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We perform an analysis of the supercooled state in an analogue to an early universe phase transition based on a one dimensional, two-component Bose gas. We demonstrate that the thermal fluctuations in the relative phase between the…

量子气体 · 物理学 2020-10-28 Thomas P. Billam , Kate Brown , Ian G. Moss

The microscopic mechanism of thermal dissipation in quantum turbulence has been numerically studied by solving the coupled system involving the Gross-Pitaevskii equation and the Bogoliubov-de Gennes equation. At low temperatures, the…

无序系统与神经网络 · 物理学 2009-11-11 Michikazu Kobayashi , Makoto Tsubota

We sketch the major steps in a functional integral derivation of a new set of Stochastic Gross-Pitaevsky equations (GPE) for a Bose-Einstein condensate (BEC) confined to a trap at zero temperature with the averaged effects of non-condensate…

统计力学 · 物理学 2009-11-13 Esteban Calzetta , B. L. Hu , Enric Verdaguer

A polyatomic ideal gas with weak interaction between the translational and internal modes is considered. For the purpose of describing the behavior of such a gas, a Boltzmann equation is proposed in the form that the collision integral is a…

偏微分方程分析 · 数学 2026-03-31 Kazuo Aoki , Niclas Bernhoff

We study the dynamics of a two-dimensional Bose gas after an instantaneous quench of an initially ultracold thermal atomic gas across the Berezinskii-Kosterlitz-Thouless phase transition, confirming via stochastic simulations that the…

量子气体 · 物理学 2019-10-04 Paolo Comaron , Fabrizio Larcher , Franco Dalfovo , Nikolaos P. Proukakis

The Boltzmann equation is a powerful theoretical tool for modeling the collective dynamics of quantum many-body systems subject to external perturbations. Analysis of the equation gives access to linear response properties including…

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

We propose a new formulation of the fluctuating lattice Boltzmann equation that is consistent with both equilibrium statististical mechanics and fluctuating hydrodynamics. The formalism is based on a generalized lattice-gas model, with each…

软凝聚态物质 · 物理学 2009-11-13 Burkhard Duenweg , Ulf D. Schiller , Anthony J. C. Ladd

Spatio-temporal scaling dynamics connected to non-thermal fixed points has been suggested as a universal framework to describe the relaxation of isolated far-from-equilibrium systems. Experimental studies in weakly-interacting cold atom…

A review is given of recent theoretical work on the superfluid dynamics of trapped Bose gases at finite temperatures, where there is a significant fraction of non-condensate atoms. One can now reach large enough densities and collision…

凝聚态物理 · 物理学 2007-05-23 Allan Griffin , Tetsuro Nikuni

New efficient and accurate numerical methods are proposed to compute ground states and dynamics of dipolar Bose-Einstein condensates (BECs) described by a three-dimensional (3D) Gross-Pitaevskii equation (GPE) with a dipolar interaction…

量子气体 · 物理学 2021-10-26 Weizhua Bao , Yongyong Cai , Hanquan Wang

An ultradilute quantum droplet is a self-bound liquid-like state recently observed in ultracold Bose-Einstein condensates. In all previous theoretical studies, it is described by a phenomenological low-energy effective theory, termed as the…

量子气体 · 物理学 2020-10-07 Hui Hu , Xia-Ji Liu

This article reviews the recent theoretical and experimental advances in the study of ultracold gases made of bosonic particles interacting via the long-range, anisotropic dipole-dipole interaction, in addition to the short-range and…

量子气体 · 物理学 2009-11-20 T Lahaye , C Menotti , L Santos , M Lewenstein , T Pfau

Using the time-dependent Hartree-Fock-Bogoliubov approach, where the condensate is coupled with the thermal cloud and the anomalous density, we study the equilibrium and the dynamical properties of three-dimensional quantum-degenerate Bose…

量子气体 · 物理学 2017-10-12 Abdelaali Boudjemaa , Nadia Guebli

This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using…

凝聚态物理 · 物理学 2009-11-07 J. J. Hope

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 examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

统计力学 · 物理学 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

In this work the Klein-Gordon (KG) equation for a complex scalar field with U(1) symmetry endowed in a mexican-hat scalar field potential with thermal and electromagnetic contributions is written as a Gross-Pitaevskii (GP)-like equation.…

量子气体 · 物理学 2017-08-10 Tonatiuh Matos , Elías Castellanos , Abril Suárez

We consider a system of $N$ bosons interacting in a three-dimensional box endowed with periodic boundary condition that is strongly confined in one direction such that the normalized thickness of the box $d\ll1$. We assume particles to…

数学物理 · 物理学 2025-07-01 Xuwen Chen , Jiahao Wu , Zhifei Zhang

Non-thermal fixed points in the evolution of a quantum many-body system quenched far out of equilibrium manifest themselves in a scaling evolution of correlations in space and time. We develop a low-energy effective theory of non-thermal…

量子气体 · 物理学 2019-09-17 Aleksandr N. Mikheev , Christian-Marcel Schmied , Thomas Gasenzer