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We study interacting Bose gases of dimensions $2\le d \in \mathbb N$ at zero temperature in a random model known as the Kac-Luttinger model. Choosing the pair-interaction between the bosons to be of a mean-field type, we prove (complete)…

Mathematical Physics · Physics 2024-07-02 Chiara Boccato , Joachim Kerner , Maximilian Pechmann

We study the quasi-two-dimensional Bose gas in harmonic traps at temperatures above the Kosterlitz-Thouless transition, where the gas is in the normal phase. We show that mean-field theory takes into account the dominant interaction effects…

Quantum Gases · Physics 2013-05-29 Markus Holzmann , Maguelonne Chevallier , Werner Krauth

We propose a stochastic description of the dynamics of a Bose-Einstein condensate within the context of Nelson stochastic mechanics. We start from the $N$ interacting conservative diffusions, associated with the $N$ Bose particles, and take…

Probability · Mathematics 2025-06-26 Luigi Borasi , Francesco C. De Vecchi , Stefania Ugolini

Since their prediction by Einstein at the dawn of quantum mechanics, Bose-Einstein condensates (BECs), owing to their property to show quantum phenomena on macroscopic scales, are drawing increasing attention across various fields in…

We calculate for the first time the shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate (BEC). Two different methods are used. One is the Grad's method of moments and another is the Green-Kubo…

High Energy Physics - Phenomenology · Physics 2019-11-19 Zhengyu Chen , Carsten Greiner , Zhe Xu , Pengfei Zhuang

We show that a recently proposed derivation of Bose-Einstein correlations (BEC) by means of thermal Quantum Field Theory, supplemented by operator-field evolution of Langevin type, allows a deeper understanding of a possible coherent…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. A. Kozlov

This review explores the dynamics and the low-energy excitation spectra of Bose-Einstein condensates (BECs) of interacting bosons in external potential traps putting particular emphasis on the emerging many-body effects beyond mean-field…

Quantum Gases · Physics 2021-01-29 Ofir E. Alon , Raphael Beinke , Lorenz S. Cederbaum

We have analytically explored the quantum phenomenon of particle scattering by harmonically trapped Bose and Fermi gases with the short ranged (Fermi-Huang $\delta^3_p$ [1]) interactions among the incident particle and the scatterers. We…

Quantum Physics · Physics 2018-03-20 Ankita Bhattacharya , Samir Das , Shyamal Biswas

We consider the self-evolution of strongly non-equilibrium interacting Bose gas. Due to the mere fact of large (as compared to unity) occupation numbers in the initial state the problem is directly reduced to the question of temporal…

Condensed Matter · Physics 2009-10-30 Yu. Kagan , B. V. Svistunov

It is demonstrated that a two-component Bose-Einstein condensate (BEC) with all-repulsive inter-atomic interactions loaded into a radially symmetric harmonic trap supports robust non-coaxial vortices with approximately orthogonal vortex…

Pattern Formation and Solitons · Physics 2015-05-18 R. Driben , V. V. Konotop , T. Meier

We determine the behaviour of entanglement between regions of space in a Bose gas of fixed particle number around the critical temperature condensation. Long-range correlations develop in the Bose-Einstein condensate (BEC) phase transition…

Quantum Physics · Physics 2007-11-07 Libby Heaney

Bose-Einstein condensation is a remarkable manifestation of quantum statistics and macroscopic quantum coherence. Superconductivity and superfluidity have their origin in Bose-Einstein condensation. Ultracold quantum gases have provided…

We study the entanglement entropy and spectrum between components in binary Bose-Einstein condensates in $d$ spatial dimensions. We employ effective field theory to show that the entanglement spectrum exhibits an anomalous square-root…

Quantum Gases · Physics 2021-04-21 Takumi Yoshino , Shunsuke Furukawa , Masahito Ueda

In this study, we examine the emergence of photon Bose-Einstein condensation (BEC) resulting from the interaction of high-energy photons with a cold electron gas, modeled via a modified Kompaneets equation. Beginning with an initial…

High Energy Physics - Phenomenology · Physics 2025-08-26 Bing'ang Guo , Wei Kou , Xurong Chen

We study Bose-Einstein condensate in the combined presence of time modulated optical lattice and harmonic trap in the mean-field approach. Through the self-similar method, we show the existence of sinusoidal lattice modes in this…

Quantum Gases · Physics 2015-11-04 Priyam Das , Prasanta K. Panigrahi

The occurrence of phase fluctuations due to thermal excitations in Bose-Einstein condensates (BECs) is studied for a variety of temperatures and trap geometries. We observe the statistical nature of the appearence of phase fluctuations and…

In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus $\Lambda=(L\mathbb{T})^3$ that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock-Bogoliubov (HFB) fluctuations. Given a Bose-Einstein…

Mathematical Physics · Physics 2023-09-12 Thomas Chen , Michael Hott

We have studied the effects of Lorentz-violation in the Bose-Einstein condensation (BEC) of an ideal boson gas, by assessing both the nonrelativistic and ultrarelativistic limits. Our model describes a massive complex scalar field coupled…

High Energy Physics - Theory · Physics 2015-02-17 Rodolfo Casana , Kleber A. T. da Silva

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

Other Condensed Matter · Physics 2008-04-14 Mark E. Perel'man

We study the temporal expansion of an ultracold Bose gas in two-dimensional, square optical lattices. The gas is described by the Bose-Hubbard model deep in the superfluid regime, with initially all bosons condensed in the central site of…

Quantum Gases · Physics 2021-03-17 Mauricio Trujillo-Martinez , Anna Posazhennikova , Johann Kroha