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We study phase transition of a nonequilibrium statistical-mechanical model, in which two degrees of freedom with different time scales separated from each other touch to their own heat bath. A general condition for finding anomalous…

Disordered Systems and Neural Networks · Physics 2008-07-30 C. H. Nakajima , K. Hukushima

We derive a simple system of equations to describe the magnetization relaxation of a molecular spin in weak interaction with a thermal bath for the whole temperature domain. Using this for the intermediate temperature domain where the…

Materials Science · Physics 2022-12-27 Le Tuan Anh Ho , Liviu Ungur , Liviu F. Chibotaru

The phase diagram of the Heisenberg ferromagnetic model in the presence of a magnetic random field (we have used bimodal distribution) of spin S=1/2 (quantum case) and $S=\infty $ (classical case) on a simple cubic lattice is studied within…

Statistical Mechanics · Physics 2011-10-24 Ricardo de Sousa , Douglas F. de Albuquerque , Alberto S. Arruda

A mean field argument is used to derive a master equation for systems simultaneously interacting with external fields and coupled environmental degrees of freedom. We prove that this master equation preserves positivity of the reduced…

Quantum Physics · Physics 2007-05-23 Joshua Wilkie , Murat Cetinbas

We investigate thermodynamic properties of a one-dimensional S=1/2 antiferromagnetic Heisenberg model coupled to a lattice distortion by a quantum Monte Carlo method. In particular we study how spin and lattice dimerize as a function of the…

Statistical Mechanics · Physics 2009-10-31 Hiroaki Onishi , Seiji Miyashita

In a $p$-spin interaction spherical spin-glass model both the spins and the couplings are allowed to change in the course of time. The spins are coupled to a heat bath with temperature $T$, while the coupling constants are coupled to a bath…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. E. Allahverdyan , Th. M. Nieuwenhuizen , D. B. Saakian

Dirac equation describes the dynamics of a relativistic spin-1/2 particle regarding its spatial motion and intrinsic degrees of freedom. Here we adopt the point of view that the spinors describe the state of a massive particle carrying two…

Quantum Physics · Physics 2015-08-04 Alex E. Bernardini , Salomon S. Mizrahi

We consider a spin chain of fermionic atoms in an optical lattice, interacting with each other by super-exchange interactions. We theoretically investigate the dissipative evolution of the spin chain when it is coupled by magnetic…

Quantum Gases · Physics 2018-07-23 M. Robert-de-Saint-Vincent , P. Pedri , B. Laburthe-Tolra

Redfield master equation was applied to study the dynamics of an ensemble of interacting pairs of unlike spins at room temperature. This spin quantum system is a workbench quantum model to analyze the relaxation dynamics of a heteronuclear…

Quantum Physics · Physics 2024-08-20 A. Consuelo-Leal , Hugo D. Fernández Sare , R. Auccaise

We propose a trapped-ion platform to simulate a reconfigurable spin-spin Hamiltonian related to quantum thermodynamic processes. Starting from an experimental model describing two trapped-ions under slightly off-resonant first sideband…

Quantum Physics · Physics 2020-07-01 P. U. Medina González , I. Ramos Prieto , B. M. Rodríguez-Lara

We study the non-equilibrium thermodynamics of a heat engine operating between two finite-sized reservoirs with well-defined temperatures. Within the linear response regime, it is found that the uniform temperature of the two reservoirs at…

Statistical Mechanics · Physics 2022-03-03 Hong Yuan , Yu-Han Ma , C. P. Sun

We study the reduced dynamics of open quantum spin chains of arbitrary length $N$ with nearest neighbour $XX$ interactions, immersed within an external constant magnetic field along the $z$ direction, whose end spins are weakly coupled to…

Quantum Physics · Physics 2021-09-22 Fabio Benatti , Roberto Floreanini , Laleh Memarzadeh

We consider a fermionic quantum system exchanging particles with an environment at a fixed temperature and study its reduced evolution by means of a Redfield-I equation with time-dependent (non-Markovian) coefficients. We find that the…

Mesoscale and Nanoscale Physics · Physics 2025-02-04 Lukas Litzba , Eric Kleinherbers , Jürgen König , Ralf Schützhold , Nikodem Szpak

Spin-Fermion systems which obtain their magnetic properties from a system of localized magnetic moments being coupled to conducting electrons are considered. The dynamical degrees of freedom are spin-$s$ operators of localized spins and…

Strongly Correlated Electrons · Physics 2015-05-19 N. Karchev

The increase in the resistivity with decreasing temperature followed by a drop by more than one order of magnitude is observed on the metallic side near the zero-magnetic-field metal-insulator transition in a strongly interacting…

We consider a two level system coupled to a thermal bath and we investigate the variation of energy transferred to the reservoir as a function of time. The physical quantity under investigation is the time-dependent quantum average power.…

Mesoscale and Nanoscale Physics · Physics 2016-06-24 Matteo Carrega , Paolo Solinas , Alessandro Braggio , Maura Sassetti

We study the out-of-equilibrium spinodal-like dynamics of three-dimensional $q$-state Potts systems driven across their thermal first-order transition in the thermodynamic limit, by a relaxational (heat-bath) dynamics. During the evolution,…

Statistical Mechanics · Physics 2026-03-17 Andrea Pelissetto , Davide Rossini , Ettore Vicari

The mixed spin-1/2 Ising model and spin-1 Blume-Capel model in an hexagonal nanowire structure under the presence of crystal field is considered. The free energy is obtained through the transfer matrix technique, which is solved…

Statistical Mechanics · Physics 2022-03-02 R. A. Pimenta , O. Rojas , S. M. de Souza

Higher spin Dirac operators on both the continuum sphere($S^2$) and its fuzzy analog($S^2_F$) come paired with anticommuting chirality operators. A consequence of this is seen in the fermion-like spectrum of these operators which is…

High Energy Physics - Theory · Physics 2010-10-28 Sanatan Digal , Pramod Padmanabhan

We consider thermalization of a microscopic quantum system by interaction with a thermal bath. Our interest is the minimal size the bath can have while still being able to thermalize the system. Within a specific thermalization scheme we…

Statistical Mechanics · Physics 2018-02-22 Stephan Kleinbölting , Rochus Klesse