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In this work we analyze the simultaneous emergence of diffusive energy transport and local thermalization in a nonequilibrium one-dimensional quantum system, as a result of integrability breaking. Specifically, we discuss the local…

统计力学 · 物理学 2016-11-21 J. J. Mendoza-Arenas , S. R. Clark , D. Jaksch

The divergence of the heat conductivity in the thermodynamic limit is investigated in 2d-lattice models of anharmonic solids with nearest-neighbour interaction from single-well potentials. Two different numerical approaches based on…

chao-dyn · 物理学 2007-05-23 A. Lippi , R. Livi

Understanding heat transport in one-dimensional systems remains a major challenge in theoretical physics, both from the quantum as well as from the classical point of view. In fact, steady states of one-dimensional systems are commonly…

统计力学 · 物理学 2019-10-02 Carlos Mejía-Monasterio , Antonio Politi , Lamberto Rondoni

We continue the study of a model for heat conduction consisting of a chain of non-linear oscillators coupled to two Hamiltonian heat reservoirs at different temperatures. We establish existence of a Liapunov function for the chain dynamics…

数学物理 · 物理学 2009-11-07 Luc Rey-Bellet , Lawrence E. Thomas

We investigate transport properties of different realizations of one-dimensional quantum wires coupled to a number of external electrodes in terms of the full counting statistics. Focusing on the set-ups in which edge states of Majorana…

介观与纳米尺度物理 · 物理学 2016-03-15 A. Komnik

We study transport properties of a disordered tight-binding model (XX spin chain) in the presence of dephasing. Focusing on diffusive behavior in the thermodynamic limit at high energies, we analytically derive the dependence of…

强关联电子 · 物理学 2013-03-05 Marko Znidaric , Martin Horvat

We consider an inhomogeneous strongly correlated system where external disorder divides it into mesoscopic cells.Strong inter-particle repulsion suppresses the quantum tunneling between cells and open a wide temperature range for incoherent…

强关联电子 · 物理学 2007-05-23 Darwin Chang , Dung-Hai Lee

We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1d nonlinear lattice exhibiting normal transport properties in the absence of an on-site potential. Numerical estimates obtained…

chao-dyn · 物理学 2009-10-31 C. Giardina' , R. Livi , A. Politi , M. Vassalli

We use a Generalised Langevin Equation (GLE) scheme to study the thermal transport of low dimensional systems. In this approach, the central classical region is connected to two realistic thermal baths kept at two different temperatures [H.…

介观与纳米尺度物理 · 物理学 2017-05-24 H. Ness , L. Stella , C. D. Lorenz , L. Kantorovich

We study finite-temperature transport properties of the one-dimensional Hubbard model using the density matrix renormalization group. Our aim is two-fold: First, we compute both the charge and the spin current correlation function of the…

强关联电子 · 物理学 2015-06-22 C. Karrasch , D. M. Kennes , J. E. Moore

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

统计力学 · 物理学 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia

The thermal conductivity, $\kappa$, of a homogeneous chain of generically-ranged interacting planar rotors, more precisely the inertial $\alpha-XY$ model, is numerically studied with the coupling constant decaying as $r^{-\alpha}$. The…

统计力学 · 物理学 2024-07-22 Henrique Santos Lima , Constantino Tsallis , Deniz Eroglu , Ugur Tirnakli

We investigate the mechanism of heat conduction in ordered and disordered harmonic onedimensional chains within the quantum mechanical Langevin method. In the case of the disordered chains we find indications for normal heat conduction…

量子物理 · 物理学 2007-07-18 Christopher Gaul , Helmut Büttner

We study the model of a strongly non-linear chain of particles coupled to two heat baths at different temperatures. Our main result is the existence and uniqueness of a stationary state at all temperatures. This result extends those of…

chao-dyn · 物理学 2009-10-31 Jean-Pierre Eckmann , Martin Hairer

We analyze the steady-state energy transfer in a chain of coupled two-level systems connecting two thermal reservoirs. Through an analytic treatment we find that the energy current is independent of the system size, hence violating…

量子物理 · 物理学 2012-12-20 Daniel Manzano , Markus Tiersch , Ali Asadian , Hans J. Briegel

Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations.…

无序系统与神经网络 · 物理学 2015-01-22 K. Ziegler

We study the transport and equilibration properties of a classical Heisenberg chain, whose couplings are random variables drawn from a one-parameter family of power-law distributions. The absence of a scale in the couplings makes the system…

统计力学 · 物理学 2023-10-09 Adam J. McRoberts , Federico Balducci , Roderich Moessner , Antonello Scardicchio

The non-linear sigma model is a well-established theoretical tool for studies of transport and thermodynamics in disordered electronic systems. The conventional sigma model approach for interacting systems does not account for particle-hole…

介观与纳米尺度物理 · 物理学 2022-07-08 G. Schwiete

We study the dynamics of long-wavelength fluctuations in one-dimensional (1D) many-particle systems as described by self-consistent mode-coupling theory. The corresponding nonlinear integro-differential equations for the relevant…

统计力学 · 物理学 2015-06-25 Luca Delfini , Stefano Lepri , Roberto Livi , Antonio Politi

We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states…

量子气体 · 物理学 2020-08-18 Tianqi Chen , Vinitha Balachandran , Chu Guo , Dario Poletti