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In this work, we present a compact analytical approximation for the quantum partition function of systems composed of quantum oscillators. The proposed formula is general and applicable to an arbitrary number of oscillators described by a…

统计力学 · 物理学 2025-07-08 Michel Caffarel

We consider quantum nonlinear many-body systems with dissipation described within the Caldeira-Leggett model, i.e., by a nonlocal action in the path integral for the density matrix. Approximate classical-like formulas for thermodynamic…

统计力学 · 物理学 2009-10-31 A. Cuccoli , A. Fubini , V. Tognetti , R. Vaia

Based on the thermodynamic perturbation theory (TPT) and the Random phase approximation (RPA), we present a statistical theory of solutions of electrically neutral soft molecules, every of which is modelled as a set of sites that interact…

软凝聚态物质 · 物理学 2019-03-12 Yu. A. Budkov

Based on the view that thermal equilibrium should be characterized through macroscopic observations, we develop a general theory about typicality of thermal equilibrium and the approach to thermal equilibrium in macroscopic quantum systems.…

统计力学 · 物理学 2018-08-02 Hal Tasaki

The hydrodynamic interpretation of quantum mechanics treats a system of particles in an effective manner. In this work, we investigate squeezed coherent states within the hydrodynamic interpretation. The Hamiltonian operator in question is…

量子物理 · 物理学 2022-05-24 Nezihe Uzun

The nearest-neighbor quantum-antiferromagnetic (AF) Heisenberg model for spin 1/2 on a two-dimensional square lattice is studied in the auxiliary-fermion representation. Expressing spin operators by canonical fermionic particles requires a…

强关联电子 · 物理学 2009-11-10 Jan Brinckmann , Peter Woelfle

We explore the quasiparticle model at finite chemical potential related to Ru-Keng Su's distinguished contributions to the topic. Besides, we discuss recent developments in the model, and in particular, one argues that the effective mass of…

高能物理 - 唯象学 · 物理学 2023-01-18 Wei-Liang Qian , Hong-Hao Ma , Shao-Yu Yin , Ping Wang

We propose a new method of solving a class of mean-field (MF) models, which is based on the Maximum Entropy (MaxEnt) principle with additional constraints included. Next, we show equivalence of our method when applied to the Gutzwiller…

强关联电子 · 物理学 2011-05-19 Jakub Jȩdrak , Jan Kaczmarczyk , Jozef Spałek

We have developed a theory for inhomogeneous systems that allows for incorporation of effects of mesoscopic fluctuations. A hierarchy of equations relating the correlation and direct correlation functions for the local excess $\phi({\bf…

统计力学 · 物理学 2016-09-21 Alina Ciach , Wojciech T. Gozdz

The second-order Green's function method (GF2) was shown recently to be an accurate self-consistent approach for electronic structure of correlated systems since the self-energy accounts for both the weak and some of the strong correlation.…

化学物理 · 物理学 2016-03-31 Daniel Neuhauser , Roi Baer , Dominika Zgid

An unified thermodynamical framework based in the use of a generalized Massieu-Planck thermodynamic potential is proposed and a new formulation of Boltzmann-Gibbs Statistical Mechanics is established. Under this philosophy a generalization…

数学物理 · 物理学 2007-05-23 V. Garcia-Morales , J. Pellicer

A quantum-field approach for describing many-particle Fermi systems at finite temperatures and with spontaneously broken symmetry has been proposed. A generalized model of self-consistent field (SCF), which allows one to describe the states…

统计力学 · 物理学 2013-03-21 Yu. M. Poluektov

We discuss the Hubbard model in an applied magnetic field and analyze the properties of neutral spin-1/2 fermions within the so-called statistically consistent Gutzwiller approximation (SGA). The magnetization curve reproduces in a…

强关联电子 · 物理学 2014-07-28 Marcin M. Wysokinski , Jozef Spalek

We formulate a canonical quantization of Equilibrium Thermodynamics by applying Dirac's theory of constrained systems. Thermodynamic variables are treated as conjugate pairs of coordinates and momenta, allowing extensive and intensive…

We present a novel approach to kinetic theory modeling enabling the simulation of a generic, real gas presented by its corresponding equation of state. The model is based on mass, momentum and energy conservation, and unlike the lattice…

流体动力学 · 物理学 2020-02-25 Ehsan Reyhanian , Benedikt Dorschner , Ilya Karlin

Semilocal density functionals for the exchange-correlation energy are needed for large electronic systems. The Tao-Perdew-Staroverov-Scuseria (TPSS) meta-generalized gradient approximation (meta-GGA) is semilocal and usefully accurate, but…

Self-Consistent Quasi-Particle RPA (SCQRPA) is for the first time applied to a more level pairing case. Various filling situations and values for the coupling constant are considered. Very encouraging results in comparison with the exact…

核理论 · 物理学 2009-11-07 A. Rabhi , R. Bennaceur , G. Chanfray , P. Schuck

Many-particle systems pose commonly known computational challenges in quantum theory. The obstacles arise from the difficulty in finding sets of eigenvalues and eigenvectors of the underlying Hamiltonian while enforcing fermion or boson…

量子物理 · 物理学 2025-02-07 Josep Batle , Boris A. Malomed

The thermodynamic consistency of quasiparticle boson system with effective mass $m^*$ and zero chemical potential is studied. We take the quasiparticle gluon plasma model as a toy model. The failure of previous treatments based on…

核理论 · 物理学 2014-11-18 Shaoyu Yin , Ru-Keng Su

We consider conditions under which an isolated quantum system approaches a microcanonical equilibrium state. A key component is the eigenstate thermalisation hypothesis, which proposes that all energy eigenstates appear thermal. We…

量子物理 · 物理学 2021-09-01 Joe Dunlop , Oliver Cohen , Anthony J. Short