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    Rights statement: © 2019 American Physical Society

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Entanglement transition from variable-strength weak measurements

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Entanglement transition from variable-strength weak measurements. / Szyniszewski, Marcin; Romito, Alessandro; Schomerus, Henning.

In: Physical review B, Vol. 100, No. 6, 22.08.2019, p. 064204.

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@article{7966d56ab9f5420682b644afa772bd51,
title = "Entanglement transition from variable-strength weak measurements",
abstract = "We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement strength exceeds a critical value. We demonstrate this effect for a one-dimensional quantum circuit evolving under random unitary transformations and generic positive operator-valued measurements of variable strength. As opposed to projective measurements describing a restricted class of open systems, the measuring device is modeled as a continuous Gaussian probe, capturing a large class of environments. By employing data collapse and studying the enhanced fluctuations at the transition, we obtain a consistent phase boundary in the space of the measurement strength and the measurement probability, clearly demonstrating a critical value of the measurement strength below which the system is always ergodic, irrespective of the measurement probability. These findings provide guidance for quantum engineering of many-body systems by controlling their environment.",
author = "Marcin Szyniszewski and Alessandro Romito and Henning Schomerus",
note = "{\circledC} 2019 American Physical Society",
year = "2019",
month = "8",
day = "22",
doi = "10.1103/PhysRevB.100.064204",
language = "English",
volume = "100",
pages = "064204",
journal = "Physical Review B: Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "6",

}

RIS

TY - JOUR

T1 - Entanglement transition from variable-strength weak measurements

AU - Szyniszewski, Marcin

AU - Romito, Alessandro

AU - Schomerus, Henning

N1 - © 2019 American Physical Society

PY - 2019/8/22

Y1 - 2019/8/22

N2 - We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement strength exceeds a critical value. We demonstrate this effect for a one-dimensional quantum circuit evolving under random unitary transformations and generic positive operator-valued measurements of variable strength. As opposed to projective measurements describing a restricted class of open systems, the measuring device is modeled as a continuous Gaussian probe, capturing a large class of environments. By employing data collapse and studying the enhanced fluctuations at the transition, we obtain a consistent phase boundary in the space of the measurement strength and the measurement probability, clearly demonstrating a critical value of the measurement strength below which the system is always ergodic, irrespective of the measurement probability. These findings provide guidance for quantum engineering of many-body systems by controlling their environment.

AB - We show that weak measurements can induce a quantum phase transition of interacting many-body systems from an ergodic thermal phase with a large entropy to a nonergodic localized phase with a small entropy, but only if the measurement strength exceeds a critical value. We demonstrate this effect for a one-dimensional quantum circuit evolving under random unitary transformations and generic positive operator-valued measurements of variable strength. As opposed to projective measurements describing a restricted class of open systems, the measuring device is modeled as a continuous Gaussian probe, capturing a large class of environments. By employing data collapse and studying the enhanced fluctuations at the transition, we obtain a consistent phase boundary in the space of the measurement strength and the measurement probability, clearly demonstrating a critical value of the measurement strength below which the system is always ergodic, irrespective of the measurement probability. These findings provide guidance for quantum engineering of many-body systems by controlling their environment.

U2 - 10.1103/PhysRevB.100.064204

DO - 10.1103/PhysRevB.100.064204

M3 - Journal article

VL - 100

SP - 064204

JO - Physical Review B: Condensed Matter and Materials Physics

JF - Physical Review B: Condensed Matter and Materials Physics

SN - 1098-0121

IS - 6

ER -