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Typicality of nonequilibrium quasi-steady currents

Xiansong Xu1, Chu Guo2,3, and Dario Poletti1,4

  • 1Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore
  • 2Henan Key Laboratory of Quantum Information and Cryptography, Zhengzhou, Henan 450000, China
  • 3Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China
  • 4EPD Pillar, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore

Phys. Rev. A 105, L040203 – Published 27 April, 2022

DOI: https://doi.org/10.1103/PhysRevA.105.L040203

Abstract

The understanding of the emergence of equilibrium statistical mechanics has progressed significantly thanks to developments from typicality, canonical and dynamical, and from the eigenstate thermalization hypothesis. Here we focus on a nonequilibrium scenario in which two nonintegrable systems prepared in different states are locally and nonextensively coupled to each other. Using both perturbative analysis and numerical exact simulations of up to 28 spin systems, we demonstrate the typical emergence of nonequilibrium quasi-steady current for weak coupling between the subsystems. We also identify that these currents originate from a prethermalization mechanism, which is the weak and local breaking of the conservation of the energy for each subsystem.

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