Quantum Information Spreading in Generalized Dual-Unitary Circuits

Alessandro Foligno, Pavel Kos, Bruno Bertini

Research output: Contribution to journalArticlepeer-review

Abstract

We study the spreading of quantum information in a recently introduced family of brickwork quantum circuits that generalizes the dual-unitary class. These circuits are unitary in time, while their spatial dynamics is unitary only in a restricted subspace. First, we show that local operators spread at the speed of light as in dual-unitary circuits, i.e., the butterfly velocity takes the maximal value allowed by the geometry of the circuit. Then, we prove that the entanglement spreading can still be characterized exactly for a family of compatible initial states (in fact, for an extension of the compatible family of dual-unitary circuits) and that the asymptotic entanglement slope is again independent on the Rényi index. Remarkably, however, we find that the entanglement velocity is generically smaller than 1. We use these properties to find a closed-form expression for the entanglement-membrane line tension.

Original languageEnglish
Article number250402
Number of pages7
JournalPhysical Review Letters
Volume132
Issue number25
DOIs
Publication statusPublished - 21 Jun 2024

Bibliographical note

Publisher Copyright:
© 2024 authors. Published by the American Physical Society.

ASJC Scopus subject areas

  • General Physics and Astronomy

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