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

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

URL: http://arxiv.org/abs/2203.17254v3
Date: Mon, 3 Oct 2022 09:38:28 GMT
Title: Entanglement Negativity and Mutual Information after a Quantum Quench: Exact Link from Space-Time Duality
Authors: Bruno Bertini, Katja Klobas, and Tsung-Cheng Lu
Abstract summary: We study the growth of entanglement between two adjacent regions in a tripartite, one-dimensional many-body system after a quantum quench. We derive an exact, universal relation between the entanglement negativity and Renyi-1/2 mutual information which holds at times shorter than the sizes of all subsystems.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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 Renyi-1/2 mutual information which holds at times shorter than the sizes of all subsystems. Our proof is directly applicable to any translationally invariant local quantum circuit, i.e., any lattice system in discrete time characterised 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.

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