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The behavior of a Bose-Einstein ideal gas of particles in a three dimensional space in the presence of a uniform field, such as gravity, and of contact interaction, describing the presence of one impurity, is investigated. It is shown that…

统计力学 · 物理学 2007-05-23 Roberto Soldati , Alberto Zannoni

In this paper, we show two kinds of entangled many body systems with special statistic properties. Firstly, an entangled fermions system with a pairwise entanglement between every two particles in the lowest energy energy level obeys the…

统计力学 · 物理学 2015-07-03 Hua Bi Zeng

We derive the fundamental thermodynamic equation for Fermi-Dirac and Bose-Einstein quantum gases, which contains the first order contribution due to the quantum nature of the gas particles. Then, we analyze the fundamental equation in the…

广义相对论与量子宇宙学 · 物理学 2024-03-22 Sasha A. Zaldivar , Hernando Quevedo

The statistical distribution function of anyon is used to find the eighth viral coefficient in the high-temperature limit and the equation of state in the low-temperature limit. The perturbative results indicate that the thermodynamic…

统计力学 · 物理学 2008-11-26 Wung-Hong Huang

We calculate and discuss the effects on the thermodynamic properties of a 3D Bose gas caused by a gap $\Delta$ in the energy of the particles constituting the gas that without the gap behaves like an ideal Bose gas. Explicit formulae with…

量子气体 · 物理学 2016-05-17 M. A. Solís

A quantum dynamical model of two interacting spins, with chaotic and regular components, is investigated using a finite two-particles symmetrized basis. Chaotic eigenstates give rise to an equilibrium occupation number distribution in close…

chao-dyn · 物理学 2019-08-17 F. Borgonovi , I. Guarneri , F. M. Izrailev , G. Casati

We perform a multimode treatment of spin squeezing induced by interactions in atomic condensates, and we show that, at finite temperature, the maximum spin squeezing has a finite limit when the atom number $N\to \infty$ at fixed density and…

量子物理 · 物理学 2015-06-03 Alice Sinatra , Emilia Witkowska , Yvan Castin

This paper establishes and tests procedures which can determine the electron energy gap of the high-temperature superconductors using the $t\!-\!J$ model with spinon and holon quasiparticles obeying fractional statistics. A simpler problem…

凝聚态物理 · 物理学 2009-10-22 J. L. Levy , R. B. Laughlin

A principle of hierarchical entropy maximization is proposed for generalized superstatistical systems, which are characterized by the existence of three levels of dynamics. If a generalized superstatistical system comprises a set of…

统计力学 · 物理学 2012-06-22 Denis Nikolaevich Sob'yanin

We overwiev the properties of a quantum gas of particles with the intermediate statistics defined by Haldane. Although this statistics has no direct connection to the symmetry of the multiparticle wave function, the statistical distribution…

强关联电子 · 物理学 2007-05-23 Krzysztof Byczuk , Jozef Spalek , Geoffrey Joyce , Sarben Sarkar

We consider a system of $N$ non-crossing Brownian particles in one dimension. We find the exact rate function that describes the long-time large deviation statistics of their occupation fraction in a finite interval in space. Remarkably, we…

统计力学 · 物理学 2023-06-28 Soheli Mukherjee , Naftali R. Smith

We study ideal Bose gas upon two scale-free structures with identical degree distribution. Energy spectra belonging to tight-binding Hamiltonian are exactly solved and the related spectral dimensions of $G_1$ and $ G_2$ are obtained as…

量子气体 · 物理学 2017-10-31 Pinchen Xie , Zhongzhi Zhang , Bo Wu

We study the Bose-Einstein condensation of an interacting gas with attractive interaction confined in a harmonic trap using a semiclassical two-fluid mean-field model. The condensed state is described by converged numerical solution of the…

软凝聚态物质 · 物理学 2009-10-31 Sadhan K. Adhikari

We consider a gas of weakly interacting bosons in three dimensions subject to an external potential in the mean field regime. Assuming that the initial state of our system is a product state, we show that in the trace topology of one-body…

数学物理 · 物理学 2024-05-01 Charlotte Dietze , Jinyeop Lee

The time which a diffusing particle spends in a certain region of space is known as the occupation time, or the residence time. Recently the joint occupation time statistics of an ensemble of non-interacting particles was addressed using…

统计力学 · 物理学 2019-05-07 Tal Agranov , P. L. Krapivsky , Baruch Meerson

We consider a realistic bosonic N-particle model with unitary interactions relevant for Efimov physics. Using quantum Monte Carlo methods, we find that the critical temperature for Bose-Einstein condensation is decreased with respect to the…

量子气体 · 物理学 2016-11-23 Tommaso Comparin , Werner Krauth

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

We prove that the complex Euclidean field theory with local quartic self-interaction in two dimensions arises as a limit of an interacting Bose gas at positive temperature, when the density of the gas becomes large and the range of the…

数学物理 · 物理学 2023-01-10 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

A field theory with generalized statistics in one space dimension is introduced. The statistics enters the scene through the coupling of the matter fields to a statistical gauge field, as it happens in the Chern-Simons theory in two…

凝聚态物理 · 物理学 2009-10-28 Silvio J. Rabello

The approach of an ideal gas to equilibrium is simulated through a generalization of the Ehrenfest ball-and-box model. In the present model, the interior of each box is discretized, {\it i.e.}, balls/particles live in cells whose occupation…

统计力学 · 物理学 2009-11-10 S. Prestipino
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