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Related papers: One-dimensional Dirac oscillator in a thermal bath

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The evaluation of the specific heat of an open, damped quantum system is a subtle issue. One possible route is based on the thermodynamic partition function which is the ratio of the partition functions of system plus bath and of the bath…

Quantum Physics · Physics 2009-06-10 Gert-Ludwig Ingold , Peter Hänggi , Peter Talkner

Conducting materials typically exhibit either diffusive or ballistic charge transport. However, when electron-electron interactions dominate, a hydrodynamic regime with viscous charge flow emerges (1-13). More stringent conditions…

We study the dissipative dynamics of a harmonic oscillator which couples linearly through its position and its momentum to two independent heat baths at the same temperature. We argue that this model describes a large spin in a ferromagnet.…

Statistical Mechanics · Physics 2009-11-11 Heiner Kohler , Fernando Sols

Self-organization and nonequilibrium phase transitions are well known to occur in two- and three- dimensional dissipative systems. Here, instead, we provide numerical evidence that these phenomena also occur in a one-dimensional Hamiltonian…

Statistical Mechanics · Physics 2017-01-31 Jiao Wang , Giulio Casati

When an open quantum system is driven by an external time-dependent force, the coupling of the driving to the central system is usually included whereas the impact of the driving field on the bath is neglected. We investigate the effect of…

Statistical Mechanics · Physics 2016-09-30 Joscha Reichert , Peter Nalbach , Michael Thorwart

We study the dissipative quantum harmonic oscillator with general non-thermal preparations of the harmonic oscillator bath. The focus is on equilibration of the oscillator in the long-time limit and the additional requirements for…

Quantum Physics · Physics 2013-01-25 D. Pagel , A. Alvermann , H. Fehske

A free particle coupled to a heat bath can exhibit a number of thermodynamic anomalies like a negative specific heat or reentrant classicality. These low-temperature phenomena are expected to be modified at very low temperatures where…

Statistical Mechanics · Physics 2014-04-11 Robert Adamietz , Gert-Ludwig Ingold , Ulrich Weiss

We discuss the concept and realization of a heat bath in solid state quantum systems. First we demonstrate that, unlike a true resistor, a finite one-dimensional Josephson junction array or analogously a transmission line with non-vanishing…

Quantum Physics · Physics 2024-05-24 Jukka P. Pekola , Bayan Karimi

In this article an intertwining operator is constructed which transforms the harmonic oscillator to the Dirac operator (the first order derivative operator). We give also the explicit solutions to the heat and wave equation associated to…

Mathematical Physics · Physics 2012-09-26 Ahmedou Yahya ould Mohameden , Mohamed Vall Ould Moustapha

The dynamic heat transfer between two half-spaces separated by a vacuum gap due to coupling of their surface modes is modelled using the theory that describes the dynamic energy transfer between two coupled harmonic oscillators each…

Mesoscale and Nanoscale Physics · Physics 2018-07-10 Karthik Sasihithlu , Girish Agarwal

We analyze the stability of a gyroscopic oscillator interacting with a finite- and infinite-dimensional heat bath in both the classical and quantum cases. We consider a finite gyroscopic oscillator model of a particle in a magnetic field…

Statistical Mechanics · Physics 2007-05-23 Anthony M. Bloch , Patrick Hagerty , Alberto G. Rojo , Michael I. Weinstein

We report on numerical simulations of the dynamics of a test particle coupled to competing Boltzmann heat baths of finite size. After discussing some features of the single bath case, we show that the presence of two heat baths further…

Quantum Physics · Physics 2015-05-18 Qun Wei , S. Taylor Smith , Roberto Onofrio

Recently, model systems with quadratic Hamiltonians and time-dependent interactions were studied by Briegel and Popescu and by Galve et al. in order to consider the possibility of both quantum refrigeration in enzymes [Proc. R. Soc. 469…

Quantum Physics · Physics 2015-07-10 Sashwin Sewran , Konstantin G. Zloshchastiev , Alessandro Sergi

The exact master equation for a harmonic oscillator coupled to a heat bath, derived recently by Hu, Paz and Zhang, is simplified by taking the weak-coupling, late-time limit. The unique time-independent solution to this simplified master…

High Energy Physics - Theory · Physics 2007-05-23 J. R. Anglin

This paper is about quantum heat defined as the change in energy of a bath during a process. The presentation takes into account recent developments in classical strong-coupling thermodynamics, and addresses a version of quantum heat which…

Statistical Mechanics · Physics 2018-06-13 Erik Aurell

We present the first experimental microwave realization of the one-dimensional Dirac oscillator, a paradigm in exactly solvable relativistic systems. The experiment relies on a relation of the Dirac oscillator to a corresponding…

Mesoscale and Nanoscale Physics · Physics 2013-12-18 J. A. Franco-Villafañe , E. Sadurní , S. Barkhofen , U. Kuhl , F. Mortessagne , T. H. Seligman

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

Statistical Mechanics · Physics 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

Dirac-Frenkel variational method with Davydov D2 trial wavefunction is extended by introducing a thermalization algorithm and applied to simulate dynamics of a general open quantum system. The algorithm allows to control temperature…

Quantum Physics · Physics 2021-03-04 Mantas Jakučionis , Darius Abramavičius

We study the problem of heat conduction in a mass-disordered two-dimensional harmonic crystal. Using two different stochastic heat baths, we perform simulations to determine the system size (L) dependence of the heat current (J). For white…

Disordered Systems and Neural Networks · Physics 2009-11-10 Lik Wee Lee , Abhishek Dhar

Heat conduction phenomena are studied theoretically using computer simulation. The systems are crystal with nonlinear interaction, and fluid of hard-core particles. Quasi-one-dimensional system of the size of $L_x\times L_y\times L_z(L_z\gg…

Statistical Mechanics · Physics 2009-10-31 Takashi Shimada , Teruyoshi Murakami , Satoshi Yukawa , Keiji Saito , Nobuyasu Ito