Heidelberg 2022 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 1: Entanglement; Thermalization

MP 1.3: Hauptvortrag

Montag, 21. März 2022, 10:30–11:00, MP-H5

Rapid thermalization of spin chain commuting Hamiltonians — •Angela Capel — Universität Tübingen

In this talk, we will show that spin chains weakly coupled to a large heat bath thermalize rapidly at any temperature for finite-range, translation-invariant commuting Hamiltonians, reaching equilibrium in a time which scales logarithmically with the system size. From a physical point of view, this result establishes the absence of dissipative phase transition for Davies evolutions over translation-invariant spin chains. The result also applies in the case of Symmetry Protected Topological phases where the evolution is respecting the symmetry of the phase. We will comment on the possible extensions of this result to higher dimensions, as well as on some applications to the study of many-body in and out-of-equilibrium quantum systems.