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      Stochastic dissipative quantum spin chains (I) : Quantum fluctuating discrete hydrodynamics

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      SciPost Physics

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          Abstract

          Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations. They induce dissipative friction on the spin chain currents. We show that, as the friction becomes stronger, the noise induced dissipative effects localize the spin chain states on a slow mode manifold, and we determine the effective stochastic quantum dynamics of these slow modes. We illustrate this approach by studying the quantum stochastic Heisenberg spin chain.

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          Nonequilibrium dynamics of closed interacting quantum systems

          This colloquium gives an overview of recent theoretical and experimental progress in the area of nonequilibrium dynamics of isolated quantum systems. We particularly focus on quantum quenches: the temporal evolution following a sudden or slow change of the coupling constants of the system Hamiltonian. We discuss several aspects of the slow dynamics in driven systems and emphasize the universality of such dynamics in gapless systems with specific focus on dynamics near continuous quantum phase transitions. We also review recent progress on understanding thermalization in closed systems through the eigenstate thermalization hypothesis and discuss relaxation in integrable systems. Finally we overview key experiments probing quantum dynamics in cold atom systems and put them in the context of our current theoretical understanding.
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            Quantum computation and quantum-state engineering driven by dissipation

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              Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents

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                Author and article information

                Affiliations
                [1 ]CEA Saclay
                [2 ]École Normale Supérieure
                Journal
                SciPost Physics
                SciPost Phys.
                Stichting SciPost
                2542-4653
                2017
                November 04 2017
                : 3
                : 5
                10.21468/SciPostPhys.3.5.033
                © 2017

                This work is licensed under a Creative Commons Attribution 4.0 Unported License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

                Physics

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