Measurement-induced phase transitions in monitored infinite-range interacting systems

• URL: http://arxiv.org/abs/2410.05394v1
• Date: Mon, 7 Oct 2024 18:01:08 GMT
• Title: Measurement-induced phase transitions in monitored infinite-range interacting systems
• Authors: Anna Delmonte, Zejian Li, Gianluca Passarelli, Eric Yilun Song, Diego Barberena, Ana Maria Rey, Rosario Fazio,
• Abstract summary: A key challenge in observing measurement-induced phase transitions is the mitigation of the post-selection barrier. Recent studies suggest that some classes of infinite-range systems alleviate this problem by exhibiting a fast saturation. This paper answers whether this feature is inherent in infinite-range systems, due to their underlying semi-classical dynamics.
• Score: 3.2804359160338903
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: A key challenge in observing measurement-induced phase transitions is the mitigation of the post-selection barrier, which causes the reproducibility of specific sequences of measurement readouts--the trajectory--to be exponentially small in system size. Recent studies suggest that some classes of monitored infinite-range systems alleviate this problem by exhibiting a fast saturation of entanglement, resulting in only a polynomial post-selection overhead. This paper answers whether this feature is inherent in infinite-range systems, due to their underlying semiclassical dynamics. We consider three experimentally relevant monitored models: a Tavis-Cummings model, a Superradiance model, and a Bose-Hubbard dimer, each exhibiting non-trivial monitored dynamics. We unveil the occurrence of entanglement phase transitions in these models, showing how the saturation time is strongly affected by bistability regions, which also prevent the mitigation of the post-selection barrier. Finally, we propose experimental realizations of these models, providing a discussion of post selection from an experimental perspective.

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