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.
Original language | English |
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Article number | 140503 |
Number of pages | 8 |
Journal | Physical Review Letters |
Volume | 129 |
Issue number | 14 |
DOIs | |
Publication status | Published - 30 Sept 2022 |
Bibliographical note
Publisher Copyright:© 2022 American Physical Society.
ASJC Scopus subject areas
- General Physics and Astronomy