Measurement-induced phase transitions in systems with diffusive dynamics

• URL: http://arxiv.org/abs/2405.08861v2
• Date: Thu, 03 Oct 2024 17:12:33 GMT
• Title: Measurement-induced phase transitions in systems with diffusive dynamics
• Authors: Hyunsoo Ha, Akshat Pandey, Sarang Gopalakrishnan, David A. Huse,
• Abstract summary: We show that the universality class of the MIPT is drastically altered when the system is coupled to a conserved density. We find Griffiths-like'' effects due to rare space-time regions where the diffusive measurers have a low or high density.
• Score: 0.8861685735369552
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• Abstract: The competition between scrambling and projective measurements can lead to measurement-induced entanglement phase transitions (MIPT). In this work, we show that the universality class of the MIPT is drastically altered when the system is coupled to a diffusing conserved density. Specifically, we consider a 1+1d random Clifford circuit locally monitored by classically diffusing particles (``measurers''). The resulting diffusive correlations in the measurement density are a relevant perturbation to the usual space-time random MIPT critical point, producing a new universality class for this phase transition. We find ``Griffiths-like'' effects due to rare space-time regions where, e.g., the diffusive measurers have a low or high density, but these are considerably weaker than the Griffiths effects that occur with quenched randomness that produce rare spatial regions with infinite lifetime.

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