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We develop our novel model of cosmology based on the Bose-Einstein condensation. This model unifies the Dark Energy and the Dark Matter, and predicts multiple collapse of condensation, followed by the final acceleration regime of cosmic…

天体物理学 · 物理学 2009-06-23 Takeshi Fukuyama , Masahiro Morikawa , Takayuki Tatekawa

We consider a boson gas on the stretched horizon of the Schwartzschild and Kerr black holes. It is shown that the gas is in a Bose-Einstein condensed state with the Hawking temperature $T_c=T_H$ if the particle number of the system be equal…

广义相对论与量子宇宙学 · 物理学 2015-05-30 Somayeh Zare , Zahra Raissi , Hosein Mohammadzadeh , Behrouz Mirza

We study a three-mode Hamiltonian modelling a heteronuclear molecular Bose--Einstein condensate. Two modes are associated with two distinguishable atomic constituents, which can combine to form a molecule represented by the third mode.…

The convergence to equilibrium for renormalised solutions to nonlinear reaction-diffusion systems is studied. The considered reaction-diffusion systems arise from chemical reaction networks with mass action kinetics and satisfy the complex…

偏微分方程分析 · 数学 2018-05-09 Klemens Fellner , Bao Q. Tang

A detailed analysis of the growth of a BEC is given, based on quantum kinetic theory, in which we take account of the evolution of the occupations of lower trap levels, and of the full Bose-Einstein formula for the occupations of higher…

凝聚态物理 · 物理学 2009-10-31 M. D. Lee , C. W. Gardiner

We introduce dimensional perturbation techniques to Bose-Einstein condensation of inhomogeneous alkali gases (BEC). The perturbation parameter is delta=1/kappa, where kappa depends on the effective dimensionality of the condensate and on…

凝聚态物理 · 物理学 2009-11-07 B. A. McKinney , D. K. Watson

A gauge-invariant C*-system is obtained as the fixed point subalgebra of the infinite tensor product of full matrix algebras under the tensor product unitary action of a compact group. In the paper, thermodynamics is studied on such systems…

算子代数 · 数学 2009-11-10 N. Akiho , F. Hiai , D. Petz

We formulate the problem of approach to equilibrium in algebraic quantum statistical mechanics and study some of its structural aspects, focusing on the relation between the zeroth law of thermodynamics (approach to equilibrium) and the…

数学物理 · 物理学 2024-09-25 Vojkan Jakšić , Claude-Alain Pillet , Clément Tauber

A degenerate fourth-order parabolic equation modeling condensation phenomena related to Bose-Einstein particles is analyzed. The model is a Fokker-Planck-type approximation of the Boltzmann-Nordheim equation, only keeping the leading order…

偏微分方程分析 · 数学 2015-06-18 Ansgar Jüngel , Michael Winkler

We experimentally and numerically investigate thermalization processes of a trapped $^{87}$Rb Bose gas, initially prepared in a non-equilibrium state through partial Bragg diffraction of a Bose-Einstein condensate (BEC). The system evolves…

量子气体 · 物理学 2018-07-18 D. J. Brown , A. V. H. McPhail , D. H. White , D. Baillie , S. K. Ruddell , M. D. Hoogerland

We study the Bose-Einstein condensation (BEC) for a relativistic ideal gas of bosons. In the framework of canonical thermal field theory, we analyze the role of particles and anti-particles in the determination of BEC transition…

数学物理 · 物理学 2010-11-11 Luca Salasnich

We present a systematic description of the structure of Bose-Einstein condensation (BEC) in the free Bose gas from the viewpoint of the correspondence between the operator-algebraic formulation based on the resolvent algebra and the…

数学物理 · 物理学 2026-04-09 Yoshitsugu Sekine

We present a novel experimental approach to Bose-Einstein condensation by increasing the particle number of the system at almost constant temperature. In particular the emergence of a new condensate is observed in multi-component F=1 spinor…

软凝聚态物质 · 物理学 2009-11-10 M. Erhard , H. Schmaljohann , J. Kronjäger , K. Bongs , K. Sengstock

We discuss the phenomenon of Bose-Einstein condensation of an ideal non-relativistic Bose gas in an arbitrarily shaped cavity. The influence of the finite extension of the cavity on all thermodynamical quantities, especially on the critical…

统计力学 · 物理学 2009-10-31 Klaus Kirsten , David J. Toms

We review and extend the theory of the dynamics of Bose-Einstein condensation in weakly interacting atomic gases. We present in a unified way both the semiclassical theory as well as the full quantum theory. This is achieved by deriving a…

统计力学 · 物理学 2007-05-23 H. T. C. Stoof

We obtain estimates on the exponential rate of decay of the relative entropy from equilibrium for Markov processes with a non-local infinitesimal generator. We adapt some of the ideas coming from the Bakry-Emery approach to this setting. In…

概率论 · 数学 2014-02-14 Paolo Dai Pra , Gustavo Posta

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

数学物理 · 物理学 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

We consider composite bosons (cobosons) comprised of two elementary particles, fermions or bosons, in an entangled state. First, we show that the effective number of cobosons implies the level of correlation between the two constituent…

量子物理 · 物理学 2015-11-05 Su-Yong Lee , Jayne Thompson , Sadegh Raeisi , Pawel Kurzynski , Dagomir Kaszlikowski

We investigate the macroscopic quantum tunneling of the attractive Bose-Einstein condensate. Within the effective Lagrangian framework, we find bounce solutions and explicitly calculate the decay rate of the condensate trapped in a…

凝聚态物理 · 物理学 2019-08-17 Yukinori Yasui , Takayuki Takaai , Takayoshi Ootsuka

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