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We study the dynamics of a single photon pulse travels through a linear atomic chain coupled to a one-dimensional (1D) single mode photonic waveguide. We derive a time-dependent dynamical theory for this collective many-body system which…

Quantum Physics · Physics 2015-10-09 Zeyang Liao , Xiaodong Zeng , Shi-Yao Zhu , M. Suhail Zubairy

We present an exact solution of the Langevin's equation in the steady state limit in a three dimensional, harmonic crystal of slab geometry whose boundary surfaces along its length are connected to two stochastic, white noise heat baths at…

Statistical Mechanics · Physics 2011-06-24 Shiladitya Acharya , Krishnendu Mukherjee

I study heat and norm transport in a one-dimensional lattice of linear Schr\"odinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same of the Discrete Nonlinear Schr\"odinger equation in the…

Statistical Mechanics · Physics 2019-10-09 Stefano Iubini

We study the non-equilibrium transport properties of a highly anisotropic two-dimensional lattice of spin-1/2 particles governed by a Heisenberg XXZ Hamiltonian. The anisotropy of the lattice allows us to approximate the system at finite…

Strongly Correlated Electrons · Physics 2016-11-22 J. J. Mendoza-Arenas , M. T. Mitchison , S. R. Clark , J. Prior , D. Jaksch , M. B. Plenio

In the present Letter we present an analytical and numerical solution of the self-consistent mode-coupling equations for the problem of heat conductivity in one-dimensional systems. Such a solution leads us to propose a different scenario…

Statistical Mechanics · Physics 2009-11-11 L. Delfini , S. Lepri , R. Livi , A. Politi

How the transport properties of an extended system is affected by coupling to active reservoirs is a significant, yet virtually unexplored question. Here we address this issue in the context of energy transport between two active reservoirs…

Statistical Mechanics · Physics 2022-09-23 Ion Santra , Urna Basu

We present analytical and numerical results on the heat conduction in a linear mixing system. In particular we consider a quasi one dimensional channel with triangular scatterers with internal angles irrational multiples of pi and we show…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Giulio Casati , Jiao Wang

Metallic atomic junctions pose the ultimate limit to the scaling of electrical contacts. They serve as model systems to probe electrical and thermal transport down to the atomic level as well as quantum effects occurring in one-dimensional…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Nico Mosso , Ute Drechsler , Fabian Menges , Peter Nirmalraj , Siegfried Karg , Heike Riel , Bernd Gotsmann

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current…

Statistical Mechanics · Physics 2013-11-13 Lei Wang , Bambi Hu , Baowen Li

We study thermal transport in a chain of coupled atoms, which can vibrate in longitudinal as well as transverse directions. The particles interact through anharmonic potentials upto cubic order. The problem is treated quantum mechanically.…

Statistical Mechanics · Physics 2010-04-19 Santhosh G , Deepak Kumar

We present the results of a detailed study of energy correlations at steady state for a 1-D model of coupled energy and matter transport. Our aim is to discover -- via theoretical arguments, conjectures, and numerical simulations -- how…

Statistical Mechanics · Physics 2007-05-23 Kevin K. Lin , Lai-Sang Young

We investigate heat transport in various quantum spin chains, using the projector operator technique. We find that anomalous heat transport is linked not to the integrability of the Hamiltonian, but to whether it can be mapped to a model of…

Statistical Mechanics · Physics 2015-05-18 Jinshan Wu , Mona Berciu

We investigate a one-dimenisonal Hamiltonian system that describes a system of particles interacting through short-range repulsive potentials. Depending on the particle mean energy, $\epsilon$, the system demonstrates a spectrum of kinetic…

Statistical Mechanics · Physics 2009-11-10 S. Denisov , A. Filippov , J. Klafter , M. Urbakh

We study the thermal boundary conduction in one-dimensional harmonic and $\phi^{4}$ lattices, both of which consist of two segments coupled by a harmonic interaction. For the ballistic interfacial heat transport through the harmonic…

Statistical Mechanics · Physics 2015-09-30 Xiaodong Cao , Dahai He

The nonzero ground-state energy of the quantum mechanical harmonic oscillator implies quantum fluctuations around the minimum of the potential with the mean square value proportional to Planck's constant. In classical mechanics thermal…

Quantum Physics · Physics 2020-09-02 K. Schönhammer

The physics of non-zero temperature dynamics and transport near quantum-critical points is discussed by a detailed study of the O(N)-symmetric, relativistic, quantum field theory of a N-component scalar field in $d$ spatial dimensions. A…

Strongly Correlated Electrons · Physics 2025-09-08 Subir Sachdev

In this article we review aspects of charge and heat transport in interacting quantum dots and molecular junctions under stationary and time-dependent non-equilibrium conditions due to finite electrical and thermal bias. In particular, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 F. Haupt , M. Leijnse , H. L. Calvo , L. Classen , J. Splettstoesser , M. R. Wegewijs

In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polarized phonons, kinetic theory of unpolarized phonons,…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Michal Pavelka , Liliana Restuccia , David Jou

The study focuses on the 3D electro-hydrodynamic (EHD) instability for flow between to parallel electrodes with unipolar charge injection with and without cross-flow. Lattice Boltzmann Method (LBM) with two-relaxation time (TRT) model is…

Fluid Dynamics · Physics 2020-03-11 Yifei Guan , James Riley , Igor Novosselov

We study heat conduction in a one-dimensional {finite}, unpinned chain of atoms perturbed by stochastic momentum exchange and coupled to Langevin heat baths at {possibly} distinct temperatures placed at the endpoints of the chain. While…

Mathematical Physics · Physics 2025-12-05 Tomasz Komorowski , Stefano Olla
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