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Using a specially tuned mean-field Bose gas as a reference system, we establish a positive lower bound on the condensate density for continuous Bose systems with superstable two-body interactions and a finite gap in the one-particle…

Mathematical Physics · Physics 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

The nonequilibrium dynamics of the chiral phase transition expected during the expansion of the quark-qluon plasma produced in a high energy hadron or heavy ion collision is studied in the O(4) linear sigma model to leading order in a large…

High Energy Physics - Phenomenology · Physics 2009-10-28 Fred Cooper , Yuval Kluger , Emil Mottola , Juan Pablo Paz

We study pion condensation and the phase structure in a two-flavor Nambu-Jona-Lasinio model in the presence of baryon chemical potential $\mu$ and isospin chemical potential $\mu_I$at zero and finite temperature. There is a competition…

High Energy Physics - Phenomenology · Physics 2009-12-02 Jens O. Andersen , Lars Kyllingstad

Dynamics of the double-well Bose-Einstein condensate subject to energy dissipation is studied by solving a reduced one-dimensional time-dependent Gross-Pitaevskii equation numerically. We first reproduce the phase space diagram of the…

Quantum Gases · Physics 2013-04-23 Hanlei Zheng , Yajiang Hao , Qiang Gu

We investigate the Bose-Einstein condensation patterns, the critical and multicritical behaviors of three-dimensional mixtures of bosonic gases with short-range density-density interactions. These systems have a global U(1)+U(1) symmetry,…

Quantum Gases · Physics 2016-04-06 Giacomo Ceccarelli , Jacopo Nespolo , Andrea Pelissetto , Ettore Vicari

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

For an antiferromagnetic spin-1 Bose-Einstein condensate under an applied uniform magnetic field, its ground state $(\psi_1,\psi_0,\psi_{-1})$ undergoes a phase transition from a two-component state ($\psi_0 \equiv 0$) to a three-component…

Mathematical Physics · Physics 2025-12-13 Liren Lin , I-Liang Chern

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 have investigated the phase transition and disoriented chiral condensate domain formation in linear sigma model. Solving the Langevin equation for the linear $\sigma$ model, we have shown that for zero mass pions the fields undergo phase…

High Energy Physics - Phenomenology · Physics 2009-11-07 A. K. Chaudhuri

We discuss Bose-Einstein condensation in a trapped gas of bosonic particles interacting dominantly via dipole-dipole forces. We find that in this case the mean-field interparticle interaction and, hence, the stability diagram are governed…

Condensed Matter · Physics 2009-10-31 L. Santos , G. V. Shlyapnikov , P. Zoller , M. Lewenstein

Collisions of cosmic ray particles with ultra-high initial energies with nuclei in the atmosphere open a wide room for appearing of the novel dynamical features for multiparticle production processes. In particular, the pion-lasing behavior…

High Energy Physics - Phenomenology · Physics 2024-12-24 V. A. Okorokov

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of Bose-Einstein condensation in the…

Mathematical Physics · Physics 2022-11-16 Giulia Basti , Cristina Caraci , Serena Cenatiempo

The miscibility of two interacting quantum systems is an important testing ground for the understanding of complex quantum systems. Two-component Bose-Einstein condensates enable the investigation of this scenario in a particularly well…

We investigate the properties of the photon Bose-Einstein condensate in the limit of small mode spacing. Alongside the well-known threshold of the phase transition at large mode spacings, we find an emergence of a second threshold for…

Quantum Gases · Physics 2025-03-05 Andris Erglis , Milan Radonjić , Stefan Yoshi Buhmann

Due to their remarkable properties, systems that exhibit self-organization of their components resulting from intrinsic microscopic activity have been extensively studied in the last two decades. In a generic class of active matter, the…

Statistical Mechanics · Physics 2019-07-24 Ramin Golestanian

A Bose-Einstein condensate in a double-well potential features stationary solutions even for attractive contact interaction as long as the particle number and therefore the interaction strength do not exceed a certain limit. Introducing…

Quantum Physics · Physics 2015-03-31 Daniel Dizdarevic , Dennis Dast , Daniel Haag , Jörg Main , Holger Cartarius , Günter Wunner

The process of condensation in the system of scalar Bosons with weak $\lambda \phi^4$ interaction is considered. Boltzmann kinetic equation is solved numerically. Bose condensation proceeds in two stages: At the first stage condensate is…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. Semikoz , I. Tkachev

We study the build up of quantum coherence between two Bose-Einstein condensates which are initially in mixed states. We consider in detail the two cases where each condensate is initially in a thermal or a Poisson distribution of atom…

Quantum Physics · Physics 2009-10-30 R. Graham , T. Wong , M. J. Collett , S. M. Tan , D. F. Walls

Using numerical techniques, we study the miscible-immiscible quantum phase transition in a linearly coupled binary Bose-Hubbard model Hamiltonian that can describe low-energy properties of a two-component Bose-Einstein condensate in optical…

Quantum Gases · Physics 2015-06-19 Fei Zhan , Jacopo Sabbatini , Matthew J. Davis , Ian P. McCulloch
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