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We employ mean-field, Bogoliubov, and many-body theories to study critical fluctuations in position and momentum of a Bose-Einstein condensate whose translation symmetry is spontaneously broken due to attractive interactions. In a…

Other Condensed Matter · Physics 2009-11-11 Rina Kanamoto , Hiroki Saito , Masahito Ueda

We consider a weakly-interacting Bose-Einstein condensate that rotates in either a harmonic, or a weakly-anharmonic trapping potential. Performing numerical calculations, we investigate the behaviour of the gas in these two cases as the…

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

It is argued that a continuous quantum phase transition between different ordered phases in spinor Bose-Einstein condensates predicted by the mean-field theory is vulnerable to quantum fluctuations. By analyzing Lee-Huang-Yang corrections…

Quantum Gases · Physics 2014-08-05 Shun Uchino

Within the Canonical Ensemble, we investigate a system of interacting relativistic bosons at finite temperatures and finite isospin densities in a mean-field approach. The mean field contains both attractive and repulsive terms. Temperature…

Nuclear Theory · Physics 2024-10-08 V. Gnatovskyy , D. Anchishkin , D. Zhuravel , V. Karpenko

We investigate the possibilities of distinguishing the mean-field and fluctuation effects on the critical temperature of a trapped Bose gas with repulsive interatomic interactions. Since in a direct measurement of the critical temperature…

Statistical Mechanics · Physics 2014-10-13 M. Houbiers , H. T. C. Stoof , E. A. Cornell

We study the impact of attractive self-interactions on the nonequilibrium dynamics of relativistic quantum fields with large occupancies at low momenta. Our primary focus is on Bose-Einstein condensation and nonthermal fixed points in such…

High Energy Physics - Phenomenology · Physics 2018-01-22 J. Berges , K. Boguslavski , A. Chatrchyan , J. Jaeckel

The paradox of Bose-Einstein condensation is that phenomena such as the $\lambda$-transition heat capacity and superfluid flow are macroscopic, whereas the occupancy of the ground state is microscopic. This contradiction is resolved with a…

Statistical Mechanics · Physics 2023-07-24 Phil Attard

Bose-Einstein condensation is unique among phase transitions between different states of matter in the sense that it occurs even in the absence of interactions between particles. In Einstein's textbook picture of an ideal gas, purely…

We discuss the dynamics of an open two-mode Bose-Hubbard system subject to phase noise and particle dissipation. Starting from the full many-body dynamics described by a master equation the mean-field limit is derived resulting in an…

Other Condensed Matter · Physics 2008-09-12 F. Trimborn , D. Witthaut , S. Wimberger

Bose-Einstein condensation of antikaons in cold and dense beta-equilibrated matter under the influence of strong magnetic fields is studied within a relativistic mean field model. For magnetic fields $> 5 \times 10^{18}$G, the phase spaces…

Astrophysics · Physics 2014-10-13 Prantick Dey , Abhijit Bhattacharyya , Debades Bandyopadhyay

We investigate two solvable models for Bose-Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of…

Quantum Gases · Physics 2012-04-27 D. Rubeni , A. Foerster , E. Mattei , I. Roditi

Ring polymer self-consistent field theory is used to calculate the critical temperatures and heat capacities of an ideal Bose gas for an order of magnitude more particles than previously reported. A lambda-transition indicative of…

Quantum Physics · Physics 2025-01-07 Russell B. Thompson

We study the equilibrium correlations of a Bose gas in an elongated three-dimensional harmonic trap using a grand-canonical classical-field method. We focus in particular on the progressive transformation of the gas from the normal phase,…

Quantum Gases · Physics 2013-07-16 Michael C. Garrett , Tod M. Wright , Matthew J. Davis

We consider a Bose-Einstein condensate in a double-well potential undergoing a dynamical transition from the regime of Josephson oscillations to the regime of self-trapping. We analyze the statistical properties of the ground state (or the…

Quantum Gases · Physics 2010-05-13 B. Julia-Diaz , D. Dagnino , M. Lewenstein , J. Martorell , A. Polls

We examine the occurrence of Bose-Einstein condensation in both nonrelativistic and relativistic systems with no self-interactions in a general setting. A simple condition for the occurrence of Bose-Einstein condensation can be given if we…

High Energy Physics - Theory · Physics 2009-10-28 Klaus Kirsten , David J. Toms

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

The coherence properties of degenerate Bose gases have usually been expressed in terms of spatial correlation functions, neglecting the rich information encoded in their temporal behavior. In this paper we show, using a Hamiltonian…

Quantum Gases · Physics 2010-07-20 T. M. Wright , P. B. Blakie , R. J. Ballagh

We construct states describing Bose Einstein condensates at finite temperature for a relativistic massive complex scalar field with $|\varphi|^4$-interaction. We start with the linearised theory over a classical condensate and construct…

Mathematical Physics · Physics 2020-11-12 Romeo Brunetti , Klaus Fredenhagen , Nicola Pinamonti

We study both mean-field and full quantum dynamics of symmetry-breaking transitions (SBTs) in a coupled two-component Bose-Einstein condensate. By controlling s-wave scattering lengths and coupling strength, it is possible to stimulate SBTs…

Mesoscale and Nanoscale Physics · Physics 2010-04-22 Chaohong Lee
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