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We present a systematic description of the structure of Bose-Einstein condensation (BEC) in the free Bose gas from the viewpoint of the correspondence between the operator-algebraic formulation based on the resolvent algebra and the…

数学物理 · 物理学 2026-04-09 Yoshitsugu Sekine

We develop theory for a flattened dipolar Bose-Einstein condensate (BEC) produced by harmonic confinement along one direction. The role of both short-ranged contact interactions and long-ranged dipole-dipole interactions (DDIs) is…

量子气体 · 物理学 2015-03-17 D. Baillie , P. B. Blakie

We find universal structure and scaling of BEC statistics and thermodynamics for mesoscopic canonical-ensemble ideal gas in a trap for any parameters, including critical region. We identify universal constraint-cut-off mechanism that makes…

统计力学 · 物理学 2015-11-06 Vitaly V. Kocharovsky , Vladimir V. Kocharovsky

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

Ensembles of particles governed by quantum mechanical laws exhibit fascinating emergent behavior. Atomic quantum gases, liquid helium, and electrons in quantum materials all show distinct properties due to their composition and…

We show various aspects of finite size effects on Bose-Einstein condensation(BEC). In the first section we introduce very briefly the BEC of harmonically trapped ideal Bose gas. In the second section we theoretically argued that…

统计力学 · 物理学 2008-07-18 Shyamal Biswas

The atom-cavity system is a versatile platform for emulating light-matter systems and realizing dissipation-induced phases, such as limit cycles (LCs) and time crystals. Here, we study the dynamics of a Bose-Einstein condensate (BEC) inside…

量子气体 · 物理学 2025-11-18 Christopher Gerard R. Sevilla , Jayson G. Cosme

A gaseous Bose-Einstein condensate (BEC) offers an ideal testing ground for studying symmetry breaking, because a trapped BEC system is in a mesoscopic regime, and situations exist under which symmetry breaking may or may not occur.…

其他凝聚态物理 · 物理学 2009-11-11 Masahito Ueda , Yuki Kawaguchi , Hiroki Saito , Rina Kanamoto , Tatsuya Nakajima

The partition function and specific heat of a system consisting of a finite number of bosons confined in an external potential are calculated in canonical ensemble. Using the grand partition function as the generating function of the…

凝聚态物理 · 物理学 2009-10-30 Wenji Deng , P. M. Hui

In this paper, we propose a regularized Newton method for computing ground states of Bose-Einstein condensates (BECs), which can be formulated as an energy minimization problem with a spherical constraint. The energy functional and…

数值分析 · 数学 2017-11-21 Xinming Wu , Zaiwen Wen , Weizhu Bao

In this article we have investigated the possibility of Bose-Einstein Condensation (BEC) in a frame undergoing uniform acceleration or in other wards, in Rindler space associated with the uniformly accelerated frame. We have followed a very…

广义相对论与量子宇宙学 · 物理学 2017-11-13 Sanchita Das , Somenath Chakraborty

It is well known that using the conventional non-Hermitian but ${\cal PT}-$symmetric Bose-Hubbard Hamiltonian with real spectrum one can realize the Bose-Einstein condensation (BEC) process in an exceptional-point limit of order $N$. Such…

量子物理 · 物理学 2021-09-09 Miloslav Znojil

We study Bose-Einstein Condensation (BEC) in the Infinite-Range Hopping Bose-Hubbard model for repulsive on-site particle interaction in presence of ergodic random one-site potentials with different distributions. We show that the model is…

数学物理 · 物理学 2009-11-11 T. C. Dorlas , L. A. Pastur , V. A. Zagrebnov

We study the mean-field dynamics and the reduced-dimension character of two-mode Bose-Einstein condensates (BECs) in highly anisotropic traps. By means of perturbative techniques, we show that the tightly confined (transverse) degrees of…

量子气体 · 物理学 2013-02-07 Alexandre B. Tacla , Carlton M. Caves

A theoretical model is developed for treating super conductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the…

介观与纳米尺度物理 · 物理学 2015-05-20 Y. Ben-Aryeh

We study the Bose-Einstein condensation (BEC) for a relativistic ideal gas of bosons. In the framework of canonical thermal field theory, we analyze the role of particles and anti-particles in the determination of BEC transition…

数学物理 · 物理学 2010-11-11 Luca Salasnich

We calculate the number and energy densities of a quasi-2D Bose-Einstein gas constrained within a thin region of infinite extent but of finite width d. The BEC critical transition temperature then becomes an explicit function of d. We use…

超导电性 · 物理学 2009-12-09 C. Villarreal , M. de Llano

Motivated by the recent achievement of space-based Bose-Einstein condensates (BEC) with ultracold alkali-metal atoms under microgravity and by the proposal of bubble traps which confine atoms on a thin shell, we investigate the BEC…

量子气体 · 物理学 2019-10-22 A. Tononi , L. Salasnich

Bose-Einstein condensates in a double-well potential contain the essential ingredients to study many-body systems within a rich classical phase-space that includes an unstable point and a separatrix. Employing a selfconsistent finite…

量子物理 · 物理学 2025-02-28 D. J. Nader , E. Serrano-Ensástiga

The particle-number fluctuations originated from collective excitations are investigated for a three-dimensional, repulsively interacting Bose-Einstein condensate (BEC) confined in a harmonic trap. The contribution due to the quantum…

软凝聚态物质 · 物理学 2009-11-10 Shujuan Liu , Hongwei Xiong , Guoxiang Huang , Zhijun Xu