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We present numerical results for the spin and thermal conductivity of one-dimensional (1D) quantum spin systems. We contrast the properties of integrable models such as the spin-1/2 XXZ chain against nonintegrable ones such as frustrated…

Strongly Correlated Electrons · Physics 2008-01-09 F. Heidrich-Meisner , A. Honecker , W. Brenig

We study nonequilibrium steady states of the one-dimensional discrete nonlinear Schroedinger equation. This system can be regarded as a minimal model for stationary transport of bosonic particles like photons in layered media or cold atoms…

Statistical Mechanics · Physics 2012-08-30 S. Iubini , S. Lepri , A. Politi

We study the charge conductivity in one-dimensional prototype models of interacting particles, such as the Hubbard and the t-V spinless fermion model, when coupled to some external baths injecting and extracting particles at the boundaries.…

Strongly Correlated Electrons · Physics 2009-07-09 Giuliano Benenti , Giulio Casati , Tomaz Prosen , Davide Rossini , Marko Znidaric

We consider a generic system operating under non-equilibrium conditions. Explicitly, we consider an inertial classical Brownian particle dwelling a periodic structure with a spatially broken reflection symmetry. The particle is coupled to a…

Statistical Mechanics · Physics 2020-07-15 P. Hänggi , J. Łuczka , J. Spiechowicz

Heat transport exhibits distinct regimes ranging from ballistic propagation to diffusive relaxation, traditionally described by disparate theoretical frameworks. Here, we introduce a unified first-order operator formulation in which…

Optics · Physics 2026-04-29 Pengfei Zhu

We build an exact framework to evaluate heat, energy, and particle transport between Gaussian reservoirs mediated by a quadratic quantum system. By combining full counting statistics with newly developed non-Markovian master equation…

Quantum Physics · Physics 2026-02-25 Guglielmo Pellitteri , Vittorio Giovannetti , Vasco Cavina

We derive Fourier's law for a completely coherent quasi one--dimensional chaotic quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference. We show…

Quantum Physics · Physics 2015-05-20 Thomas H. Seligman , Hans A. Weidenmueller

Studies relying on hydrodynamic theory and Kardar-Parisi-Zhang (KPZ) scaling have found that in the one-dimensional Hubbard model spin and charge transport are for all temperatures T > 0 anomalous superdiffusive at zero magnetic field, h =…

Strongly Correlated Electrons · Physics 2025-07-04 J. M. P. Carmelo , P. D. Sacramento

A novel class of nonequilibrium phase-transitions at zero temperature is found in chains of nonlinear oscillators.For two paradigmatic systems, the Hamiltonian XY model and the discrete nonlinear Schr\"odinger equation, we find that the…

Chaotic Dynamics · Physics 2014-04-15 Stefano Iubini , Stefano Lepri , Roberto Livi , Antonio Politi

Numerical studies of some unidimensional systems suggest that Fourier law is satisfied, where theory predicts a divergence of heat conductivity with the system size. Here, I revisit some such models, finding that in all cases a divergence…

Statistical Mechanics · Physics 2026-01-29 Antonio Politi

We study magnetization transport at high temperatures in several spin ladder systems as well as in next-nearest-neighbor coupled spin chains. In the integrable ladder considered we analytically show that the transport is ballistic in…

Strongly Correlated Electrons · Physics 2013-11-28 Marko Znidaric

Characterizing the nature of hydrodynamical transport properties in quantum dynamics provides valuable insights into the fundamental understanding of exotic non-equilibrium phases of matter. Experimentally simulating infinite-temperature…

We analyze the Drude weight for both spin and thermal transport of one-dimensional spin-1/2 systems by means of exact diagonalization at finite temperatures. While the Drude weights are non-zero for finite systems, we find indications of a…

Strongly Correlated Electrons · Physics 2015-03-03 F. Heidrich-Meisner , A. Honecker , D. C. Cabra , W. Brenig

We study thermal transport in one dimensional spin systems both in the presence and absence of impurities. In the absence of disorder, all these spin systems display a temperature dependent Drude peak in the thermal conductivity. In gapless…

Strongly Correlated Electrons · Physics 2007-05-23 E. Orignac , R. Chitra , R. Citro

Thermal transport is an important energy transfer process in nature. Phonon is the major energy carrier for heat in semiconductor and dielectric materials. In analogy to Ohm's law for electrical conductivity, Fourier's law is a fundamental…

Statistical Mechanics · Physics 2012-11-27 Sha Liu , Xiangfan Xu , Rongguo Xie , Gang Zhang , Baowen Li

We introduce a new microcanonical dynamics for a large class of Ising systems isolated or maintained out of equilibrium by contact with thermostats at different temperatures. Such a dynamics is very general and can be used in a wide range…

Statistical Mechanics · Physics 2009-07-28 Elena Agliari , Mario Casartelli , Alessandro Vezzani

The exploitation of the spin in charge-based systems is opening revolutionary opportunities for device architecture. Surprisingly, room temperature electrical transport through magnetic nanowires is still an unresolved issue. Here, we show…

Materials Science · Physics 2009-11-10 Varlei Rodrigues , Jefferson Bettini , Paulo C. Silva , Daniel Ugarte

A nanowire with its two ends fixed at two different temperatures by external baths is the simplest example of a fermionic system with a temperature inhomogeneity, and could be an easy platform to study thermodynamic and transport properties…

Mesoscale and Nanoscale Physics · Physics 2025-04-07 Yuan Gao , K. A. Muttalib

In this paper, we examine the conditions under which the nonlinear transport theory is inescapable, when a correlated quantum dot is symmetrically coupled to two leads submitted to temperature and voltage biases. By detailed numerical…

Mesoscale and Nanoscale Physics · Physics 2014-12-02 J. Azema , P. Lombardo , A. -M. Daré

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