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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…

量子物理 · 物理学 2013-01-25 D. Pagel , A. Alvermann , H. Fehske

We consider a chain of coupled and strongly pinned anharmonic oscillators subject to a non-equilibrium random forcing. Assuming that the stationary state is approximately Gaussian, we first derive a stationary Boltzmann equation. By…

统计力学 · 物理学 2009-11-11 R. Lefevere , A. Schenkel

The effects of quantum and thermal corrections on the dynamics of a damped nonlinearly kicked harmonic oscillator are studied. This is done via the Quantum Langevin Equation formalism working on a truncated moment expansion of the density…

量子物理 · 物理学 2007-05-23 M. Rodriguez-Achach , G. Perez , H. Cerdeira

We consider a one-dimensional chain of coupled oscillators in contact at both ends with heat baths at different temperatures, and subject to an external force at one end. The Hamiltonian dynamics in the bulk is perturbed by random exchanges…

概率论 · 数学 2019-09-12 Tomasz Komorowski , Stefano Olla , Marielle Simon

We consider far from equilibrium heat transport in chaotic billiard chains with non-interacting charged particles in the presence of non-uniform transverse magnetic field. If half of the chain is placed in a strong magnetic field, or if the…

统计力学 · 物理学 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio , Tomaz Prosen

In this paper, thermal transport in bond-disordered harmonic chains is revisited in detail using a nonequilibrium Green's function formalism. For strong bond disorder, thermal conductivity is independent of the system size. However, kinetic…

统计力学 · 物理学 2021-10-25 Kiminori Hattori , Shohei Kumatoriya

The equilibration of sinusoidally modulated distribution of the kinetic temperature is analyzed in the $\beta$-Fermi-Pasta-Ulam-Tsingou chain with different degrees of nonlinearity and for different wavelengths of temperature modulation.…

Systems in which the heat flux depends on the direction of the flow are said to present thermal rectification. This effect has attracted much theoretical and experimental interest in recent years. However, in most theoretical models the…

统计力学 · 物理学 2015-12-14 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

We present a study that addresses both the stationary properties of the energy current and quantum correlations in a three-mode chain subjected to Ohmic and super-Ohmic dissipa- tions. An extensive numerical analysis shows that the mean…

量子物理 · 物理学 2015-04-01 Antonio A. Valido , Antonia Ruiz , Daniel Alonso

We analytically study heat conduction in a chain with interparticle interaction V(x)=lambda[1-cos(x)] and harmonic on-site potential. We start with each site of the system connected to a Langevin heat bath, and investigate the case of small…

统计力学 · 物理学 2007-05-23 Emmanuel Pereira , Ricardo Falcao

Starting from a microscopic theory, we derive a master equation for a harmonic oscillator coupled to a bath of non-interacting oscillators. We follow a non-perturbative approach, proposed earlier by us for the free Brownian particle. The…

量子物理 · 物理学 2013-05-29 Jishad Kumar , S. Sinha , P. A. Sreeram

We study the decoherence of an anisotropic anharmonic oscillator in a magnetic field, coupled to a bath of harmonic oscillators at high and low temperatures. We solve the anharmonic oscillator problem using perturbative techniques and…

量子物理 · 物理学 2025-10-23 Suraka Bhattacharjee , Koushik Mandal , Supurna Sinha

We analyze the non-equilibrium steady states (NESS) of a one dimensional harmonic chain of $N$ atoms with alternating masses connected to heat reservoirs at unequal temperatures. We find that the temperature profile defined through the…

数学物理 · 物理学 2015-06-03 Venkateshan Kannan , Abhishek Dhar , J. L. Lebowitz

The out-of-time-order correlator (OTOC) of simple harmonic oscillator with extra anharmonic (quartic) interaction are calculated by the second quantization method. We obtain the analytic formulas of spectrum, Fock space states and matrix…

高能物理 - 理论 · 物理学 2023-12-29 Wung-Hong Huang

In this work we perform a systematic analysis of various structural parameters that have influence on the thermal rectification effect, i.e. asymmetrical heat flow, and the negative differential thermal resistance -- reduction of the heat…

统计力学 · 物理学 2023-10-12 M Romero-Bastida , Brandon Armando Martínez-Torres

We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat…

数学物理 · 物理学 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic dynamics in the bulk is given by the…

数学物理 · 物理学 2023-05-03 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

介观与纳米尺度物理 · 物理学 2007-05-23 Abhishek Dhar

We introduce a functional perturbative method for treating weakly nonlinear systems coupled with a quantum field bath. We demonstrate using this method to obtain the covariance matrix elements and the correlation functions of a quantum…

高能物理 - 理论 · 物理学 2020-07-01 Jen-Tsung Hsiang , B. L. Hu

In this paper, we present first-order accurate numerical methods for solution of the heat equation with uncertain temperature-dependent thermal conductivity. Each algorithm yields a shared coefficient matrix for the ensemble set improving…

数值分析 · 数学 2021-06-08 J. A. Fiordilino , M. Winger