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In this paper, a new kind of multigrid method is proposed for the ground state solution of Bose-Einstein condensates based on Newton iteration method. Instead of treating eigenvalue $\lambda$ and eigenvector $u$ respectively, we regard the…

Numerical Analysis · Mathematics 2016-04-19 Hehu Xie , Fei Xu , Meiling Yue

We propose new algorithm for numerical modelling of Bose-Einstein correlations (BEC). It is based on the fact that identical particles subjected to BEC do, by definition, bunch themselves in a maximal possible way, restricted only by…

High Energy Physics - Phenomenology · Physics 2007-05-23 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We develop a microscopic theory of sound damping due to Landau mechanism in dilute gas with Bose condensate. It is based on the coupled evolution equations of the parameters describing the system. These equations have been derived in…

Quantum Gases · Physics 2013-07-22 Yu. Slyusarenko , A. Kruchkov

Properties of the ground state and the spectrum of elementary excitations are investigated for the low density ultracold spinor 3D Bose gas of particles with arbitrary nonzero spin. Gross-Pitaevskii equations are derived. Within the…

Quantum Gases · Physics 2021-01-19 V. S. Babichenko , I. Ya. Polishchuk

A simple model of Bose-Einstein condensation of interacting particles is proposed. It is shown that in the condensate state the dependence of thermodynamic quantities on the interaction constant does not allow an expansion in powers of the…

Statistical Mechanics · Physics 2017-01-04 Yu. M. Poluektov

We consider the Nelson model which describes a quantum system of nonrelativistic identical particles coupled to a possibly massless scalar Bose field through a Yukawa type interaction. We study the limiting behaviour of that model in a…

Mathematical Physics · Physics 2007-05-23 J. Ginibre , F. Nironi , G. Velo

A relation between the number of bound collective excitations of an atomic Bose-Einstein condensate and the phase shift of elastically scattered atoms is derived. Within the Bogoliubov model of a weakly interacting Bose gas this relation is…

Soft Condensed Matter · Physics 2007-05-23 J. Brand , I. Haering , J. -M. Rost

We consider a system of $N$ bosons in the limit $N \rightarrow \infty$, interacting through singular potentials. For initial data exhibiting Bose-Einstein condensation, the many-body time evolution is well approximated through a quadratic…

Mathematical Physics · Physics 2020-08-28 Simone Rademacher

In this paper we study the entanglement properties of free {\em non-relativistic} Bose gases. At zero temperature, we calculate the bipartite block entanglement entropy of the system, and find it diverges logarithmically with the particle…

Quantum Physics · Physics 2009-08-01 Wenxin Ding , Kun Yang

Landau damping in weakly interacting Bose gases is investigated by means of perturbation theory. Our approach points out the crucial role played by Bose-Einstein condensation and yields an explicit expression for the decay rate of…

Condensed Matter · Physics 2009-10-30 L. P. Pitaevskii , S. Stringari

The role of repulsive interactions in statistical systems of Bose particles is investigated. Three different phenomenological frameworks are considered: a mean field model, an excluded volume model, and a model with a medium dependent…

High Energy Physics - Phenomenology · Physics 2020-09-16 Oleh Savchuk , Yehor Bondar , Oleksandr Stashko , Roman V. Poberezhnyuk , Volodymyr Vovchenko , Mark I. Gorenstein , Horst Stoecker

The equilibration of a finite Bose system is modelled using a gradient expansion of the collision integral that leads to a nonlinear transport equation. For constant transport coefficients, it is solved in closed form through a nonlinear…

High Energy Physics - Phenomenology · Physics 2018-02-12 Georg Wolschin

The GGLP approach to Bose-Einstein correlations, a hydrodynamic model and a string model are briefly reviewed. The implications of the two models for the Bose-Einstein correlations among the decay products of a pair of W bosons are…

High Energy Physics - Phenomenology · Physics 2009-10-31 Kacper Zalewski

We consider a model of two tunnel-coupled one-dimensional Bose gases with hard-wall boundary conditions. Bosonizing the model and retaining only the most relevant interactions leads to a decoupled theory consisting of a quantum sine-Gordon…

Quantum Gases · Physics 2020-08-26 Yuri D. van Nieuwkerk , Fabian H. L. Essler

Bose-Einstein correlations (BEC) observed between identical bosons produced in high energy multiparticle collisions are regarded as very important tool in investigations of multiparticle production processes. We present here their…

High Energy Physics - Phenomenology · Physics 2014-11-17 O. V. Utyuzh , G. Wilk , Z. Wlodarczyk

We consider a model of a one-dimensional Bose gas with attraction. We study ground state equal-time correlation functions in this model using the algebraic Bethe ansatz. In cases of strong interaction or/and large-volume systems, we obtain…

Mathematical Physics · Physics 2024-06-14 N. A. Slavnov

A nonrelativistic Bose gas is represented as a grand-canonical ensemble of fluctuating closed spacetime strings of arbitrary shape and length. The loops are characterized by their string tension and the number of times they wind around the…

Condensed Matter · Physics 2009-10-31 S. Bund , Adriaan M. J. Schakel

In this Note we investigate Bose-Einstein condensation in interacting quantum many-particle systems on graphs. We extend previous results obtained for particles on an interval and show that even arbitrarily small repulsive two-particle…

Mathematical Physics · Physics 2018-01-04 Jens Bolte , Joachim Kerner

Few-body correlations often express the distinguishing characteristic features of a many-body system. This thesis studies such correlations within dilute Bose-Einstein condensates in the case of arbitrary negative s-wave scattering length.…

Soft Condensed Matter · Physics 2007-05-23 H. H. Sorensen

We extend the results of [Phys.Rev.Lett. 128 (2022) 18], where we argued that in the controlled environment of the Deep Inelastic Scattering experiments, Bose-Einstein correlation between gluons in a hadronic wave function can be accessed…

High Energy Physics - Phenomenology · Physics 2023-07-12 Alex Kovner , Ming Li , Vladimir V. Skokov