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Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

Mathematical Physics · Physics 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

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 study dimension reduction for the three-dimensional Gross-Pitaevskii equation with a long-range and anisotropic dipole-dipole interaction modeling dipolar Bose-Einstein condensation in a strong interaction regime. The cases of disk…

Analysis of PDEs · Mathematics 2015-04-16 Weizhu Bao , Loïc Le Treust , Florian Méhats

We study harmonically trapped two-species Bose-Einstein condensates within the Gross-Pitaevskii formalism. By invoking the Thomas-Fermi approximation, we derive an analytical solution for the miscible ground state in a particular region of…

Quantum Gases · Physics 2018-05-01 P. Kuopanportti , Y. M. Liu , Y. Z. He , C. G. Bao

By improving the Bose-Einstein condensate model of dark matter through the repulsive three-particle interaction to better reproduce observables such as rotation curves, both different thermodynamic phases and few-particle correlations are…

Astrophysics of Galaxies · Physics 2022-11-22 A. M. Gavrilik , A. V. Nazarenko

Within Gross-Pitaevskii (GP) theory we derive the interface potential V (l) which describes the interaction between the interface separating two demixed Bose-condensed gases and an optical hard wall at a distance l. Previous work revealed…

Quantum Gases · Physics 2022-05-27 Bert Van Schaeybroeck , Patrick Navez , Joseph O. Indekeu

We investigate the bifurcation structure of stationary states in a dipolar Bose-Einstein condensate located in an external PT-symmetric potential. The imaginary part of this external potential allows for the effective description of in- and…

Quantum Physics · Physics 2016-11-23 Robin Gutöhrlein , Holger Cartarius , Jörg Main , Günter Wunner

We develop theory for a flattened dipolar Bose-Einstein condensate (BEC) produced by harmonic confinement along one direction. The role of both short-ranged contact interactions and long-ranged dipole-dipole interactions (DDIs) is…

Quantum Gases · Physics 2015-03-17 D. Baillie , P. B. Blakie

Bose-Einstein condensates with an attractive 1/r interaction and with dipole-dipole interaction are investigated in the framework of the Gaussian variational ansatz introduced by S. Rau, J. Main, and G. Wunner [Phys. Rev. A, submitted]. We…

Quantum Gases · Physics 2010-08-17 Stefan Rau , Jörg Main , Holger Cartarius , Patrick Köberle , Günter Wunner

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

The paper considers a model for Bose gases in the so-called 'high-temperature range' below the temperature Tc, where Bose-Einstein condensation sets in.The model is of non-linear two-component type, consisting of a kinetic equation with…

Mathematical Physics · Physics 2016-03-09 L. Arkeryd , A. Nouri

We show that the Gross-Pitaevskii equation with cubic nonlinearity, as a model to describe the one dimensional Bose-Einstein condensates loaded into a harmonically confined optical lattice, presents a set of ground states which is orbitally…

Analysis of PDEs · Mathematics 2015-05-28 Rolci Cipolatti , Juan López Gondar , Carlos Trallero-Giner

We perform a mean-field study of the binary Bose-Einstein condensate mixtures as a function of the mutual repulsive interaction strength. In the phase segregated regime, we find that there are two distinct phases: the weakly segregated…

Condensed Matter · Physics 2009-10-31 P. Ao , S. T. Chui

We study the following nonlocal mixed order Gross-Pitaevskii equation $$i\,\partial_t \psi=-\frac{1}{2}\,\Delta \psi+V_{ext}\,\psi+\lambda_1\,|\psi|^2\,\psi+\lambda_2\,(K*|\psi|^2)\,\psi+\lambda_3\,|\psi|^{p-2}\,\psi,$$ where $K$ is the…

Analysis of PDEs · Mathematics 2019-03-26 Yongming Luo , Athanasios Stylianou

We derive a non-equilibrium finite-temperature kinetic theory for a binary mixture of two interacting atomic Bose-Einstein condensates and use it to explore the degree of hydrodynamicity attainable in realistic experimental geometries.…

Quantum Gases · Physics 2015-12-08 M. J. Edmonds , K. L. Lee , N. P. Proukakis

We derive Ehrenfest like equations for the coupled Gross Pitaevskii equations (CGPE) which describe the dynamics of the binary Bose-Einstein condensate (BBEC) both in the free particle regime and in the regime where condensate is well…

Quantum Gases · Physics 2017-12-06 Sukla Pal , Jayanta K. Bhattacharjee

A mixture of two kinds of identical bosons, species $1$ and species $2$, held in a harmonic potential and interacting by harmonic intra-species and inter-species particle-particle interactions is discussed. To prove Bose-Einstein…

Quantum Gases · Physics 2017-07-03 Ofir E. Alon

The purpose of the comment is to point out that the leading term of the Ginzburg-Landau nonanalytical correction to the interface tension of Bose-Einstein condensates with strong segregation and the surface tension of extreme type-I…

Quantum Gases · Physics 2015-06-01 Todor M. Mishonov

We use the Gross-Pitaevskii equation to determine the spatial structure of the condensate density of interacting bosons whose energy dispersion epsilon_k has two degenerate minima at finite wave-vectors q. We show that in general the…

Quantum Gases · Physics 2011-01-14 Johannes Hick , Francesca Sauli , Andreas Kreisel , Peter Kopietz

The theory of Bose-Einstein condensation in a two-dimensional(2D) harmonic trap is developed from 2D Gross-Pitaevskii equation. The 2D interaction strength is obtained from a 2D collision theory. We show the realization of 2D condensation…

Statistical Mechanics · Physics 2016-08-31 Sang-Hoon Kim , Changyeon Won , Sung Dahm Oh , Wonho Jhe