Entanglement dynamics with string measurement operators

Piccitto, Giulia; Russomanno, Angelo; Rossini, Davide

doi:10.21468/SciPostPhysCore.6.4.078

SciPost Physics Core

Entanglement dynamics with string measurement operators

Giulia Piccitto, Angelo Russomanno, Davide Rossini

SciPost Phys. Core 6, 078 (2023) · published 14 November 2023

doi: 10.21468/SciPostPhysCore.6.4.078
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Abstract

We explain how to apply a Gaussian-preserving operator to a fermionic Gaussian state. We use this method to study the evolution of the entanglement entropy of an Ising spin chain undergoing a quantum-jump dynamics with string measurement operators. We find that, for finite-range string operators, the asymptotic entanglement entropy exhibits a crossover from a logarithmic to an area-law scaling with the system size, depending on the Hamiltonian parameters as well as on the measurement strength. For ranges of the string which scale extensively with the system size, the asymptotic entanglement entropy shows a volume-law scaling, independently of the measurement strength and the Hamiltonian dynamics. The same behavior is observed for the measurement-only dynamics, suggesting that measurements may play a leading role in this context.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.6.4.078
TI  - Entanglement dynamics with string measurement operators
PY  - 2023/11/14
UR  - https://scipost.org/SciPostPhysCore.6.4.078
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 6
IS  - 4
SP  - 078
A1  - Piccitto, Giulia
AU  - Russomanno, Angelo
AU  - Rossini, Davide
AB  - We explain how to apply a Gaussian-preserving operator to a fermionic Gaussian state. We use this method to study the evolution of the entanglement entropy of an Ising spin chain undergoing a quantum-jump dynamics with string measurement operators. We find that, for finite-range string operators, the asymptotic entanglement entropy exhibits a crossover from a logarithmic to an area-law scaling with the system size, depending on the Hamiltonian parameters as well as on the measurement strength. For ranges of the string which scale extensively with the system size, the asymptotic entanglement entropy shows a volume-law scaling, independently of the measurement strength and the Hamiltonian dynamics. The same behavior is observed for the measurement-only dynamics, suggesting that measurements may play a leading role in this context.
ER  -

@Article{10.21468/SciPostPhysCore.6.4.078,
	title={{Entanglement dynamics with string measurement operators}},
	author={Giulia Piccitto and Angelo Russomanno and Davide Rossini},
	journal={SciPost Phys. Core},
	volume={6},
	pages={078},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.6.4.078},
	url={https://scipost.org/10.21468/SciPostPhysCore.6.4.078},
}

Cited by 6

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Entanglement dynamics Open quantum systems

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Funders for the research work leading to this publication

Ministero dell'Università e della Ricerca
Ministero dell’Istruzione, dell’Università e della Ricerca (MIUR) (through Organization: Ministero dell'Istruzione, dell'Università e della Ricerca / Ministry of Education, Universities and Research [MIUR])