The entanglement membrane in exactly solvable lattice models

Entanglement membrane theory is an effective coarse-grained description of entanglement dynamics and operator growth in chaotic quantum many-body systems. The fundamental quantity characterizing the membrane is the entanglement line tension. However, determining the entanglement line tension for mic...

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Bibliographic Details
Published in:arXiv.org 2024-06
Main Authors: Rampp, Michael A, Rather, Suhail A, Claeys, Pieter W
Format: Article
Language:English
Subjects:
Circuits
Correlation
Mathematical analysis
Membranes
Quantum entanglement
Qubits (quantum computing)
Structural analysis
Online Access:Get full text
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Summary:Entanglement membrane theory is an effective coarse-grained description of entanglement dynamics and operator growth in chaotic quantum many-body systems. The fundamental quantity characterizing the membrane is the entanglement line tension. However, determining the entanglement line tension for microscopic models is in general exponentially difficult. We compute the entanglement line tension in a recently introduced class of exactly solvable yet chaotic unitary circuits, so-called generalized dual-unitary circuits, obtaining a non-trivial form that gives rise to a hierarchy of velocity scales with \(v_E
ISSN:2331-8422
DOI:10.48550/arxiv.2312.12509