Fate of Measurement-Induced Phase Transition in Long-Range Interactions

We consider quantum many-body dynamics under quantum measurements, where the measurement-induced phase transitions (MIPs) occur when changing the frequency of the measurement. In this work, we consider the robustness of the MIP for long-range interaction that decays as r^{-α} with distance r. The ef...

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Published inPhysical review letters Vol. 128; no. 1; p. 010603
Main Authors Minato, Takaaki, Sugimoto, Koudai, Kuwahara, Tomotaka, Saito, Keiji
Format Journal Article
LanguageEnglish
Published United States 07.01.2022
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Summary:We consider quantum many-body dynamics under quantum measurements, where the measurement-induced phase transitions (MIPs) occur when changing the frequency of the measurement. In this work, we consider the robustness of the MIP for long-range interaction that decays as r^{-α} with distance r. The effects of long-range interactions are classified into two regimes: (i) the MIP is observed (α>α_{c}), and (ii) the MIP is absent even for arbitrarily strong measurements (α<α_{c}). Using fermion models, we demonstrate both regimes in integrable and nonintegrable cases. We identify the underlying mechanism and propose sufficient conditions to observe the MIP, that is, α>d/2+1 for general bilinear systems and α>d+1 for general nonintegrable systems (d: spatial dimension). Numerical calculation indicates that these conditions are optimal.
ISSN:1079-7114
DOI:10.1103/physrevlett.128.010603