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We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly…

数学物理 · 物理学 2019-02-07 Joachim Kerner , Maximilian Pechmann , Wolfgang Spitzer

The dynamics of a generic class of scalar active matter exhibiting a diffusivity edge is studied in a confining potential where the amplitude is governed by a time-dependent protocol. For such non-equilibrium systems, the diffusion…

统计力学 · 物理学 2024-04-18 Jonas Berx

We review and extend the theory of the dynamics of Bose-Einstein condensation in weakly interacting atomic gases. We present in a unified way both the semiclassical theory as well as the full quantum theory. This is achieved by deriving a…

统计力学 · 物理学 2007-05-23 H. T. C. Stoof

We calculate explicitly the variation $\delta T_c$ of the Bose-Einstein condensation temperature $T_c$ induced by weak repulsive two-body interactions to leading order in the interaction strength. As shown earlier by general arguments,…

统计力学 · 物理学 2009-10-31 Gordon Baym , Jean-Paul Blaizot , Jean Zinn-Justin

We study the thermodynamic behavior of attractive binary Bose mixtures using exact path-integral Monte-Carlo methods. Our focus is on the regime of interspecies interactions where the ground state is in a self-bound liquid phase, stabilized…

量子气体 · 物理学 2023-10-31 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

Bose-Einstein condensation and the $\lambda$-transition are described in molecular detail for bosons interacting with a pair potential. New phenomena are identified that are absent in the usual ideal gas treatment. Monte Carlo simulations…

统计力学 · 物理学 2022-01-20 Phil Attard

In this paper, we study the evolution of a dense system of gluons, such as those produced in the early stages of ultra-relativistic heavy ion collisions. We describe the approach to thermal equilibrium using the small angle approximation…

高能物理 - 唯象学 · 物理学 2013-11-11 Jean-Paul Blaizot , Jinfeng Liao , Larry McLerran

The Bose-Einstein condensation and the liquid-gas first order phase transition are studied in the interacting pion matter. Two phenomenological models are used: the mean-field model and the hybrid model. Free model parameters are fixed by…

高能物理 - 唯象学 · 物理学 2021-11-30 V. A. Kuznietsov , O. S. Stashko , O. V. Savchuk , M. I. Gorenstein

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

数学物理 · 物理学 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

We provide an approximate analytical expression of the mass-radius relation of a Newtonian self-gravitating Bose-Einstein condensate (BEC) with short-range interactions described by the Gross-Pitaevskii-Poisson system. These equations model…

宇宙学与河外天体物理 · 物理学 2015-03-19 Pierre-Henri Chavanis

We present a detailed numerical study of the effect of a disordered potential on a confined one-dimensional Bose-Einstein condensate, in the framework of a mean-field description. For repulsive interactions, we consider the Thomas-Fermi and…

其他凝聚态物理 · 物理学 2009-11-11 Eric Akkermans , Sankalpa Ghosh , Ziad Musslimani

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

统计力学 · 物理学 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

We study the collision dynamics of two Bose-Einstein condensates with their dynamical wave functions modeled by a set of coupled, time-dependent Gross-Pitaevskii equations. Beginning with an effective one-dimensional system, we identify…

量子气体 · 物理学 2022-03-22 Aaron Wirthwein , Stephan Haas , Sheng-wey Chiow

We calculate the ultra-relativistic Bose-Einstein condensation temperature of a complex scalar field with weak lambda Phi^4 interaction. We show that at high temperature and finite density we can use dimensional reduction to produce an…

高能物理 - 唯象学 · 物理学 2009-10-31 D. J. Bedingham , T. S. Evans

In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle…

数学物理 · 物理学 2018-01-04 Jens Bolte , Joachim Kerner

We describe Bose-Einstein condensation of strongly interacting particles into a quantum state which is an excited single-particle state, but becomes the ground state as density increases because it minimizes the interaction energy compared…

量子气体 · 物理学 2013-11-05 Raina J. Olsen

The behavior of a Bose-Einstein ideal gas of particles in a three dimensional space in the presence of a uniform field, such as gravity, and of contact interaction, describing the presence of one impurity, is investigated. It is shown that…

统计力学 · 物理学 2007-05-23 Roberto Soldati , Alberto Zannoni

The coherence properties of degenerate Bose gases have usually been expressed in terms of spatial correlation functions, neglecting the rich information encoded in their temporal behavior. In this paper we show, using a Hamiltonian…

量子气体 · 物理学 2010-07-20 T. M. Wright , P. B. Blakie , R. J. Ballagh

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

统计力学 · 物理学 2009-11-11 V. I. Yukalov , R. Graham

Systems of Bose particles with both repulsive and attractive interactions are studied using the Skyrme-like mean-field model. The phase diagram of such systems exhibits two special lines in the chemical potential-temperature plane: one line…