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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