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Using a finite-temperature Path Integral Monte Carlo simulation (PIMC) method and finite-size scaling, we have investigated the interaction-induced shift of the phase transition temperature for Bose-Einstein condensation of homogeneous…

统计力学 · 物理学 2009-11-10 Kwangsik Nho , D. P. Landau

Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the…

量子气体 · 物理学 2013-04-23 Hanlei Zheng , Yajiang Hao , Qiang Gu

Bose-Einstein condensation has been realized in dilute atomic vapors. This achievement has generated immerse interest in this field. Presented is a review of recent theoretical research into the properties of trapped dilute-gas…

软凝聚态物质 · 物理学 2009-10-31 Takeya Tsurumi , Hirofumi Morise , Miki Wadati

In Jaouadi et al. [Phys. Rev. A 83, 023616 (2011)] the authors derive an analytical finite-size expansion for the Bose-Einstein condensation critical temperature of an ideal Bose gas in a generic power-law trap. In the case of a harmonic…

量子气体 · 物理学 2015-07-02 José M. B. Noronha

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

A generalization of the semiclassical approximation is suggested allowing for an essential extension of its region of applicability. In particular, it becomes possible to describe Bose-Einstein condensation of a trapped gas in…

统计力学 · 物理学 2009-11-11 V. I. Yukalov

Bose-Einstein condensation in a Bose gas is studied analytically, in any positive dimensionality ($d>0$) for identical bosons with any energy-momentum positive-exponent ($s>0$) plus an energy gap $\Delta$ between the ground state energy…

量子气体 · 物理学 2018-12-21 J. G. Martínez-Herrera , J. García-Nila , M. A. Solís

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

凝聚态物理 · 物理学 2022-03-23 Yvan Castin

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

We treat the problem of self-consistently interacting bosons in the presence of a finite (but macroscopic) potential well within a quasi-classical approximation for the normal component and the order parameter. We solve the equilibrium…

凝聚态物理 · 物理学 2022-11-04 L. Banyai , A. M. Bundaru , H. Haug

We introduce a family of correlated trial wave functions for the $N$-particle ground state of an interacting Bose gas in a harmonic trap. For large $N$, the correlations lead to a relative energy decrease of a fraction $3/5N$, compared to…

凝聚态物理 · 物理学 2007-05-23 Walter T. Strunz

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double well potential at $T=0$ temperature, by combining numerical results with analytical approximations. We find that the…

量子气体 · 物理学 2022-04-18 Izabella Lovas , József Fortágh , Eugene Demler , Gergely Zaránd

We study an ultracold Bose gas in an optical dipole trap consisting of one single focused laser beam. An analytical expression for the corresponding density of states beyond the usual harmonic approximation is obtained. We are thus able to…

量子气体 · 物理学 2013-05-29 Lena Simon , Walter T. Strunz

We present an analysis of Bose-Einstein condensation for a system of non-interacting spin-0 particles in a harmonic oscillator confining potential trap. We discuss why a confined system of particles differs both qualitatively and…

凝聚态物理 · 物理学 2007-05-23 Klaus Kirsten , David J. Toms

The shift in condensation temperature caused by interactions is studied up to second order in the s-wave scattering length in a Bose-Einstein condensate trapped in a temperature-dependent three-dimensional generic potential. With no…

量子气体 · 物理学 2020-07-06 E. Castellanos , F. Briscese , M. Grether , M. de Llano

We discuss BEC in (quasi)2D trapped gases and find that well below the transition temperature $T_c$ the equilibrium state is a true condensate, whereas at intermediate temperatures $T<T_c$ one has a quasicondensate (condensate with…

统计力学 · 物理学 2009-10-31 D. S. Petrov , M. Holzmann , G. V. Shlyapnikov

We study the thermodynamics of the Bose-condensed atomic hydrogen confined in the Ioffe-Pritchard potential. Such a trapping potential, that models the magnetic trap used in recent experiments with hydrogen, is anharmonic and strongly…

统计力学 · 物理学 2016-08-31 B. Pozzi , L. Salasnich , A. Parola , L. Reatto

We present a detailed study of the temperature dependence of the condensate and noncondensate density profiles of a Bose-condensed gas in a parabolic trap. These quantitites are calculated self-consistently using the Hartree-Fock-Bogoliubov…

凝聚态物理 · 物理学 2009-10-28 D. A. W. Hutchinson , E. Zaremba , A. Griffin

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

The recent Bose-Einstein condensation of ultracold atoms with attractive interactions led us to consider the novel possibility to probe the stability of its ground state in arbitrary three-dimensional harmonic traps. We performed a…

软凝聚态物质 · 物理学 2009-11-07 A. Gammal , L. Tomio , T. Frederico