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Arbitrarily large ground state population is a general property of any ideal bose gas when conditions of degeneracy are satisfied; it occurs at any dimension D. For $D = 1$, the condensation is diffuse, at $D = 2$ it is a sort of…

凝聚态物理 · 物理学 2015-06-25 H. Perez Rojas

We study games with finitely many participants, each having finitely many choices. We consider the following categories of participants: (I) populations: sets of nonatomic agents, (II) atomic splittable players, (III) atomic non splittable…

最优化与控制 · 数学 2015-10-22 Sylvain Sorin , Cheng Wan

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…

数学物理 · 物理学 2009-11-07 J. Lauwers , A. Verbeure , V. A. Zagrebnov

At finite temperatures below the phase transition point, the Bose-Einstein condensation, the macroscopic occupation of a single quantum state by particles of integer spin, is not complete. In the language of superfluid helium, this means…

数学物理 · 物理学 2015-09-16 Dionisios Margetis

It is known that the competitive exclusion principle holds for a large kind of models involving several species competing for a single resource in an homogeneous environment. Various works indicate that the coexistence is possible in an…

偏微分方程分析 · 数学 2014-07-22 François Castella , Sten Madec , Yvan Lagadeuc

Recent results on effects of Bose-Einstein symmetrization in a system of independently produced particles are interpreted in terms of statistical physics. For a large class of distributions, the effective sizes of the system in momentum and…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Bialas , K. Zalewski

We study the non-equilibrium evolution of binary Bose-Einstein condensates in the presence of weak random potential with a Gaussian correlation function using the time-dependent perturbation theory. We apply this theory to construct a…

无序系统与神经网络 · 物理学 2021-12-28 Abdelaali Boudjemaa

We study the large deviations behavior of systems that admit a certain form of a product distribution, which is frequently encountered both in Physics and in various information system models. First, to fix ideas, we demonstrate a simple…

统计力学 · 物理学 2015-05-14 Neri Merhav , Yariv Kafri

We describe financial systems as condensates, similar to Bose-Einstein condensates, and calculate statistical distributions following from the model. The calculated distributions of investments into speculated financial assets are found…

统计力学 · 物理学 2008-12-10 Kestutis Staliunas

We propose a new theoretical formalism which describes the Bose Einstein condensation of weakly interacting bosons with finite life time interacting with a thermal bath. We show that if a quasi-thermal distribution function of particles is…

量子气体 · 物理学 2009-11-05 G. Malpuech , D. Solnyshkov

Open quantum systems can be systematically controlled by making changes to their environment. A well-known example is the spontaneous radiative decay of an electronically excited emitter, such as an atom or a molecule, which is…

量子气体 · 物理学 2021-10-27 Mario Vretenar , Chris Toebes , Jan Klaers

We study the photodissociation chemistry of a quantum degenerate gas of bosonic triatomic $ABC$ molecules, assuming two open rearrangement channels ($AB+C$ or $A+BC$). The equations of motion are equivalent to those of a parametric…

凝聚态物理 · 物理学 2009-11-07 M. G. Moore , A. Vardi

We examine the possibility of Bose-Einstein condensation in one-dimensional interacting Bose gas subjected to confining potentials of the form $V_{\rm ext}(x)=V_0(|x|/a)^\gamma$, in which $\gamma < 2$, by solving the Gross-Pitaevskii…

统计力学 · 物理学 2009-10-31 M. Bayindir , B. Tanatar , Z. Gedik

A theory of Bose-Einstein condensation (BEC) of light in a dye microcavity is developed. The photon polarization degeneracy and the interaction between dye molecules and photons in all of the cavity modes are taken into account. The theory…

量子气体 · 物理学 2013-08-20 D. N. Sob'yanin

We study the impact of spin-exchange collisions on the dynamics of Bose-Einstein condensation, by rapidly cooling a chromium multi-component Bose gas. Despite relatively strong spin-dependent interactions, the critical temperature for…

We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all but a finite number of particles condense…

统计力学 · 物理学 2012-01-09 Stefan Grosskinsky , Frank Redig , Kiamars Vafayi

Inelastic collisions occur in Bose-Einstein condensates, in some cases, producing particle loss in the system. Nevertheless, these processes have not been studied in the case when particles do not escape the trap. We show that such…

量子物理 · 物理学 2008-09-30 I. Fuentes-Schuller , P. Barberis-Blostein

The Kompaneets equation describes a field of photons exchanging energy by Compton scattering with the free electrons of a homogeneous, isotropic, non-relativistic, thermal plasma. This paper strives to advance our understanding of how this…

偏微分方程分析 · 数学 2015-12-23 C. David Levermore , Hailiang Liu , Robert L. Pego

A stable non ideal Bose system whose energy operator includes a perturbations depending on the square root of the number operator associated to the zero mode energy is analyzed, demonstrating that, in presence or absence of a gap in the one…

统计力学 · 物理学 2020-01-07 Marco Corgini

The achievement of Bose-Einstein condensation (BEC) in ultracold vapors of alkali atoms has given enormous impulse to the theoretical and experimental study of dilute atomic gases in condensed quantum states inside magnetic traps and…

数学物理 · 物理学 2017-11-21 Weizhu Bao