Bounding the resources for thermalizing many-body localized systems

Sparaciari C, Goihl M, Boes P, Eisert J, Nelly Huei Ying Ng (2021)

Publication Type: Journal article

Publication year: 2021

Journal

Communications Physics Springer Nature

Book Volume: 4

Article Number: 3

Journal Issue: 1

DOI: 10.1038/s42005-020-00503-1

Abstract

Understanding under which conditions physical systems thermalize is a long-standing question in many-body physics. While generic quantum systems thermalize, there are known instances where thermalization is hindered, for example in many-body localized (MBL) systems. Here we introduce a class of stochastic collision models coupling a many-body system out of thermal equilibrium to an external heat bath. We derive upper and lower bounds on the size of the bath required to thermalize the system via such models, under certain assumptions on the Hamiltonian. We use these bounds, expressed in terms of the max-relative entropy, to characterize the robustness of MBL systems against externally-induced thermalization. Our bounds are derived within the framework of resource theories using the convex split lemma, a recent tool developed in quantum information. We apply our results to the disordered Heisenberg chain, and numerically study the robustness of its MBL phase in terms of the required bath size.

Involved external institutions

Imperial College London / The Imperial College of Science, Technology and Medicine GB United Kingdom (GB) Freie Universität Berlin DE Germany (DE)

How to cite

APA:

Sparaciari, C., Goihl, M., Boes, P., Eisert, J., & Nelly Huei Ying Ng, . (2021). Bounding the resources for thermalizing many-body localized systems. Communications Physics, 4(1). https://doi.org/10.1038/s42005-020-00503-1

MLA:

Sparaciari, Carlo, et al. "Bounding the resources for thermalizing many-body localized systems." Communications Physics 4.1 (2021).

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