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We examine the possibility of Bose-Einstein condensation (BEC) in two-dimensional (2D) system of interacting particles in a trap. We use a self-consistent mean-field theory of Bose particles interacting by a contact interaction in the Popov…

Condensed Matter · Physics 2007-05-23 William J. Mullin

The properties of systems with Bose-Einstein condensate in external time-independent random potentials are investigated in the frame of a self-consistent stochastic mean-field approximation. General considerations are presented, which are…

Statistical Mechanics · Physics 2009-11-11 V. I. Yukalov , R. Graham

Open quantum systems can be systematically controlled by making changes to their environment. A well-known example is the spontaneous radiative decay of an electronically excited emitter, such as an atom or a molecule, which is…

Quantum Gases · Physics 2021-10-27 Mario Vretenar , Chris Toebes , Jan Klaers

In this work, we would like to present the Bose-Einstein Condensation in such a system where rotation is decreasing radially from the centre of the condensate. That non-uniform rotation is defined by a rotating parameter called $\lambda$.…

Atomic Physics · Physics 2018-06-21 Saswata Sahu , Dwipesh Majumder

We study the thermodynamic properties of a non-interacting, relativistic gas of charged scalar bosons in a uniform magnetic field, including both statistical and vacuum contributions at arbitrary field strengths. Focusing on the…

The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of the standard mathematical models in which a proof for the…

Probability · Mathematics 2022-01-14 Orphée Collin , Benedikt Jahnel , Wolfgang König

We address the possibility of realizing Bose-Einstein condensation as a first-order phase transition by admixture of particles of different species. To this aim we perform a comprehensive analysis of phase diagrams of two-component mixtures…

Quantum Gases · Physics 2024-10-10 Pawel Jakubczyk , Krzysztof Myśliwy , Marek Napiórkowski

We present a model which predicts the temperature of Bose-Einstein condensation in atomic alkali gases and find excellent agreement with recent experimental observations. A system of bosons confined by a harmonic oscillator potential is not…

Condensed Matter · Physics 2009-10-28 Klaus Kirsten , David J. Toms

A stable non ideal Bose system whose energy operator includes a perturbations depending on the square root of the number operator associated to the zero mode energy is analyzed, demonstrating that, in presence or absence of a gap in the one…

Statistical Mechanics · Physics 2020-01-07 Marco Corgini

In two-dimensional traps, since the theoretical study of Bose-Einstein condensation (BEC) will encounter the problem of divergence, the actual contribution of the divergent terms is often estimated in some indirect ways with the accuracy to…

Quantum Gases · Physics 2019-05-03 Mi Xie

Every Bose-Einstein condensate is in a highly entangled state, as a consequence of the fact that the particles in a condensate are distributed over space in a coherent way. It is proved that any two regions within a condensate of finite…

Quantum Physics · Physics 2009-11-07 Christoph Simon

The boundary effects on the Bose-Einstein condensation of a Bose gas with a nonvanishing chemical potential on an ultra-static space-time are studied. High temperature regime, which is the relevant regime for the relativistic gas, is…

General Physics · Physics 2015-05-14 L. Akant , E. Ertugrul , Y. Gul , O. T. Turgut

The dynamics of stability and collapse of a trapped atomic Bose-Einstein condensate (BEC) coupled to a molecular one is studied using the time-dependent Gross-Pitaevskii (GP) equation including a nonlinear interaction term which can…

Soft Condensed Matter · Physics 2009-11-07 Sadhan K. Adhikari

In this short review we present our recent results concerning the rotation of atomic Bose-Einstein condensates confined in quadratic or quartic potentials, and give an overview of the field. We first describe the procedure used to set an…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Sabine Stock , Baptiste Battelier , Vincent Bretin , Zoran Hadzibabic , Jean Dalibard

Multistep Bose-Einstein condensation of an ideal Bose gas in anisotropic harmonic atom traps is studied. In the presence of strong anisotropy realized by the different trap frequency in each direction, finite size effect dictates a series…

Quantum Physics · Physics 2008-11-26 K. Shiokawa

We consider the model of self-interacting complex scalar fields with a rigid gauge invariance under an arbitrary gauge group $G$. In order to analyze the phenomenon of Bose-Einstein condensation finite temperature and the possibility of a…

High Energy Physics - Theory · Physics 2016-09-06 K. Kirsten , D. J. Toms

We illustrate how Bose-Einstein condensation occurs not only in momentum space but also in coordinate (or real) space. Analogies between the isotherms of a van der Waals gas of extended (or finite-diameter) identical atoms and the point (or…

Statistical Mechanics · Physics 2007-05-23 J. J. Valencia , M. de Llano , M. A. Solis

We explore the consequences of Bose-Einstein condensation on two-scalar-exchange mediated forces among bodies that sit in a boson gas. We find that below the condensation temperature the range of the forces becomes infinite while it is…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Ferrer , J. A. Grifols

The phenomenon of Bose-Einstein condensation is traditionally associated with and experimentally verified for low temperatures: either of nano-Kelvin scale for alkali atoms [1-3] or room temperatures for quasi-particles [4,5] or photons in…

Plasma Physics · Physics 2020-02-04 M. A. Prakapenia , G. V. Vereshchagin

The focusing of a propagating untrapped Bose-Einstein condensate is studied theoretically. We use a scaling solution method comprising a time-dependent scaling function to analytically examine the dynamics of a falling Bose-Einstein…

Quantum Gases · Physics 2021-12-14 R. Richberg , A. M. Martin
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