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A recently proposed method for the characterization and analysis of local equilibrium states in relativistic quantum field theory is applied to a simple model. Within this model states are identified which are locally (but not globally) in…

高能物理 - 理论 · 物理学 2009-11-10 Detlev Buchholz

In the present note, we discuss a simple example of a macroscopic quantum many-body system in which the approach to thermal equilibrium from an arbitrary initial state in the microcanonical energy shell is proved without relying on any…

统计力学 · 物理学 2024-04-09 Hal Tasaki

Within the framework of relativistic quantum field theory, a novel method is established which allows to distinguish non-equilibrium states admitting locally a thermodynamic interpretation. The basic idea is to compare these states with…

高能物理 - 唯象学 · 物理学 2015-06-25 Detlev Buchholz , Izumi Ojima , Hansjoerg Roos

We study the thermodynamics of quantum particles with long-range interactions at T=0. Specifically, we generalize the Hamiltonian Mean Field (HMF) model to the case of fermions and bosons. In the case of fermions, we consider the…

统计力学 · 物理学 2015-12-01 Pierre-Henri Chavanis

A quantum model is considered for $N$ bosons populating two orthogonal single-particle modes with tunable energy separation in the presence of flavour-changing contact interaction. The quantum ground state is well approximated as a coherent…

量子气体 · 物理学 2022-09-01 Andreas Hemmerich

The phenomenon of the so called Fermion condensation, a phase transition analogous to Bose condensation but for Fermions, postulated in the past to occur in systems with strong momentum dependent forces, is reanalysed in a model with…

凝聚态物理 · 物理学 2009-10-28 J. Dukelsky , V. A. Khodel , P. Schuck , V. R. Shaginyan

Using the micro-canonical picture of transport -- a framework ideally suited to describe the dynamics of closed quantum systems such as ultra-cold atom experiments -- we show that the exact dynamics of non-interacting fermions and bosons…

量子气体 · 物理学 2012-04-11 Chih-Chun Chien , Michael Zwolak , Massimiliano Di Ventra

A Bose-Einstein condensate of atoms, trapped in an axially symmetric harmonic potential, is considered. By averaging the spatial density along the symmetry direction over a length that preserves the aspect ratio, the system may be mapped on…

凝聚态物理 · 物理学 2007-05-23 R. K. Bhaduri , M. V. N. Murthy

The thermodynamic properties of heated nuclear matter are explored using an exactly solvable canonical ensemble model. This model reduces to the results of an ideal Fermi gas at low temperatures. At higher temperatures, the fragmentation of…

核理论 · 物理学 2009-10-28 K. C. Chase , A. Z. Mekjian

We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective…

统计力学 · 物理学 2023-03-06 M. Coppola , D. Karevski

The thermodynamics of ideal gas on the noncommutative geometry in the coherent state formalism is investigated. We first evaluate the statistical interparticle potential and see that there are residual "attraction (repulsion) potential"…

高能物理 - 理论 · 物理学 2009-01-16 Wung-Hong Huang , Kuo-Wei Huang

Taking advantage of the known exact mapping of the one-dimensional Hard Core Bose (HCB) fluid onto a non-interacting spinless fermion gas, we examine in full detail a thought experiment on cold atoms confined in a quasi-one-dimensional…

量子气体 · 物理学 2020-10-08 Manuele Tettamanti , Sergio L. Cacciatori , Alberto Parola

We examine the weakly interacting atoms in an ultracold Fermi gas leading to a state of macroscopic coherence, from a theoretical perspective. It has been shown that this state can be described as a fermionic coherent state. These coherent…

量子物理 · 物理学 2013-04-05 Arnab Ghosh , Sudarson Sekhar Sinha , Deb Shankar Ray

We study the thermodynamics of ideal Bose gas as well as the transport properties of non interacting bosons and fermions in a one dimensional quasi-periodic potential, namely Aubry-Andr\'e (AA) model at finite temperature. For bosons in…

量子气体 · 物理学 2018-05-08 Nilanjan Roy , S. Sinha

A quantum molecular model for fermions is investigated which works with antisymmetrized many-body states composed of localized single-particle wave packets. The application to the description of atomic nuclei and collisions between them…

核理论 · 物理学 2009-10-30 H. Feldmeier , J. Schnack

We analyze the finite-temperature phase diagram of the boson-fermion-Hubbard model with Feshbach converting interaction, using the coherent-state path-integral method. We show that depending on the position of the bosonic band, this type of…

量子气体 · 物理学 2018-12-13 A. S. Sajna , R. Micnas

The phenomenon of Bose-like condensation, the continuous change of the dimensionality of the particle distribution as a consequence of freezing out of one or more degrees of freedom in the low particle density limit, is investigated…

统计力学 · 物理学 2009-10-31 Dragoş-Victor Anghel

We study numerically the finite temperature and frequency mobility of a particle coupled by a local interaction to a system of spinless fermions in one dimension. We find that when the model is integrable (particle mass equal to the mass of…

凝聚态物理 · 物理学 2009-10-28 H. Castella , X. Zotos

Exact and approximate expressions for thermodynamic characteristics of heated matter, which consists of particles with finite mass-widths, are constructed. They are expressed in terms of Fermi/Bose distributions and spectral functions,…

核理论 · 物理学 2008-11-26 D. N. Voskresensky

We discuss the nature of phase transitions in the fermionic King model which describes tidally truncated quantum self-gravitating systems. This distribution function takes into account the escape of high energy particles and has a finite…

宇宙学与河外天体物理 · 物理学 2016-07-12 Pierre-Henri Chavanis , Mohammed Lemou , Florian Méhats
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