Einstein condensate (BEC). The system evolves…

量子气体 · 物理学 2018-07-18 D. J. Brown , A. V. H. McPhail , D. H. White , D. Baillie , S. K. Ruddell , M. D. Hoogerland

We discuss stochastic phase-space methods within the truncated Wigner approximation and show explicitly that they can be used to solve non-equilibrium dynamics of bosonic atoms in one-dimensional traps. We consider systems both with and…

量子气体 · 物理学 2012-09-25 J. Ruostekoski , A. D. Martin

We consider an equilibrium single-species homogeneous Bose gas from which a proportion of the atoms are instantaneously and coherently transferred to a second species, thereby forming a binary Bose gas in a non-equilibrium initial state. We…

量子气体 · 物理学 2015-06-22 R. W. Pattinson , N. P. Proukakis , N. G. Parker

We study the occurrence of a Bose-Einstein transition in a dilute gas with repulsive interactions, starting from temperatures above the transition temperature. The formalism, based on the use of Ursell operators, allows us to evaluate the…

统计力学 · 物理学 2007-05-23 M. Holzmann , P. Gruter , F. Laloe

As a toy model for dynamics in nonequilibrium quantum field theory we consider the abelian Higgs model in 1+1 dimensions with fermions. In the approximate dynamical equations, inhomogeneous classical (mean) Bose fields are coupled to…

高能物理 - 唯象学 · 物理学 2009-10-31 Gert Aarts , Jan Smit

The large-scale expansion dynamics of quantum gases is a central tool for ultracold gas experiments and poses a significant challenge for theory. In this work we provide an exact reformulation of the Gross-Pitaevskii equation for the…

量子气体 · 物理学 2022-11-23 Ashton S. Bradley , Jordan Clarke , Tyler W. Neely , Brian P Anderson

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 provide a rigorous derivation of nonlinear Gibbs measures in two and three space dimensions, starting from many-body quantum systems in thermal equilibrium. More precisely, we prove that the grand-canonical Gibbs state of a large bosonic…

偏微分方程分析 · 数学 2020-10-14 Mathieu Lewin , Phan Thành Nam , Nicolas Rougerie

We investigate the thermodynamic behaviour of a Bose gas interacting with repulsive forces and confined in a harmonic anisotropic trap. We develop the formalism of mean field theory for non uniform systems at finite temperature, based on…

凝聚态物理 · 物理学 2015-06-25 S. Giorgini , L. P. Pitaevskii , S. Stringari

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with…

数学物理 · 物理学 2016-03-09 L. Arkeryd , A. Nouri

The performance of the positive P phase-space representation for exact many-body quantum dynamics is investigated. Gases of interacting bosons are considered, where the full quantum equations to simulate are of a Gross-Pitaevskii form with…

统计力学 · 物理学 2009-11-10 P. Deuar , P. D. Drummond

Starting with a scalar field in a thermal bath and using the one loop quantum correction potential, we rewrite the Klein-Gordon equation in its thermodynamical representation and study the behavior of this scalar field due to temperature…

广义相对论与量子宇宙学 · 物理学 2014-02-04 T. Matos , A. Suárez

A generalised stochastic Gross-Pitaevskii equation describing a partially condensed trapped Bose gas with rotating thermal component is presented. We elucidate the manner in which the rotation changes the role of the high energy cutoff and…

其他凝聚态物理 · 物理学 2007-05-23 A. S. Bradley , C. W. Gardiner

In the Bogoliubov theory a condensate initially prepared in its ground state described by stationary Bogoliubov vacuum and later perturbed by a time-dependent potential or interaction strength evolves into a time-dependent excited state…

其他凝聚态物理 · 物理学 2009-11-11 Jacek Dziarmaga , Krzysztof Sacha

The moment method is applied to the quantum theory for a trapped dilute gas, obtaining equations for the evolution of the cloud. These equations proof the existence of undamped oscillations in a two-dimensional harmonic trap with radial…

凝聚态物理 · 物理学 2007-05-23 Juan Jose Garcia-Ripoll

We explore atom-laser-like transport processes of ultracold Bose-condensed atomic vapors in mesoscopic waveguide structures beyond the Gross-Pitaevskii mean-field theory. Based on a microscopic description of the transport process in the…

量子气体 · 物理学 2015-05-13 Thomas Ernst , Tobias Paul , Peter Schlagheck

The Bose-Einstein condensation of atoms can be conveniently formulated as a problem in thermal quantum field theory. There are many properties of the equilibrium system and its collective excitations that can be studied experimentally. The…

高能物理 - 唯象学 · 物理学 2007-05-23 Eric Braaten

We use the time-dependent variational of Balian and Veneroni to derive a set of equations governing the dynamics of a trapped Bose gas at finite temperature. We show that this dynamics generalizes the Gross-Pitaevskii equations in that it…

其他凝聚态物理 · 物理学 2009-11-11 M. Benarous

We review the stochastic Gross-Pitaevskii approach for non-equilibrium finite temperature Bose gases, focussing on the formulation of Stoof; this method provides a unified description of condensed and thermal atoms, and can thus describe…

量子气体 · 物理学 2017-08-23 Stuart P. Cockburn , Nick P. Proukakis

We consider a finite-temperature Bose-Einstein condensate in a quasi-two-dimensional trap containing a single precessing vortex. We find that such a configuration arises naturally as an ergodic equilibrium of the projected Gross-Pitaevskii…

量子气体 · 物理学 2009-11-29 T. M. Wright , A. S. Bradley , R. J. Ballagh