Quantum reservoir probing of quantum phase transitions

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Hauptverfasser: Kobayashi, Kaito, Motome, Yukitoshi
Format: Preprint
Veröffentlicht: 2024
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author Kobayashi, Kaito
Motome, Yukitoshi
author_facet Kobayashi, Kaito
Motome, Yukitoshi
contents Quantum phase transitions are highly remarkable phenomena manifesting in quantum many-body systems. However, their precise identifications in equilibrium systems pose significant theoretical and experimental challenges. Thus far, dynamical detection protocols employing global quantum quenches have been proposed, wherein transitions are discerned via global nonequilibrium excitations. In this work, we demonstrate that quantum phase transitions can be detected through localized out-of-equilibrium excitations induced by local quantum quenches. While the resulting dynamics after the quench is influenced by both the local quench operation and the intrinsic dynamics of the quantum system, the effects of the former are exclusively extracted using the cutting-edge framework called quantum reservoir probing (QRP). Through the QRP, we find that the impacts of the local quenches vary across different quantum phases and are significantly suppressed by quantum fluctuations amplified near quantum critical points; consequently, phase boundaries are precisely delineated. We demonstrate that the QRP can detect quantum phase transitions in the paradigmatic integrable and nonintegrable quantum spin systems, and even topological quantum phase transitions, all within the identical framework employing local quantum quenches and single-site observables.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07097
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Quantum reservoir probing of quantum phase transitions
Kobayashi, Kaito
Motome, Yukitoshi
Quantum Physics
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
Quantum phase transitions are highly remarkable phenomena manifesting in quantum many-body systems. However, their precise identifications in equilibrium systems pose significant theoretical and experimental challenges. Thus far, dynamical detection protocols employing global quantum quenches have been proposed, wherein transitions are discerned via global nonequilibrium excitations. In this work, we demonstrate that quantum phase transitions can be detected through localized out-of-equilibrium excitations induced by local quantum quenches. While the resulting dynamics after the quench is influenced by both the local quench operation and the intrinsic dynamics of the quantum system, the effects of the former are exclusively extracted using the cutting-edge framework called quantum reservoir probing (QRP). Through the QRP, we find that the impacts of the local quenches vary across different quantum phases and are significantly suppressed by quantum fluctuations amplified near quantum critical points; consequently, phase boundaries are precisely delineated. We demonstrate that the QRP can detect quantum phase transitions in the paradigmatic integrable and nonintegrable quantum spin systems, and even topological quantum phase transitions, all within the identical framework employing local quantum quenches and single-site observables.
title Quantum reservoir probing of quantum phase transitions
topic Quantum Physics
Quantum Gases
Statistical Mechanics
Strongly Correlated Electrons
url https://arxiv.org/abs/2402.07097