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

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 mo...

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Bibliographic Details
Published in:arXiv.org 2024-10
Main Authors: Delmonte, Anna, Li, Zejian, Passarelli, Gianluca, Song, Eric Yilun, Barberena, Diego, Rey, Ana Maria, Fazio, Rosario
Format: Article
Language:English
Subjects:
Entanglement
Phase transitions
Polynomials
Sequences
Online Access:Get full text
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Summary: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.
ISSN:2331-8422