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Local Operator Entanglement in Spin Chains

by Eric Mascot, Masahiro Nozaki, Masaki Tezuka

Submission summary

As Contributors: Eric Mascot
Arxiv Link: https://arxiv.org/abs/2012.14609v3 (pdf)
Date submitted: 2021-01-20 08:02
Submitted by: Mascot, Eric
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Information Theory
  • Condensed Matter Physics - Theory
  • High-Energy Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

We study the time evolution of bi- and tripartite operator mutual information of the time-evolution operator and Pauli's spin operators in the one-dimensional Ising model with magnetic field and the disordered Heisenberg model. In the Ising model, the early-time evolution qualitatively follows an effective light cone picture, and the late-time value is well described by Page's value for a random pure state. In the Heisenberg model with strong disorder, we find many-body localization prevents the information from propagating and being delocalized. We also find an effective Ising Hamiltonian describes the time evolution of bi- and tripartite operator mutual information for the Heisenberg model in the large disorder regime.

Current status:
Editor-in-charge assigned


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Submission 2012.14609v3 on 20 January 2021

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