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Main Authors: Wang, Yu-Peng, Fang, Chen, Ren, Jie
Format: Preprint
Published: 2022
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Online Access:https://arxiv.org/abs/2209.11241
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author Wang, Yu-Peng
Fang, Chen
Ren, Jie
author_facet Wang, Yu-Peng
Fang, Chen
Ren, Jie
contents A quantum many-body system subject to unitary evolution and repeated local measurements with an increasing rate undergoes a measurement-induced entanglement transition from extensive (or subextensive) to area law entropy scaling. We find that certain open boundary systems under "generalized monitoring", consisting of "projective monitoring" and conditional feedback, display an anomalous late-time particle concentration on the edge, reminiscent of the "skin effect" in non-Hermitian systems. Such feedback-induced skin effect will suppress the entanglement generation, rendering the system short-range entangled without measurement-induced entanglement transition. While initially emerged in noninteracting models, such skin effect can also occur in chaotic interacting systems and Floquet quantum circuits subjected to random generalized measurements. Since the dynamics of the skin effect do not require post selection, and can be observed at the particle number level, the phenomenon is experimentally relevant and accessible in noisy intermediate-scale quantum platforms, such as trapped ions.
format Preprint
id arxiv_https___arxiv_org_abs_2209_11241
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Absence of measurement-induced entanglement transition due to feedback-induced skin effect
Wang, Yu-Peng
Fang, Chen
Ren, Jie
Quantum Physics
Strongly Correlated Electrons
A quantum many-body system subject to unitary evolution and repeated local measurements with an increasing rate undergoes a measurement-induced entanglement transition from extensive (or subextensive) to area law entropy scaling. We find that certain open boundary systems under "generalized monitoring", consisting of "projective monitoring" and conditional feedback, display an anomalous late-time particle concentration on the edge, reminiscent of the "skin effect" in non-Hermitian systems. Such feedback-induced skin effect will suppress the entanglement generation, rendering the system short-range entangled without measurement-induced entanglement transition. While initially emerged in noninteracting models, such skin effect can also occur in chaotic interacting systems and Floquet quantum circuits subjected to random generalized measurements. Since the dynamics of the skin effect do not require post selection, and can be observed at the particle number level, the phenomenon is experimentally relevant and accessible in noisy intermediate-scale quantum platforms, such as trapped ions.
title Absence of measurement-induced entanglement transition due to feedback-induced skin effect
topic Quantum Physics
Strongly Correlated Electrons
url https://arxiv.org/abs/2209.11241