Measurement-induced phase transition in state estimation of chaotic systems and the directed polymer

Measurement-induced phase transition in state estimation of chaotic systems and the directed polymer

We introduce a solvable model of a measurement-induced phase transition (MIPT) in a deterministic but chaotic dynamical system with a positive Lyapunov exponent. In this setup, an observer only has a probabilistic description of the system but mitigates chaos-induced uncertainty through repeated mea...

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Bibliographic Details
Main Authors: Federico Gerbino, Guido Giachetti, Pierre Le Doussal, Andrea De Luca
Format: Article
Language:English
Published: American Physical Society 2025-07-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/6375-8ncz
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