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Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition

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Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition. / Boorman, T.; Szyniszewski, M.; Schomerus, H. et al.

In: Physical Review B: Condensed Matter and Materials Physics, Vol. 105, No. 14, 144202, 01.04.2022.

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Boorman T, Szyniszewski M, Schomerus H, Romito A. Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition. Physical Review B: Condensed Matter and Materials Physics. 2022 Apr 1;105(14): 144202. doi: 10.1103/PhysRevB.105.144202

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@article{fd2bb441072b4b548d0d5b4e420dd97c,
title = "Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition",
abstract = "We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and disordered Hamiltonian. We employ continuous measurements of variable strength to induce a transition from volume to area-law scaling of the steady-state entanglement entropy. While static background disorder systematically reduces the critical measurement strength, this critical value depends non-monotonically on the strength of non-static noise. According to the extracted fine-size scaling exponents, the universality class of the transition is independent of the noise and disorder strength. We interpret the results in terms of the effect of static and non-static disorder on the intricate dynamics of the entanglement generation rate due to the Hamiltonian in the absence of measurement, which is fully reflected in the behavior of the critical measurement strength. Our results establish a firm connection between this entanglement growth and the steady-state behavior of the measurement-controlled systems, which therefore can serve as a tool to quantify and investigate features of transient entanglement dynamics in complex many-body systems via a steady-state phase transition. ",
keywords = "quant-ph, cond-mat.dis-nn, cond-mat.mes-hall, cond-mat.stat-mech, cond-mat.str-el",
author = "T. Boorman and M. Szyniszewski and H. Schomerus and A. Romito",
note = "{\textcopyright} 2022 American Physical Society",
year = "2022",
month = apr,
day = "1",
doi = "10.1103/PhysRevB.105.144202",
language = "English",
volume = "105",
journal = "Physical Review B: Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "14",

}

RIS

TY - JOUR

T1 - Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition

AU - Boorman, T.

AU - Szyniszewski, M.

AU - Schomerus, H.

AU - Romito, A.

N1 - © 2022 American Physical Society

PY - 2022/4/1

Y1 - 2022/4/1

N2 - We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and disordered Hamiltonian. We employ continuous measurements of variable strength to induce a transition from volume to area-law scaling of the steady-state entanglement entropy. While static background disorder systematically reduces the critical measurement strength, this critical value depends non-monotonically on the strength of non-static noise. According to the extracted fine-size scaling exponents, the universality class of the transition is independent of the noise and disorder strength. We interpret the results in terms of the effect of static and non-static disorder on the intricate dynamics of the entanglement generation rate due to the Hamiltonian in the absence of measurement, which is fully reflected in the behavior of the critical measurement strength. Our results establish a firm connection between this entanglement growth and the steady-state behavior of the measurement-controlled systems, which therefore can serve as a tool to quantify and investigate features of transient entanglement dynamics in complex many-body systems via a steady-state phase transition.

AB - We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and disordered Hamiltonian. We employ continuous measurements of variable strength to induce a transition from volume to area-law scaling of the steady-state entanglement entropy. While static background disorder systematically reduces the critical measurement strength, this critical value depends non-monotonically on the strength of non-static noise. According to the extracted fine-size scaling exponents, the universality class of the transition is independent of the noise and disorder strength. We interpret the results in terms of the effect of static and non-static disorder on the intricate dynamics of the entanglement generation rate due to the Hamiltonian in the absence of measurement, which is fully reflected in the behavior of the critical measurement strength. Our results establish a firm connection between this entanglement growth and the steady-state behavior of the measurement-controlled systems, which therefore can serve as a tool to quantify and investigate features of transient entanglement dynamics in complex many-body systems via a steady-state phase transition.

KW - quant-ph

KW - cond-mat.dis-nn

KW - cond-mat.mes-hall

KW - cond-mat.stat-mech

KW - cond-mat.str-el

U2 - 10.1103/PhysRevB.105.144202

DO - 10.1103/PhysRevB.105.144202

M3 - Journal article

VL - 105

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 14

M1 - 144202

ER -