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A Langevin equation for the complex amplitude of a single-mode Bose-Einstein condensate is derived. The equation is first formulated phenomenologically, defining three transport parameters. It is then also derived microscopically.…

Soft Condensed Matter · Physics 2009-10-31 Robert Graham

The aim of this paper is to perform a numerical and analytical study of a rotating Bose Einstein condensate placed in a harmonic plus Gaussian trap, following the experiments of \cite{bssd}. The rotational frequency $\Omega$ has to stay…

Quantum Gases · Physics 2012-09-27 Amandine Aftalion , Peter Mason

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su ciently strong, there is no theoretical limit to the rotation…

Quantum Gases · Physics 2019-10-01 Michele Correggi , Florian Pinsker , Nicolas Rougerie , Jakob Yngvason

In this review, we give an overview of the experimental and theoretical advances in the physics of quantized vortices in dilute atomic-gas Bose--Einstein condensates in a trapping potential, especially focusing on experimental research…

Other Condensed Matter · Physics 2009-07-10 Kenichi Kasamatsu , Makoto Tsubota

Considering a Bose-Einstein condensed gas confined in one dimension with periodic boundary conditions, we demonstrate that, very generally, solitary-wave and rotational excitations coincide. This exact equivalence allows us to establish…

Quantum Gases · Physics 2015-05-20 A. D. Jackson , J. Smyrnakis , M. Magiropoulos , G. M. Kavoulakis

A rotating superfluid such as a Bose-Einstein condensate is usually described by the Gross-Pitaevskii (GP) model. An important issue is to determine from this model the properties of the quantized vortices that a superfluid nucleates when…

Statistical Mechanics · Physics 2010-11-18 Nicolas Rougerie

We present the dynamics of rotating Bose Condensate galactic dark matter halos, made of an ultralight spinless boson. We restrict to the case of adding axisymmetric rigid rotation to initially spherically symmetric structures and show there…

Cosmology and Nongalactic Astrophysics · Physics 2014-03-07 F. S. Guzman , F. D. Lora-Clavijo , J. J. Gonzalez-Aviles , F. J. Rivera-Paleo

Quantum sensors based on matter-wave interferometry are promising candidates for high-precision gravimetry and inertial sensing in space. The favorable source for the coherent matter waves in these devices are Bose-Einstein condensates. A…

We consider the quantum dynamics of interacting bosons in the mean-field regime when they are subjected to a disordered potential, which is either random or quasi-periodic. Starting from a spatially localized Bose-Einstein condensate, we…

Mathematical Physics · Physics 2025-11-13 Marius Lemm , Simone Rademacher , Jingxuan Zhang

The sonic analog of a gravitational black hole in dilute-gas Bose-Einstein condensates is investigated. It is shown that there exist both dynamically stable and unstable configurations which, in the hydrodynamic limit, exhibit a behavior…

General Relativity and Quantum Cosmology · Physics 2008-11-26 L. J. Garay , J. R. Anglin , J. I. Cirac , P. Zoller

We consider galaxy halos formed by dark matter bosons with mass in the range of about a few tens or hundreds eV. A major part of the particles is in a noncondensed state and described under the Thomas-Fermi approach. Derived equations are…

Astrophysics of Galaxies · Physics 2021-12-08 Iskander G. Abdullin , Vladimir A. Popov

We investigate the possible occurrence of a Bose-Einstein condensed phase of matter within neutron stars due to the formation of Cooper pairs among the superfluid neutrons. To this end we study the condensation of bosonic particles under…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Christine Gruber , Axel Pelster

Superfluids are distinguished from ordinary fluids by the quantized manner the rotation is manifested in them. Precisely, quantized vortices are known to appear in the bulk of a superfluid subject to external rotation. In this work we study…

Quantum Gases · Physics 2015-10-09 Marios C. Tsatsos , Axel U. J. Lode

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

We investigate the interference of two-dimensional Bose-Einstein condensates in micro-gravity, which influenced by the interaction strength, initial momentum, gravitational potential and phase difference. We demonstrate that the…

Quantum Gases · Physics 2024-01-03 Tie-Fu Zhang , Hao Zhu , Wen-Kai Bai , Kai Liu , Yi-Hui Xing , Wu-Ming Liu

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

This work studies the formation and growth of boson stars and their surrounding miniclusters by gravitational condensation using non-linear dynamical numerical methods. Fully dynamical attractive and repulsive self-interactions are also…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-27 Jiajun Chen , Xiaolong Du , Erik W. Lentz , David J. E. Marsh , Jens C. Niemeyer

We study the Jeans mass-radius relation of Bose-Einstein condensate dark matter in Newtonian gravity. We show at a general level that it is similar to the mass-radius relation of Bose-Einstein condensate dark matter halos [P.H. Chavanis,…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Pierre-Henri Chavanis

Standard thermodynamical results of ideal Bose gases are used to study the possible formation of a cosmological Bose-Einstein condensate in Scalar Field Dark Matter models; the main hypothesis is that the boson particles were in thermal…

General Relativity and Quantum Cosmology · Physics 2010-10-27 L. Arturo Ureña-López

We consider the effects of an uncorrelated random potential on the properties of Bose-Einstein Condensate (BEC) dark matter halos, which acts as a source of disorder, and which is added as a new term in the Gross-Pitaevskii equation,…

General Relativity and Quantum Cosmology · Physics 2022-05-18 Tiberiu Harko , Eniko J. Madarassy