Signatures of information scrambling in the dynamics of the entanglement spectrum

T. Rakovszky, S. Gopalakrishnan, S. A. Parameswaran, F. Pollmann

Publikation: Beitrag in FachzeitschriftArtikelBegutachtung

9 Zitate (Scopus)

Abstract

We examine the time evolution of the entanglement spectrum of a small subsystem of a nonintegrable spin chain following a quench from a product state. We identify signatures in this entanglement spectrum of the distinct dynamical velocities (related to entanglement and operator spreading) that control thermalization. We show that the onset of level repulsion in the entanglement spectrum occurs on different timescales depending on the "entanglement energy," and that this dependence reflects the shape of the operator front. Level repulsion spreads across the entire entanglement spectrum on a timescale that is parametrically shorter than that for full thermalization of the subsystem. This timescale is also close to when the mutual information between individual spins at the ends of the subsystem reaches its maximum. We provide an analytical understanding of this phenomenon and show supporting numerical data for both random unitary circuits and a microscopic Hamiltonian.

OriginalspracheEnglisch
Aufsatznummer125115
FachzeitschriftPhysical Review B
Jahrgang100
Ausgabenummer12
DOIs
PublikationsstatusVeröffentlicht - 6 Sept. 2019

Fingerprint

Untersuchen Sie die Forschungsthemen von „Signatures of information scrambling in the dynamics of the entanglement spectrum“. Zusammen bilden sie einen einzigartigen Fingerprint.

Dieses zitieren