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We consider a trapped quasi2D dipolar Bose Einstein condensate (q2D DBEC) with a polariza- tion tilted into the plane of motion. We show that by tilting the polarization axis, the coherence properties are anisotropic. Such a system will…

Atomic Physics · Physics 2012-11-06 Christopher Ticknor

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the…

Analysis of PDEs · Mathematics 2008-12-01 Amandine Aftalion , Xavier Blanc , Nicolas Lerner

The dynamics of Josephson-like oscillations between two coupled Bose-Einstein condensates is studied using the time-dependent variational method. We suppose that the quantum state of the condensates is a gaussian wave-packet which can…

Soft Condensed Matter · Physics 2009-10-31 Chi-Yong Lin , E. J. V. de Passos , Da-Shin Lee

The criteria for validity of adiabaticity for nonlinear wave equations are considered within the context of atomic matter-waves tunneling from macroscopically populated optical standing-wave traps loaded from a Bose-Einstein condensate. We…

Statistical Mechanics · Physics 2009-11-07 Y. B. Band , Marek Trippenbach

We consider the Bose-Einstein condensation of atoms in a trap where the density of particles is so high that the low density approach of Gross and Pitaevskii will not be applicable. For this purpose we use the slave boson representation…

Statistical Mechanics · Physics 2009-10-30 Klaus Ziegler , Alok Shukla

According to the well-known analysis by Nozi\'{e}res, the fragmentation of the condensate increases the energy of a uniform interacting Bose system. Therefore, at $T= 0$ the condensate should be nonfragmented. We perform a more detailed…

Quantum Gases · Physics 2021-07-20 Maksim Tomchenko

We study peculiarities of Bose-Einstein condensation of photons that are in thermodynamic equilibrium with atoms of noninteracting gases. General equations of the thermodynamic equilibrium of the system under study are obtained. We examine…

Quantum Gases · Physics 2013-07-31 Alex Kruchkov , Yurii Slyusarenko

This paper considers the issue of Bose-Einstein condensation in a weakly interacting Bose gas with a fixed total number of particles. We use an old current algebra formulation of non-relativistic many body systems due to Dashen and Sharp to…

Statistical Mechanics · Physics 2007-05-23 Andrei E. Ruckenstein

We investigate formation of Bose-Einstein condensates under non-equilibrium conditions using numerical simulations of the three-dimensional Gross-Pitaevskii equation. For this, we set initial random weakly nonlinear excitations and the…

Quantum Gases · Physics 2022-03-23 Vishwanath Shukla , Sergey Nazarenko

We discuss a non-equilibrium statistical system on a graph or network. Identical particles are injected, interact with each other, traverse, and leave the graph in a stochastic manner described in terms of Poisson rates, possibly dependent…

Statistical Mechanics · Physics 2015-05-19 V. Y. Chernyak , M. Chertkov , N. A. Sinitsyn

In this paper we investigate the Bose-Einstein condensation of massive spin-1 particles in an Einstein universe. The system is considered under relativistic conditions taking into consideration the possibility of particle-antiparticle pair…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. B. Altaie , Ehab Malkawi

We study the interference effects between three weakly linked trapped Bose-Einstein condensates (BEC) as a generalization of the two-component condensates. Three coupled Gross-Pitaevskii equations (GPE) are used to describe the dynamics of…

Statistical Mechanics · Physics 2009-11-07 Sun Zhang , Fan Wang

Possibility of establishment of equilibrium between the photon and the dense photon bunch is studied. In the case, when the density of plasma does not change, the condition of production of the Bose-Einstein condensate is obtained. It is…

Plasma Physics · Physics 2010-06-04 Levan N. Tsintsadze

We discuss the coherent oscillations between two coupled quantum states of a Bose-Einstein condensate in two-dimensional space at zero temperature. In the system we consider, weak interparticle repulsive interactions occur between the…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 N. S. Voronova , Yu. E. Lozovik

The Bose-stimulated self-organization of a quasi-two dimensional non-equilibrium Bose-Einstein condensate in an in-plane potential is proposed. We obtained the solution of the nonlinear, driven-dissipative Gross-Pitaevskii equation for a…

A Bose-Einstein condensate produced by a Hamiltonian which is rotationally or translationally symmetric is fragmented as a direct result of these symmetries. A corresponding mean-field unfragmented state, with an identical energy to leading…

Other Condensed Matter · Physics 2009-11-13 A. D. Jackson , G. M. Kavoulakis , M. Magiropoulos

The idea is advanced that strong perturbations of an initially equilibrium Bose-condensed gas lead to the sequence of nonequilibrium states whose order is inverse to the sequence of states arising in the process of the Bose-gas relaxation…

Quantum Gases · Physics 2015-02-24 V. I. Yukalov , E. P. Yukalova

We investigate the localization and topological properties of the non-equilibrium steady state (NESS) in a one-dimensional homogeneous system. Our results demonstrate that, despite the absence of disorder in the initial system, the NESS can…

Disordered Systems and Neural Networks · Physics 2025-07-08 Xixi Feng , Ao Zhou , Feng Lu , Gao Xianlong , Shujie Cheng

In the weakly non-ideal gas model [1], the Bose-Einstein condensation at constant pressure is considered. The temperature of transition to the state with condensate is found. Temperature dependences of the total density and condensate…

Quantum Gases · Physics 2024-11-26 Yu. M. Poluektov

Bose-Einstein condensation is a unique phase transition in that it is not driven by inter-particle interactions, but can theoretically occur in an ideal gas, purely as a consequence of quantum statistics. This chapter addresses the question…

Quantum Gases · Physics 2016-09-16 Robert P. Smith