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We study various properties of an ultracold two-dimensional (2D) Bose gas that are beyond a mean-field description. We first derive the effective interaction for such a system as realized in current experiments, which requires the use of an…

Statistical Mechanics · Physics 2009-11-13 Lih-King Lim , C. Morais Smith , H. T. C. Stoof

We present a numerical study of a trapped binary Bose-condensed gas by solving the corresponding Hartree-Fock equations. The density profile of the binary Bose gas is solved with a harmonic trapping potential as a function of temperature in…

Soft Condensed Matter · Physics 2015-06-25 P. Ohberg , S. Stenholm

These notes present simple theoretical approaches to study Bose-Einstein condensation in trapped atomic gases and their comparison to recent experimental results : - the ideal Bose gas model - Fermi pseudopotential to model the atomic…

Condensed Matter · Physics 2022-03-23 Yvan Castin

Thermodynamical properties of an interacting boson system at finite temperatures and zero chemical potential are studied within the framework of the Skyrme-like mean-field toy model. It is assumed that the mean field contains both…

Nuclear Theory · Physics 2019-02-20 D. Anchishkin , I. Mishustin , H. Stoecker

We establish a unified thermodynamic framework for Bose mixtures at finite temperatures based on the functional field integral, within which the decision on whether to discard the anomalous densities, when determining the density…

Quantum Gases · Physics 2025-08-18 Yuan-Hong Chen , Renyuan Liao

The two-component mixture of Bose particles with short-range pairwise interaction at finite temperatures in three dimensions is considered. Particularly we examine, by means of the large-$N$ expansion technique, the stability of mixed state…

Quantum Gases · Physics 2020-12-02 Orest Hryhorchak , Volodymyr Pastukhov

We study a Bose-condensed gas at finite temperature, in which the particles of the condensate and of the thermal cloud are constrained to move in a plane under radial harmonic confinement and interact via strictly two-dimensional…

Soft Condensed Matter · Physics 2009-11-10 K. K. Rajagopal , P. Vignolo , M. P. Tosi

We present a semiclassical three-fluid model for a Bose-condensed mixture of interacting Bose and Fermi gases confined in harmonic traps at finite temperature. The model is used to characterize the experimentally relevant behaviour of the…

Condensed Matter · Physics 2016-08-31 M. Amoruso , A. Minguzzi , S. Stringari , M. P. Tosi , L. Vichi

We study the collective modes of a one-dimensional harmonically trapped Bose-Einstein condensate in the presence of the anomalous density using the time-dependent Hartree-Fock-Bogoliubov theory. Within the hydrodynamic equations, we derive…

Quantum Gases · Physics 2016-11-29 Abdelaali Boudjemaa

Thermodynamics properties of an interacting system of bosons are considered at finite temperatures and zero chemical potential within the Skyrme-like mean-field model. An interplay between attractive and repulsive interactions is…

High Energy Physics - Phenomenology · Physics 2021-05-26 O. S. Stashko , D. V. Anchishkin , O. V. Savchuk , M. I. Gorenstein

We study the time evolution of an initially trapped weakly interacting Bose gas at positive temperature, after the trapping potential has been switched off. It has been recently shown in arXiv:2009.00992 that the one-particle density matrix…

Mathematical Physics · Physics 2025-05-08 Marco Caporaletti , Andreas Deuchert , Benjamin Schlein

Advances in creating stable dipolar Bose systems, and ingenious box traps have generated tremendous interest. Theory study of dipolar bosons at finite temperature (T) has been limited. Motivated by these, we study 2D dipolar bosons at…

Quantum Gases · Physics 2021-04-21 Pengtao Shen , Khandker F. Quader

The influence of a weak random potential on the collective modes of a trapped interacting Bose-Einstein condensate at zero temperature is calculated in the limit when the correlation length of the disorder is smaller than the healing length…

Other Condensed Matter · Physics 2010-02-05 G. M. Falco , A. Pelster , R. Graham

Thermodynamical properties of an interacting system of scalar bosons at finite temperatures are studied within the framework of a field-theoretical model containing the attractive and repulsive self-interaction terms. Self-consistency…

Nuclear Theory · Physics 2019-08-28 I. N. Mishustin , D. V. Anchishkin , L. M. Satarov , O. S. Stashko , H. Stoecker

We consider a strongly interacting one-dimensional (1D) Bose-Fermi mixture confined in a hard wall trap or a harmonic oscillator trap with a tunable $\delta$-function barrier at the trap center. The mixture consists of 1D Bose gas with…

Quantum Gases · Physics 2010-07-16 Xiaolong Lü , Xiangguo Yin , Yunbo Zhang

A practical finite temperature theory is developed for the superfluid regime of a weakly interacting Bose gas in an optical lattice with additional harmonic confinement. We derive an extended Bose-Hubbard model that is valid for shallow…

Quantum Gases · Physics 2009-10-13 D. Baillie , P. B. Blakie

The temperature dependence of a mobile impurity in a dilute Bose gas, the Bose polaron, is investigated for wide a range of impurity-bath interactions. Using a diagrammatic resummation scheme designed to include scattering processes…

Quantum Gases · Physics 2018-02-08 Nils-Eric Guenther , Pietro Massignan , Maciej Lewenstein , Georg M. Bruun

We investigate magnetic properties of strongly interacting bosonic mixtures confined in one dimensional geometries, focusing on recently realized Rb-K gases with tunable interspecies interactions. By combining analytical perturbation theory…

Quantum Gases · Physics 2013-03-26 M. Dalmonte , E. Ercolessi , M. Mattioli , F. Ortolani , D. Vodola

Thermodynamically stable low-temperature phases of the Bose-Fermi mixtures composed of bosons and spinless fermions close to four dimensions are considered. In the regime, where the only boson-fermion two-body interaction is present and…

Quantum Gases · Physics 2024-04-01 V. Pastukhov

Ultracold Bose gases in one-dimensional optical lattices constitute an important benchmark problem in the study of strongly interacting many-body quantum phases. Here we present a combined experimental and theoretical study of their…

Quantum Gases · Physics 2026-03-30 R. Vatré , G. Morettini , J. Beugnon , R. Lopes , L. Mazza , F. Gerbier
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