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We prove two equilibrium properties of a system of interacting atoms in three or higher dimensional continuous space. (i) If the particles interact via pair potentials of a nonnegative Fourier transform, their self-organization into…

数学物理 · 物理学 2023-05-31 Andras Suto

We study a Bose-Einstein condensate (BEC) at low energy limit and show that their collective dynamics exhibit interesting topological behavior. The system undergoes dynamical topological phase transition at its global periods if its…

量子物理 · 物理学 2019-12-04 Mehdi Abdi

We revisit the structure of the phase diagram of the two-component mean-field Bose mixture at finite temperatures, considering both the cases of attractive and repulsive interspecies interactions. In particular, we analyze the evolution of…

统计力学 · 物理学 2026-03-18 Oskar Stachowiak , Pawel Jakubczyk

We study the ground state phase diagram and the quantum phase transitions in spin-1 Bose gases with Raman induced spin-orbit coupling. In addition to the Bose-Einstein condensates with uniform density, three types of stripe condensation…

量子气体 · 物理学 2016-04-20 Zeng-Qiang Yu

We briefly review the theory of Bose-Einstein condensation in the two-dimensional trapped Bose gas and, in particular the relationship to the theory of the homogeneous two-dimensional gas and the Berezinskii-Kosterlitz-Thouless phase. We…

统计力学 · 物理学 2009-11-11 D. A. W. Hutchinson , P. B. Blakie

We present a detailed description of a classification scheme for phase transitions in finite systems based on the distribution of Fisher zeros of the canonical partition function in the complex temperature plane. We apply this scheme to…

统计力学 · 物理学 2009-10-31 Oliver Muelken , Peter Borrmann , Jens Harting , Heinrich Stamerjohanns

A spin-orbit-coupled Bose-Einstein-condensed cloud of atoms confined in an annular trapping potential shows a variety of phases that we investigate in the present study. Starting with the non-interacting problem, the homogeneous phase that…

量子气体 · 物理学 2016-02-17 E. Ö. Karabulut , F. Malet , A. L. Fetter , G. M. Kavoulakis , S. M. Reimann

The interplay between spontaneously broken gauge symmetries and Bose-Einstein condensation has long been controversially discussed in science, since the equation of motions are invariant under phase transformations. Within the present model…

量子气体 · 物理学 2022-05-10 Alexej Schelle

There is a wide-spread belief in the literature on Bose-Einstein condensation of interacting atoms that all variants of mean-field theory incorrectly describe the condensation phase transition, exhibiting, instead of the necessary…

量子气体 · 物理学 2015-06-19 V. I. Yukalov , E. P. Yukalova

Using magnetically trapped atomic hydrogen as an example, we investigate the prospects of achieving Bose-Einstein condensation in a dilute Bose gas. We show that, if the gas is quenched sufficiently far into the critical region of the phase…

凝聚态物理 · 物理学 2007-05-23 H. T. C. Stoof

We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

量子气体 · 物理学 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

量子物理 · 物理学 2012-12-27 Alexej Schelle

We review the properties of chaoticity and coherence in Bose-Einstein condensation and correlations, for a dense boson system in its mean-field represented approximately by a harmonic oscillator potential. The order parameter and the nature…

高能物理 - 唯象学 · 物理学 2015-01-27 Cheuk-Yin Wong , Wei-Ning Zhang , Jie Liu , Peng Ru

We study the phase transition between pion condensed phase and normal phase, as well as chiral phase transition in a two flavor($\mathcal{N}_f=2$) IR- improved soft-wall AdS/QCD model at finite isospin chemical potential $\mu_I$ and…

高能物理 - 唯象学 · 物理学 2020-08-26 Xuanmin Cao , Hui Liu , Danning Li , Guanning Ou

Bose-Einstein condensation in the presence of a synthetic spin-momentum interaction is considered, focusing on the case where a Dirac or Rashba potential is generated via a tripod scheme. We found that the ground states can be either plane…

量子气体 · 物理学 2015-05-19 S. -K. Yip

We introduce a two-dimensional walk model in which a random walker can only move on the first quarter of a two-dimensional plane. We calculate the partition function of this walk model using a transfer matrix method and show that the model…

统计力学 · 物理学 2015-05-27 Farhad H. Jafarpour

We study a Bose-Einstein condensate at the low energy limit and show that their collective dynamics exhibit interesting quantum dynamical behavior. The system undergoes a dynamical quantum phase transition after a sudden quench into a…

量子物理 · 物理学 2019-11-26 Mehdi Abdi

We examine an effectively repulsive Bose-Einstein condensate of atoms that rotates in a quadratic-plus-quartic potential. With use of a variational method we identify the three possible phases of the system (multiple quantization, single…

凝聚态物理 · 物理学 2009-11-10 A. D. Jackson , G. M. Kavoulakis , E. Lundh

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

软凝聚态物质 · 物理学 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

The Dicke model and the superradiance of two-level systems in a radiation field have many applications. Recently, a Dicke quantum phase transition has been realized with a Bose-Einstein condensate in a cavity. We numerically solve the…

量子气体 · 物理学 2017-01-11 Axel U. J. Lode , Christoph Bruder