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By incorporating the zero-point energy contribution we derive simple and accurate extensions of the usual Thomas-Fermi (TF) expressions for the ground-state properties of trapped Bose-Einstein condensates that remain valid for an arbitrary…

其他凝聚态物理 · 物理学 2016-08-14 A. Muñoz Mateo , V. Delgado

An attractive Bose-Einstein condensate in two spatial dimensions is expected to collapse for supercritical values of the interaction strength. Moreover, it is known that for nonzero quanta of angular momentum and infinitesimal attraction…

量子气体 · 物理学 2014-04-11 Marios C. Tsatsos

Bose-Einstein condensation (BEC) of an ideal gas is investigated, beyond the thermodynamic limit, for a finite number $N$ of particles trapped in a generic three-dimensional power-law potential. We derive an analytical expression for the…

量子气体 · 物理学 2019-04-04 Amine Jaouadi , Mourad Telmini , Eric Charron

One-particle reduced density matrix functional theory would potentially be the ideal approach for describing Bose-Einstein condensates. It namely replaces the macroscopically complex wavefunction by the simple one-particle reduced density…

量子气体 · 物理学 2021-04-13 Julia Liebert , Christian Schilling

We calculate and discuss the effects on the thermodynamic properties of a 3D Bose gas caused by a gap $\Delta$ in the energy of the particles constituting the gas that without the gap behaves like an ideal Bose gas. Explicit formulae with…

量子气体 · 物理学 2016-05-17 M. A. Solís

The temperature dependence of a mobile impurity in a dilute Bose gas, the Bose polaron, is investigated for wide a range of impurity-bath interactions. Using a diagrammatic resummation scheme designed to include scattering processes…

量子气体 · 物理学 2018-02-08 Nils-Eric Guenther , Pietro Massignan , Maciej Lewenstein , Georg M. Bruun

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

统计力学 · 物理学 2015-06-25 Juan Pablo Fernández , William J. Mullin

Motivated by the recent experiment [R. Lopes et. al., Phys. Rev. Lett. 119, 190404 (2017)] with a homogeneous Bose gas, we investigate a homogeneous dilute Bose gas to calculate the quantum depletion density. By means of the…

量子气体 · 物理学 2022-06-22 Nguyen Van Thu , Jonas Berx

We discuss the phenomenon of Bose-Einstein condensation of an ideal non-relativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical…

统计力学 · 物理学 2009-10-31 Klaus Kirsten , David J. Toms

We use the quantum kinetic theory to calculate the steady state and the fluctuations of a trapped Bose-Einstein condensate at finite temperature. The system is divided in a condensate and a non-condensate part. A quantum mechanical…

统计力学 · 物理学 2009-10-30 D. Jaksch , C. W. Gardiner , K. M. Gheri , P. Zoller

In the framework of the theory of Dunkl-deformed bosons, Bose-Einstein condensation of two and three-dimensional Dunkl-boson gases confined in the one-dimensional gravitational field is investigated. Using the semi-classical approximation…

量子气体 · 物理学 2023-06-14 B. Hamil , B. C. Lütfüoğlu

We present a novel quantum stochastic evolution equation for a matter field describing the canonical state of a weakly interacting ultracold Bose gas. In the ideal gas limit our approach is exact. This numerically very stable equation…

量子气体 · 物理学 2011-01-14 Sigmund Heller , Walter T. Strunz

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

软凝聚态物质 · 物理学 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

We study a superfluid Bose system with single-particle and pair condensates on the basis of a half-phenomenological theory of a Bose liquid not involving the weakness of interparticle interaction. The coupled equations describing the…

统计力学 · 物理学 2013-03-25 A. S. Peletminskii , S. V. Peletminskii , Yu. M. Poluektov

The theory of quartet condensation is further developed. The onset of quartetting in homgeneous fermionic matter is studied with the help of an in-medium modified four fermion equation. It is found that at very low density quartetting wins…

核理论 · 物理学 2015-06-18 P. Schuck , Y. Funaki , H. Horiuchi , G. Roepke , A. Tohsaki , T. Yamada

It is proved that alpha-particle states are well described by the Elliott SU(3) model. This result is used to analyze the alpha-particle condensation effect. It is shown that these states possess the basic attributes of the alpha-condensate…

核理论 · 物理学 2007-05-23 I. A. Gnilozub , S. D. Kurgalin , Yu. M. Tchuvil'sky

We present an analytically solvable theory of Bose-Einstein condensation in thin film geometries. Analytical closed-form expressions for the critical temperature are obtained in both the low-to-moderate confinement regime (where the film…

量子气体 · 物理学 2022-03-31 Riccardo Travaglino , Alessio Zaccone

A linear response framework is set up for the evaluation of collective excitations in a confined vapour of interacting Bose atoms at finite temperature. Focusing on the currently relevant case of contact interactions between the atoms, the…

统计力学 · 物理学 2009-10-30 A. Minguzzi , M. P. Tosi

In a recent experiment, a Bose-Einstein condensate was trapped in an anharmonic potential which is well approximated by a harmonic and a quartic part. The condensate was set into such a fast rotation that the centrifugal force in the…

统计力学 · 物理学 2009-11-11 Sebastian Kling , Axel Pelster

We consider a gas of bosons interacting through a hard-sphere potential with radius $\frak{a}$ in the thermodynamic limit. We derive a simple upper bound for the ground state energy per particle at low density. Our bound captures the…