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Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality

Bertini, Bruno; Klobas, Katja; Lu, Tsung-Cheng

Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality Thumbnail


Authors

Bruno Bertini

Katja Klobas

Tsung-Cheng Lu



Abstract

We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench. Combining a replica trick with a space-time duality transformation, we derive an exact, universal relation between the entanglement negativity and Rényi-1/2 mutual information that holds at times shorter than the sizes of all subsystems. Our proof is directly applicable to any local quantum circuit, i.e., any lattice system in discrete time characterized by local interactions, irrespective of the nature of its dynamics. Our derivation indicates that such a relation can be directly extended to any system where information spreads with a finite maximal velocity.

Journal Article Type Article
Acceptance Date Sep 7, 2022
Online Publication Date Sep 30, 2022
Publication Date Sep 30, 2022
Deposit Date Nov 9, 2022
Publicly Available Date Nov 15, 2022
Journal Physical Review Letters
Print ISSN 0031-9007
Electronic ISSN 1079-7114
Publisher American Physical Society (APS)
Peer Reviewed Peer Reviewed
Volume 129
Issue 14
Article Number 140503
DOI https://doi.org/10.1103/physrevlett.129.140503
Keywords General Physics and Astronomy
Public URL https://nottingham-repository.worktribe.com/output/13166363
Publisher URL https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.129.140503

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