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Related papers: Three-component Bose-Einstein condensates and wett…

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Nucleation and wetting transitions are studied in a three-component Bose-Einstein condensate mixture within Gross-Pitaevskii theory. For special cases of intermediate segregation between components 1 and 2, the nucleation phase transition…

Quantum Gases · Physics 2025-11-27 Jonas Berx , Nguyen Van Thu , Joseph O. Indekeu

The possibility of wetting phase transitions in Bose-Einstein condensed gases is predicted on the basis of Gross-Pitaevskii theory. The surface of a binary mixture of Bose-Einstein condensates can undergo a first-order wetting phase…

Other Condensed Matter · Physics 2009-11-10 J. O. Indekeu , B. Van Schaeybroeck

An ultralow-temperature binary mixture of Bose-Einstein condensates adsorbed at an optical wall can undergo a wetting phase transition in which one of the species excludes the other from contact with the wall. Interestingly, while hard-wall…

Statistical Mechanics · Physics 2015-02-03 Bert Van Schaeybroeck , Joseph Indekeu

By means of Gross-Pitaevskii theory we investigate the possibility of wetting phase transition in three-component Bose-Einstein condensates within the strong segregation between components 1 and 2. Third component plays the role of a…

Quantum Gases · Physics 2025-11-25 Nguyen Van Thu

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

Mathematical Physics · Physics 2017-11-21 Weizhu Bao

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

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

The theoretical description of non-equilibrium Bose--Einstein condensate (BEC) is one of the main challenges in modern statistical physics and kinetics. The non-equilibrium nature of BEC makes it impossible to employ the well-established…

Quantum Gases · Physics 2022-06-01 V. Yu. Shishkov , E. S. Andrianov , Yu. E. Lozovik

Bose-Einstein condensation (BEC) of a noninteracting Bose gas of N particles in a two-dimensional box with Dirichlet boundary conditions is studied. Confirming previous work, we find that BEC occurs at finite N at low temperatures T without…

Statistical Mechanics · Physics 2015-12-08 Heqiu Li , Qiujiang Guo , Ji Jiang , D. C. Johnston

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

Phase transitions are ubiquitous in our three-dimensional world. By contrast most conventional transitions do not occur in infinite uniform two-dimensional systems because of the increased role of thermal fluctuations. Here we explore the…

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-Einstein condensates, under the action of strong confinement in one direction ($z$), to a 2D mean-field equation. We address this problem for the…

Quantum Gases · Physics 2020-10-14 Mateus C. P. dos Santos , Boris A. Malomed , Wesley B. Cardoso

We study turbulence and Bose-Einstein condensation (BEC) within the two-dimensional Gross-Pitaevski (GP) model. In the present work, we compute decaying GP turbulence in order to establish whether BEC can occur without forcing and if there…

Chaotic Dynamics · Physics 2015-06-26 Sergey Nazarenko , Miguel Onorato

We present results on Bose-Einstein condensation (BEC) on general compact quantum graphs, i.e., one-dimensional systems with a (potentially) complex topology. We first investigate non-interacting many-particle systems and provide a complete…

Mathematical Physics · Physics 2018-05-16 Jens Bolte , Joachim Kerner

In this paper we review recent progress in studying quantum phase transitions in one- and two-component Bose-Einstein condensates (BEC) in optical lattices. These phase transitions involve the emergence and disappearance of quantum…

Strongly Correlated Electrons · Physics 2009-11-10 Yong-Shi Wu

We investigate the behavior of a Bose-Einstein Condensate (BEC) under the influence of a central barrier as the particle number trends towards the thermodynamic limit. In order to perform these studies, we present a novel method which is…

Quantum Gases · Physics 2010-11-25 Douglas K. Faust , William P. Reinhardt

We consider one-dimensional mixtures of an atomic Bose-Einstein condensate (BEC) and Tonks- Giradeau (TG) gas. The mixture is modeled by a coupled system of the Gross-Pitaevskii equation for the BEC and the quintic nonlinear Schroedinger…

Quantum Gases · Physics 2016-02-17 Giovanni Filatrella , Boris A. Malomed

We study the quantum phase transition from the superfluid to the Mott insulator state in two and three dimensional Bose-Einstein condensate (BEC) with optical lattices using Bose-Hubbard Hamiltonian within the Generalized…

Quantum Gases · Physics 2014-12-09 M. Bendacha , Abdelaali Boudjemâa

Interfacial profiles and interfacial tensions of phase-separated binary mixtures of Bose-Einstein condensates are studied theoretically. The two condensates are characterized by their respective healing lengths $\xi_1$ and $\xi_2$ and by…

Statistical Mechanics · Physics 2015-03-17 Joseph O. Indekeu , Chang-You Lin , Nguyen Van Thu , Bert Van Schaeybroeck , Tran Huu Phat
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