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In this paper, an improved quasi-particle model is presented. Unlike the previous approach of establishing quasi-particle model, we introduce a classical background field (it is allowed to depend on the temperature) to deal with the…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jing Cao , Yu Jiang , Wei-min Sun , Hong-shi Zong

A continuous infinite system of point particles with strong superstable interaction is considered in the framework of classical statistical mechanics. The family of approximated correlation functions is determined in such a way, that they…

Mathematical Physics · Physics 2010-07-27 Sergey Petrenko , Alexei Rebenko , Maksym Tertychnyi

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is…

Statistical Mechanics · Physics 2016-10-05 P. E. G. Assis

We formulate a generalized self-consistent stochastic quantum kinetic theory for finite-temperature ultracold Bose gases interacting via a generic long-range interaction, applicable to a broad range of systems, by means of Keldysh…

Quantum Gases · Physics 2025-07-28 Nick P. Proukakis , Gerasimos Rigopoulos , Alex Soto

The one-loop effective potential for non-relativistic bosons with a delta function repulsive potential is calculated for a given chemical potential using functional methods. After renormalization and at zero temperature it reproduces the…

Statistical Mechanics · Physics 2009-10-30 T. Haugset , H. Haugerud , F. Ravndal

A weakly interacting Bose gas on a simple cubic lattice is considered. We prove the existence of the standard or zero-mode Bose condensation at sufficiently low temperature. This result is valid for sufficiently small interaction potential…

Quantum Gases · Physics 2018-06-06 D. P. Sankovich

We review our version of the classical field approximation to the dynamics of a finite temperature Bose gas. In the case of a periodic box potential, we investigate the role of the high momentum cut-off, essential in the method. In…

Condensed Matter · Physics 2007-05-23 H. Schmidt , K. Goral , F. Floegel , M. Gajda , K. Rzazewski

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 present the rigorous microscopic quantum theory of the interaction of ultracold Bose and Fermi gases with the electromagnetic field of vacuum and laser photons. The main attention has been paid to the consistent consideration of…

Quantum Physics · Physics 2007-05-23 K. V. Krutitsky , F. Burgbacher , J. Audretsch

We study the mechanical stability of the weakly interacting Bose gas with attractive interactions, and construct a unified picture of the collapse valid from the low temperature condensed region to the high temperature classical regime. As…

Statistical Mechanics · Physics 2009-10-31 Erich J. Mueller , Gordon Baym

Damping in a dilute Bose gas is investigated using a mean-field approximation which describes the coupled oscillations of condensate and non-condensate atoms in the collisionless regime. Explicit results for both Landau and Beliaev damping…

Condensed Matter · Physics 2009-10-30 S. Giorgini

The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate…

Analysis of PDEs · Mathematics 2021-12-28 Miguel Escobedo

The classical region of a Bose gas consists of all single-particle modes that have a high average occupation and are well-described by a classical field. Highly-occupied modes only occur in massive Bose gases at ultra-cold temperatures, in…

Other Condensed Matter · Physics 2015-06-25 P. Blair Blakie , Matthew J. Davis

The weakly interacting trapped Bose gases have been customarily described using the mean-field approximation in the form of the Gross-Pitaevskii equation. The mean-field approximation, however, has certain limitations, in particular it can…

Atomic Physics · Physics 2009-11-11 H. H. Sorensen , D. V. Fedorov , A. S. Jensen

We prove that for a combined system of classical and quantum particles, it is possible to write a dynamics for the classical particles that incorporates in a natural way the Boltzmann equilibrium population for the quantum subsystem. In…

Other Condensed Matter · Physics 2010-09-01 J. L. Alonso , A. Castro , P. Echenique , V. Polo , A. Rubio , D. Zueco

We present a new method of calculating the distribution function and fluctuations for a Bose-Einstein condensate (BEC) of N interacting atoms. The present formulation combines our previous master equation and canonical ensemble…

Statistical Mechanics · Physics 2009-11-11 Anatoly A. Svidzinsky , Marlan O. Scully

Some thermodynamic properties of weakly interacting Bose systems are derived from dimensional and heuristic arguments and thermodynamic relations, without resorting to statistical mechanics.

Statistical Mechanics · Physics 2009-11-11 Thomas Nattermann

A Quantum Field Theory formulation of Bose-Einstein Correlations is given. It contains as a special case the classical current approach. It is shown that the particle-antiparticle correlations are a general feature of Bose-Einstein…

High Energy Physics - Phenomenology · Physics 2009-10-28 Leonid V. Razumov , R. M. Weiner

By generalizing the quantum weak measurement protocol to the case of quantum fields, we show that weak measurements probe an effective classical background field that describes the average field configuration in the spacetime region between…

Quantum Physics · Physics 2014-03-24 Justin Dressel , Konstantin Y. Bliokh , Franco Nori
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