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Operator Entanglement in Local Quantum Circuits II: Solitons in Chains of Qubits

by Bruno Bertini, Pavel Kos, Tomaz Prosen

Submission summary

As Contributors: Bruno Bertini
Arxiv Link: https://arxiv.org/abs/1909.07410v1
Date submitted: 2019-10-01
Submitted by: Bertini, Bruno
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: Quantum Physics

Abstract

We provide exact results for the dynamics of local-operator entanglement in quantum circuits with two-dimensional wires featuring solitons, i.e. local operators which, up to a phase, are simply shifted by the time evolution. We classify all circuits allowing for solitons and show that only dual-unitary circuits can feature moving solitons. Then, we rigorously prove that if a circuit has a soliton moving to the left (right), the entanglement of local operators initially on even (odd) sites saturates to a constant value and its dynamics can be computed exactly. Finally, we present a closed-form expression for the local-operator entanglement entropies in circuits with solitons in both directions. Our results hold irrespectively of integrability.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission 1909.07410v1 on 1 October 2019

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