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We study bosons on the real line in a Poisson random potential (Luttinger--Sy model) with contact interaction in the thermodynamic limit at absolute zero temperature. We prove that generalized Bose--Einstein condensation (BEC) occurs almost…

数学物理 · 物理学 2019-02-13 Joachim Kerner , Maximilian Pechmann , Wolfgang Spitzer

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive…

统计力学 · 物理学 2009-10-30 Peter Grüter , David Ceperley , Franck Laloë

We reconcile a long-standing controversy regarding the transition temperature of the Bose-Einstein condensation in a dilute interacting Bose gas, by showing that there is a crossover between ideal gas and interacting gas. The former…

统计力学 · 物理学 2007-08-17 Kersion Huang

We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus…

数学物理 · 物理学 2022-11-01 Joachim Kerner , Maximilian Pechmann

We consider a system of N trapped bosons with repulsive interactions in a combined semiclassical mean-field limit at positive temperature. We show that the free energy is well approximated by the minimum of the Hartree free energy…

数学物理 · 物理学 2021-06-24 Andreas Deuchert , Robert Seiringer

This paper employs a Bose-Einstein condensates to simulate the dynamical response of bound electrons in a strongly oscillating pulsed laser field. We investigate the excitation dynamics of Bose-Einstein condensates with repulsive…

量子气体 · 物理学 2026-02-09 Ziheng Ma , Jia Li , Rui Jin , Yajiang Hao

The leading-order effect of interactions on a homogeneous Bose gas is theoretically predicted to shift the critical temperature by an amount \Delta\Tc = # a_{scatt} n^{1/3} T_0 from the ideal gas result T_0, where a_{scatt} is the…

凝聚态物理 · 物理学 2009-11-07 Peter Arnold , Guy D. Moore

We discuss the transition from a fully decoherent to a (quasi-)condensate regime in a harmonically trapped weakly interacting 1D Bose gas. By using analytic approaches and verifying them against exact numerical solutions, we find a…

原子物理 · 物理学 2013-05-29 Isabelle Bouchoule , Karen V. Kheruntsyan , Gora Shlyapnikov

We consider an interacting, dilute Bose gas trapped in a harmonic potential at a positive temperature. The system is analyzed in a combination of a thermodynamic and a Gross-Pitaevskii (GP) limit where the trap frequency $\omega$, the…

数学物理 · 物理学 2019-08-27 Andreas Deuchert , Robert Seiringer , Jakob Yngvason

The effective action formalism of quantum field theory is used to study the properties of the non-relativistic interacting Bose gas. The Gaussian approximation is formulated by calculating the effective action to the first order of the…

软凝聚态物质 · 物理学 2007-05-23 Anna Okopińska

We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

数学物理 · 物理学 2025-12-12 Daniele Ferretti , Kalle Koskinen

Atomic interactions play an important role in the properties of ultracold atomic gases. In single component bosonic systems, its effect is already present at the critical point for the Bose-Einstein condensate phase transition by shifting…

量子气体 · 物理学 2026-02-16 Pedro M. Gaspar , Vanderlei S. Bagnato , Patricia C. M. Castilho

With a high-performance Monte Carlo algorithm we study the interaction-induced shift of the critical point in weakly interacting three-dimensional $|\psi|^4$-theory (which includes quantum Bose gas). In terms of critical density, $n_c$,…

凝聚态物理 · 物理学 2007-05-23 Nikolay Prokof'ev , Boris Svistunov , V. A. Kashurnikov

We study the effects of repulsive interaction and disorder on Bosons in a two-site Bose-Hubbard system, which provides a simple model of the dirty boson problem. By comparison with exact numerical results, we demonstrate how a…

量子气体 · 物理学 2013-12-19 Christopher Gaul , Jürgen Schiefele

We compute the critical temperature of Bose-Einstein condensation in dilute three-dimensional homogeneous Bose gases. Our method involves the models of spatial permutations and it should be exact to lowest order in the scattering length of…

统计力学 · 物理学 2010-02-18 Volker Betz , Daniel Ueltschi

Using a finite-temperature Path Integral Monte Carlo simulation (PIMC) method and finite-size scaling, we have investigated the interaction-induced shift of the phase transition temperature for Bose-Einstein condensation of homogeneous…

统计力学 · 物理学 2009-11-10 Kwangsik Nho , D. P. Landau

Bose-Einstein-condensed gases in external spatially random potentials are considered in the frame of a stochastic self-consistent mean-field approach. This method permits the treatment of the system properties for the whole range of the…

无序系统与神经网络 · 物理学 2007-12-04 V. I. Yukalov , E. P. Yukalova , K. V. Krutitsky , R. Graham

The well-known results concerning a dilute Bose gas with the short-range repulsive interaction should be reconsidered due to a thermodynamic inconsistency of the method being basic to much of the present understanding of this subject. The…

统计力学 · 物理学 2007-05-23 A. Yu. Cherny , A. A. Shanenko

We consider a Bose gas with two-body Kac-like scaled interactions V $\gamma$ (r) = $\gamma$ 3 v($\gamma$r) where v(x) is a given repulsive and integrable potential, while $\gamma$ is a positive parameter which controls the range of the…

统计力学 · 物理学 2019-12-17 A. Alastuey , J Piasecki , P. Szymczak

We provide an overview of the effects of interactions in Bose-condensed gases. We focus on phenomena that have been explored in ultracold atom experiments, covering both tuneable contact interactions and dipolar interactions. Our discussion…

量子气体 · 物理学 2022-12-16 Christoph Eigen , Robert P. Smith