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

Gabriel T. Landi*, Dario Poletti†, and Gernot Schaller‡

Gabriel T. Landi*

  • Instituto de Física da Universidade de São Paulo, 05314-970 São Paulo, Brazil

Dario Poletti†

  • Science, Mathematics and Technology Cluster and Engineering Product Development Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore, Singapore

Gernot Schaller‡

  • Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany and Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany

  • *gtlandi@gmail.com
  • †dario_poletti@sutd.edu.sg
  • ‡g.schaller@hzdr.de
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Rev. Mod. Phys. 94, 045006 – Published 13 December, 2022

DOI: https://doi.org/10.1103/RevModPhys.94.045006

Abstract

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 because of concurrent advances in the models used to represent these systems, the methods employed, and the analysis of the emerging phenomenology. A comprehensive review of these three integrated research directions is given. First provided is an overarching view of the models of boundary-driven open quantum systems, in both the weak- and strong-coupling regimes. This is followed by a review of state-of-the-art analytical and numerical methods that are exact, perturbative, and approximate. Finally, the transport properties of some paradigmatic one-dimensional chains are discussed, with an emphasis on disordered and quasiperiodic systems, the emergence of rectification and negative differential conductance, and the role of phase transitions, and an outlook on further research options is given.

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Rev. Mod. Phys. 94, 045006– Published 13 December, 2022
  • Received 27 May 2021
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