Finite-temperature transport in one-dimensional quantum lattice models

B Bertini, F Heidrich-Meisner, C Karrasch, T Prosen… - Reviews of Modern …, 2021 - APS
Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

GT Landi, D Poletti, G Schaller - Reviews of Modern Physics, 2022 - APS
Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

Open Spin Chain: Nonequilibrium Steady State and a Strict Bound on Ballistic Transport

T Prosen - Physical review letters, 2011 - APS
An explicit matrix product ansatz is presented, in the first two orders in the (weak) coupling
parameter, for the nonequilibrium steady state of the homogeneous, nearest neighbor …

A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains

B Buča, T Prosen - New Journal of Physics, 2012 - iopscience.iop.org
We study quantum transport properties of an open Heisenberg XXZ spin 1/2 chain driven by
a pair of Lindblad jump operators satisfying a global'micro-canonical'constraint, ie …

Exact Nonequilibrium Steady State of a Strongly Driven Open Chain

T Prosen - Physical review letters, 2011 - APS
An exact and explicit ladder-tensor-network ansatz is presented for the nonequilibrium
steady state of an anisotropic Heisenberg XXZ spin-1/2 chain which is driven far from …

Relaxation times of dissipative many-body quantum systems

M Žnidarič - Physical Review E, 2015 - APS
We study relaxation times, also called mixing times, of quantum many-body systems
described by a Lindblad master equation. We in particular study the scaling of the spectral …

Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model

A Nava, G Campagnano, P Sodano, D Giuliano - Physical Review B, 2023 - APS
We use the Lindblad equation method to investigate the onset of a mobility edge and the
topological phase transition in the disordered SSH chain connected to two external baths in …

Fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model

EG Cinnirella, A Nava, G Campagnano, D Giuliano - Physical Review B, 2024 - APS
We use the Lindblad equation approach to investigate topological phases hosting more than
one localized state at each side of a disordered Su-Schrieffer-Heeger chain with properly …

Exact solution of Markovian master equations for quadratic Fermi systems: thermal baths, open XY spin chains and non-equilibrium phase transition

T Prosen, B Žunkovič - New Journal of Physics, 2010 - iopscience.iop.org
We generalize the method of third quantization to a unified exact treatment of Redfield and
Lindblad master equations for open quadratic systems of n fermions in terms of …

Beyond mean-field bistability in driven-dissipative lattices: Bunching-antibunching transition and quantum simulation

JJ Mendoza-Arenas, SR Clark, S Felicetti, G Romero… - Physical Review A, 2016 - APS
In the present work we investigate the existence of multiple nonequilibrium steady states in a
coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field …