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The density of bosonic states are calculated for spinless free massive bosons in generalised d dimensions. The number of bosons are calculated in the lowest energy state. The Bose Einstein condensation was found in generalised dimensions…

统计力学 · 物理学 2013-04-02 Ajanta Bhowal , Muktish Acharyya

Thermodynamical properties of an interacting system of scalar bosons at finite temperatures are studied within the framework of a field-theoretical model containing the attractive and repulsive self-interaction terms. Self-consistency…

核理论 · 物理学 2019-08-28 I. N. Mishustin , D. V. Anchishkin , L. M. Satarov , O. S. Stashko , H. Stoecker

We consider a homogeneous non-ideal Bose gas at nonzero temperature in equilibrium below the critical temperature $T_C$ in the framework of finite temperature field theory. An algorithm is described in which a manageable subset of diagrams…

其他凝聚态物理 · 物理学 2015-03-13 E. Kovalchuk , R. Kobes

A simple pedagogical introduction to the effective action method of quantum field theory is given at a level suitable for beginning postgraduate students. It is shown how to obtain the effective potential at zero temperature from a…

统计力学 · 物理学 2008-02-03 David J. Toms

A system with Bose-Einstein condensate is considered in the frame of the self-consistent mean-field approximation, which is conserving, gapless, and applicable for arbitrary interaction strengths and temperatures. The main attention is paid…

统计力学 · 物理学 2009-11-13 V. I. Yukalov , E. P. Yukalova

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

凝聚态物理 · 物理学 2009-10-30 Tomoya Isoshima , Kazushige Machida

A Bose gas in an external potential is studied by means of the local density approximation. Analytical results are derived for the thermodynamic properties of an ideal Bose gas in a generic power-law trapping potential, and their dependence…

统计力学 · 物理学 2008-02-03 Hualin Shi , Wei-Mou Zheng

We consider a boson gas on the stretched horizon of the Schwartzschild and Kerr black holes. It is shown that the gas is in a Bose-Einstein condensed state with the Hawking temperature $T_c=T_H$ if the particle number of the system be equal…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Somayeh Zare , Zahra Raissi , Hosein Mohammadzadeh , Behrouz Mirza

In the Bose-Einstein condensation of interacting atoms or molecules such as 87Rb, 23Na and 7Li, the theoretical understanding of the transition temperature is not always obvious due to the interactions or zero point energy which cannot be…

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

We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and…

凝聚态物理 · 物理学 2007-05-23 M. A. Cirone , K. Goral , K. Rzazewski , M. Wilkens

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

A detailed calculation of the real part of the finite temperature dynamic susceptibility of the free Bose gas is presented. After a short discussion on the different ways in which it can be calculated for temperatures above and below the…

统计力学 · 物理学 2009-11-07 F. Mazzanti , A. Polls

We review some recent results on interacting Bose gases in thermal equilibrium. In particular, we study the convergence of the grand-canonical equilibrium states of such gases to their mean-field limits, which are given by the Gibbs…

数学物理 · 物理学 2020-05-20 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

凝聚态物理 · 物理学 2007-05-23 M. Bijlsma , H. T. C. Stoof

We present precise path-integral Monte-Carlo results for the thermodynamics of a homogeneous dilute Bose gas. Pressure and energy are calculated as a function of temperature both below and above the Bose-Einstein transition. Specifically,…

量子气体 · 物理学 2023-10-23 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

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

This article reviews recent investigations on the phenomenon of Bose-Einstein condensation of dilute gases. Since the experimental observation of quantum degeneracy in atomic gases, the research activity in the field of coherent…

软凝聚态物质 · 物理学 2007-05-23 Ph. W. Courteille , V. S. Bagnato , V. I. Yukalov

The superfluid fraction of ideal and interacting inhomogeneous Bose gases with varying asymmetry is investigated at finite temperature using well-known properties of the harmonic oscillator as well as the essentially exact microscopic path…

其他凝聚态物理 · 物理学 2007-05-23 K. Nho , D. Blume

Damping in a dilute Bose gas is investigated using a mean-field approximation which describes the coupled oscillations of condensate and non-condensate atoms in the collisionless regime. Explicit results for both Landau and Beliaev damping…

凝聚态物理 · 物理学 2009-10-30 S. Giorgini