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In this minireview we will discuss recent progress in the analytical study of current-carrying non-equilibrium steady states (NESS) that can be constructed in terms of a matrix product ansatz. We will focus on one-dimensional exactly…

Statistical Mechanics · Physics 2018-10-17 Berislav Buča , Tomaž Prosen

The interplay of synchronization and topological band structures with symmetry protected midgap states under the influence of driving and dissipation is largely unexplored. Here we consider a trimer chain of electron shuttles, each…

Quantum Physics · Physics 2020-08-18 C. W. Wächtler , V. M. Bastidas , G. Schaller , W. J. Munro

A-B stacked bilayer graphene has massive electron and hole-like excitations with zero gap in the nearest-neighbor hopping approximation. In equilibrium, the quasiparticle occupation approximately follows the usual Fermi-Dirac distribution.…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Dung X. Nguyen , Glenn Wagner , Steven H. Simon

We study the problem of calculating transport properties of interacting quantum systems, specifically electrical and thermal conductivities, by computing the non-equilibrium steady state (NESS) of the system biased by contacts. Our approach…

Strongly Correlated Electrons · Physics 2016-08-19 Raghu Mahajan , C. Daniel Freeman , Sam Mumford , Norm Tubman , Brian Swingle

Nonequilibrium thermal machines under cyclic driving generally outperform steady-state counterparts. However, there is still lack of coherent understanding of versatile transport and fluctuation features under time modulations. Here, we…

Statistical Mechanics · Physics 2024-08-06 Zi Wang , Jie Ren

We provide a unified semiclassical theory for the conserved current of nonconserved quantities, and manifest it in two physical contexts: the spin current of Bloch electrons and the charge current of mean-field Bogoliubov quasiparticles.…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Cong Xiao , Qian Niu

We explore two- and three-state Markov models driven out of thermal equilibrium by non-potential forces to demonstrate basic properties of the steady heat capacity based on the concept of quasistatic excess heat. It is shown that large…

Statistical Mechanics · Physics 2012-05-11 Jiri Pesek , Eliran Boksenbojm , Karel Netocny

We analyze a $XXZ$ spin-1/2 chain which is driven dissipatively at its boundaries. The dissipative driving is modelled by Lindblad jump operators which only act on both boundary spins. In the limit of large dissipation, we find that the…

Strongly Correlated Electrons · Physics 2020-04-15 Simon Essink , Stefan Wolff , Gunter M. Schütz , Corinna Kollath , Vladislav Popkov

We study the Hall conductance of a Chern insulator after a global quench of the Hamiltonian. The Hall conductance in the long time limit is obtained by applying the linear response theory to the diagonal ensemble. It is expressed as the…

Quantum Gases · Physics 2017-05-18 Pei Wang , Markus Schmitt , Stefan Kehrein

We theoretically investigate the full time evolution of a nonequilibrium double quantum dot structure from initial conditions corresponding to different product states (no entanglement between dot and lead) to a nonequilibrium steady state.…

Mesoscale and Nanoscale Physics · Physics 2014-12-22 R. Härtle , A. J. Millis

We study the topological properties of the Haldane and modified Haldane models in $\alpha$-$T_{3}$ lattice. The band structures and phase diagrams of the system are investigated. Individually, each model undergoes a distinct phase…

Strongly Correlated Electrons · Physics 2023-12-12 Kok Wai Lee , Pei-Hao Fu , Yee Sin Ang

We present our numerical study on quantum thermodynamics of the resonant level model subjected to non-equilibrium condition as well as external driving. Following our previous work on non-equilibrium quantum thermodynamics (Phys. Rev. B…

Statistical Mechanics · Physics 2022-11-09 Kaiyi Tong , Wenjie Dou

A simple model of charge transport is provided by a classical particle in a smooth random potential and a dissipative coupling to the environment in the form of Markovian noise and friction. The corresponding Non-Equilibrium Steady State…

Statistical Mechanics · Physics 2024-02-16 Anton Kapustin

We consider the non-equilibrium time evolution of piecewise homogeneous states in the XXZ spin-1/2 chain, a paradigmatic example of an interacting integrable model. The initial state can be thought as the result of joining chains with…

Statistical Mechanics · Physics 2016-11-28 Bruno Bertini , Mario Collura , Jacopo De Nardis , Maurizio Fagotti

We investigate the time-dependent, coherent, and dissipative dynamics of bound particles in single multilevel quantum dots in the presence of sequential tunnelling transport. We focus on the nonequilibrium regime where several channels are…

Mesoscale and Nanoscale Physics · Physics 2010-02-11 Eduardo Vaz , Jordan Kyriakidis

We study the open system dynamics and steady states of two dimensional Floquet topological insulators: systems in which a topological Floquet-Bloch spectrum is induced by an external periodic drive. We solve for the bulk and edge state…

Mesoscale and Nanoscale Physics · Physics 2018-06-13 Iliya Esin , Mark S. Rudner , Gil Refael , Netanel H. Lindner

Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schr\"odinger…

Statistical Mechanics · Physics 2016-08-24 S. Iubini , S. Lepri , R. Livi , A. Politi

Minimal models of active and driven particles have recently been used to elucidate many properties non-equilibrium systems. However, the relation between energy consumption and changes in the structure and transport properties of these…

Soft Condensed Matter · Physics 2017-08-03 Clara del Junco , Laura Tociu , Suriyanarayanan Vaikuntanathan

The engineering of topological non-trivial states of matter, using cold atoms, has made great progress in the last decade. Driven by experimental successes, it has become of major interest in the cold atom community. In this work we…

Quantum Gases · Physics 2020-06-16 Urs Gebert , Bernhard Irsigler , Walter Hofstetter

We study the charge conductivity of the one-dimensional repulsive Hubbard model at finite temperature using the method of dynamical quantum typicality, focusing at half filling. This numerical approach allows us to obtain current…

Strongly Correlated Electrons · Physics 2015-11-05 F. Jin , R. Steinigeweg , F. Heidrich-Meisner , K. Michielsen , H. De Raedt