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We investigate the statistical distribution for ideal Bose gases with constant particle density in the 3D box of volume $V=L^{3}$. By changing linear size $L$ and imposing different boundary conditions on the system, we present a numerical…

量子气体 · 物理学 2021-04-13 Run Cheng , Qian-Yi Wang , Yong-Long Wang , Hong-Shi Zong

Fluctuations of the number of condensed atoms in a finite-size, weakly interacting Bose gas confined in a box potential are investigated for temperatures up to the critical region. The canonical partition functions are evaluated using a…

统计力学 · 物理学 2015-05-13 Z. Idziaszek , L. Zawitkowski , M. Gajda , K. Rzazewski

A theoretical description of the interacting Bose-system is proposed. It is based on the extrapolation of the results obtained for the systems with a small number of particles N=2, 3, 4, etc. to the bulk case of N=\infty. It is shown that…

统计力学 · 物理学 2024-01-04 I. O. Vakarchuk , A. A. Rovenchak

The spectra and correlation of identical particles emitted from small local-equilibrium sources are considered. The size of the system is defined by the negative part of the parabolic falling chemical potential. The analytical solution of…

高能物理 - 唯象学 · 物理学 2020-09-02 M. D. Adzhymambetov , Yu. M. Sinyukov

Most of the literature on quantum vortices predicting various states of vortex matter in three dimensions at finite temperatures in quantum fluids is based on an assumption of an extended and homogeneous system. It is well known not to be…

统计力学 · 物理学 2008-04-04 S. Kragset , E. Babaev , A. Sudbo

We study a quantum Boltzmann-Condensation system that describes the evolution of the interaction between a well formed Bose-Einstein condensate and the quasi-particles cloud. The kinetic model is valid for a dilute regime at which the…

偏微分方程分析 · 数学 2018-05-22 Ricardo Alonso , Irene M. Gamba , Minh-Binh Tran

We demonstrate that the time-dependent projected Gross-Pitaevskii equation derived earlier [Davis, et al., J. Phys. B 34, 4487 (2001)] can represent the highly occupied modes of a homogeneous, partially-condensed Bose gas. We find that this…

凝聚态物理 · 物理学 2009-11-07 M. J. Davis , S. A. Morgan , K. Burnett

The relation between the bulk correlation length and the decay length of thermodynamic Casimir forces is investigated microscopically in two three-dimensional systems undergoing Bose-Einstein condensation: the perfect Bose gas and the…

统计力学 · 物理学 2012-06-26 Marek Napiórkowski , Jarosław Piasecki

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

The Bose-Einstein condensation of a dilute gas of rubidium-87 atoms was achieved by cooling a small number of atoms in a magnetic trap. The effective potential of the trap is to lowest order harmonic and under these conditions we estimate…

凝聚态物理 · 物理学 2007-05-23 H. Haugerud , F. Ravndal

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

We examine in detail the mechanisms behind thermalization and Bose-Einstein condensation of a gas of photons in a dye-filled microcavity. We derive a microscopic quantum model, based on that of a standard laser, and show how this model can…

量子气体 · 物理学 2015-03-23 Peter Kirton , Jonathan Keeling

The critical temperature of Bose-Einstein condensation essentially depends on internal properties of the system as well as on the geometry of a trapping potential. The peculiarities of defining the phase transition temperature of…

量子气体 · 物理学 2017-05-31 V. I. Yukalov , E. P. Yukalova

Experimentally the temperature in a Bose--Einstein condensate is always deduced resorting to the comparison between the Maxwell--Boltzmann velocity distribution function and the density profile in momentum space. Though a successful method…

统计力学 · 物理学 2008-09-10 Abel Camacho , Luis F. Barragan , Alfredo Macias

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

The Bose-Einstein condensation (BEC) critical temperature in a relativistic ideal Bose gas of identical bosons, with and without the antibosons expected to be pair-produced abundantly at sufficiently hot temperatures, is exactly calculated…

超导电性 · 物理学 2008-11-26 M. Grether , M. de Llano , George A. Baker

The shift of the Bose-Einstein condensation temperature for a homogenous weakly interacting Bose gas in leading order in the scattering length `a' is computed for given particle density `n.' Variational perturbation theory is used to resum…

统计力学 · 物理学 2007-05-23 Boris Kastening

We derive exact thermodynamic identities relating the average number of condensed atoms and the root-mean-square fluctuations determined in different statistical ensembles for the weakly interacting Bose gas confined in a box. This is…

凝聚态物理 · 物理学 2009-10-31 Fabrizio Illuminati , Patrick Navez , Martin Wilkens

We study the thermodynamic behaviour of an ideal gas of bosons trapped in a three-dimensional anisotropic harmonic oscillator potential. The condensate fraction as well as the specific heat is calculated using the Euler-Maclaurin…

凝聚态物理 · 物理学 2009-10-28 T. Haugset , H. Haugerud , J. O. Andersen

We formulate a linear Schrodinger equation with the temperature-dependent potential for the one-particle density matrix and obtain the condensation temperature of the Bose-Einstein condensate from a bound-state condition for the Schrodinger…

统计力学 · 物理学 2015-06-25 Subodha Mishra , Peter Pfeifer