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We develop a systematic perturbation theory for the quasiparticle properties of a single impurity immersed in a Bose-Einstein condensate. Analytical results are derived for the impurity energy, the effective mass, and residue to third order…

Quantum Gases · Physics 2015-10-20 Rasmus Søgaard Christensen , Jesper Levinsen , Georg M. Bruun

The ideal Bose-gas with finite number $N$ of particles is investigated. The exact expressions for the partition functions and occupation numbers in the grand canonical, canonical and microcanonical ensembles are found. The asymp\-totic…

Statistical Mechanics · Physics 2020-11-10 A. I. Bugrij , V. M. Loktev

We consider an ideal Bose gas contained in a cylinder in three spatial dimensions, subjected to a uniform gravitational field. It has been claimed by some authors that there is discrepancy between the semi-classical and quantum calculations…

Statistical Mechanics · Physics 2016-06-29 Rajat K. Bhaduri , Wytse van Dijk

Thermodynamic properties of ideal Bose gas trapped in an external generic power law potential are investigated systematically from the grand thermodynamic potential in $d$ dimensional space. The most general conditions for Bose-Einstein…

Quantum Gases · Physics 2016-04-18 Mir Mehedi Faruk

We compute the critical temperature T_c of a weakly interacting uniform Bose gas in the canonical ensemble, extending the criterion of condensation provided by the counting statistics for the uniform ideal gas. Using ordinary perturbation…

Statistical Mechanics · Physics 2009-10-31 Martin Wilkens , Fabrizio Illuminati , Meret Kraemer

We consider a realistic bosonic N-particle model with unitary interactions relevant for Efimov physics. Using quantum Monte Carlo methods, we find that the critical temperature for Bose-Einstein condensation is decreased with respect to the…

Quantum Gases · Physics 2016-11-23 Tommaso Comparin , Werner Krauth

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…

Statistical Mechanics · Physics 2008-07-18 Shyamal Biswas

The pole of the two-particle T-matrix including the influence of the surrounding medium is analyzed for an interacting Bose gas. The phase diagram of the Bose -Einstein condensation (BEC) depending on the temperature, density, scattering…

Other Condensed Matter · Physics 2016-09-08 K. Morawetz M. Männel , M. Schreiber , P. Lipavský

We report the effects on the thermodynamic properties of a 3D Bose gas caused by a temperature dependent energy gap between the ground state and the first excited state of the energy spectrum of the particles constituting the Bose gas which…

Superconductivity · Physics 2026-01-13 Juan José Valencia Acevedo , Miguel Ángel Solís Atala

In a recent paper [Int. J. Mod. Phys. B {\bf 14}, 405 (2000)] we discussed the Bose-Einstein condensation (BEC) in the framework of Tsallis's nonextensive statistical mechanics. In particular, we studied an ideal gas of bosons in a…

Statistical Mechanics · Physics 2009-11-07 Luca Salasnich

For real inverse temperature beta, the canonical partition function is always positive, being a sum of positive terms. There are zeros, however, on the complex beta plane that are called Fisher zeros. In the thermodynamic limit, the Fisher…

Quantum Gases · Physics 2015-10-28 Wytse van Dijk , Calvin Lobo , Alison MacDonald , Rajat K. Bhaduri

Within framework of quantum field theory, in improved Hatree-Fock (IHF) approximation, we have considered a dilute single Bose-Einstein condensate (BEC) confined between two parallel plates. We found that the effective mass and order…

Quantum Gases · Physics 2026-05-12 Nguyen Van Thu , Pham The Song

In this paper we calculate kinetic, potential and full energy with three- and four-particle direct correlations taken into account at wide temperature region on the base of the density matrix of the interacting Bose-particles [I. O.…

Quantum Gases · Physics 2015-06-15 Ivan Vakarchuk , Orest Hryhorchak

We investigate the behavior of a finite-momentum impurity immersed in a weakly interacting three-dimensional Bose-Einstein condensate (BEC) of ultra-cold atoms, giving a detailed account of the dynamical quantum Cherenkov transition…

Quantum Gases · Physics 2024-12-09 Kushal Seetharam , Yulia Shchadilova , Fabian Grusdt , Mikhail Zvonarev , Eugene Demler

Using semiclassical approximation method, Bose-Einstein condensation (BEC) of a relativistic ideal boson gas (RIBG) with and without antibosons in three-dimensional (3-D) harmonic traps is investigated. The BEC transition temperature T_{c}…

Statistical Mechanics · Physics 2011-11-03 Xiang-Mu Kong , Ying Wang , Cong-Fei Du

We investigate the properties of an impurity immersed in a dilute Bose gas at zero temperature using quantum Monte-Carlo methods. The interactions between bosons are modeled by a hard sphere potential with scattering length $a$, whereas the…

Quantum Gases · Physics 2016-08-08 L. A. Peña Ardila , S. Giorgini

Temperature of the Bose -- Einstein condensation and the temperature behavior of the chemical potential and other thermodynamical functions of the ideal Bose gas are found for the arbitrary power-like spherical-symmetric potential at an…

Statistical Mechanics · Physics 2013-01-09 A. A. Kozhevnikov

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…

Superconductivity · Physics 2009-12-09 C. Villarreal , M. de Llano

The Bose gas in an external potential is studied by means of the local density approximation. An analytical result is derived for the dependence of the critical temperature of Bose-Einstein condensation on the mutual interaction in a…

Condensed Matter · Physics 2009-10-28 Hualin Shi , Wei-Mou Zheng

By unitary Bose gas we mean a system composed of spinless bosons with s-wave interaction of infinite scattering length and almost negligible (real or effective) range. Experiments are currently trying to realize it with cold atoms. From the…

Quantum Gases · Physics 2013-06-07 Yvan Castin , Félix Werner
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