Measurement-induced phase transition in a classical, chaotic many-body system

Abstract

Local measurements in quantum systems are projective operations which act to counteract the spread of quantum entanglement. Recent work has shown that local, random measurements applied to a generic volume-law entanglement generating many-body system are able to force a transition into an area-law phase. This work shows that projective operations can also force a similar classical phase transition; we show that local projections in a chaotic system can freeze information dynamics. In rough analogy with measurement-induced phase transitions, this is characterized by an absence of information spreading instead of entanglement entropy. We leverage a damage-spreading model of the classical transition to predict the butterfly velocity of the system both near to and away from the transition point. We map out the full phase diagram and show that the critical point is shifted by local projections, but remains in the directed percolation universality class. We discuss the implication for other classical chaotic many-body systems.

References in corpus (5)

• Measurement-induced phase transitions in quantum automaton circuits
• Classical many-body chaos with and without quasiparticles
• Quantum State Complexity in Computationally Tractable Quantum Circuits
• Critically slow operator dynamics in constrained many-body systems
• Butterfly Effect and Spatial Structure of Information Spreading in a Chaotic Cellular Automaton

Cited by in corpus (22)

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• Coherence requirements for quantum communication from hybrid circuit dynamics
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• Detecting and stabilizing measurement-induced symmetry-protected topological phases in generalized cluster models
• KPZ physics and phase transition in a classical single random walker under continuous measurement
• Bridging the gap between classical and quantum many-body information dynamics
• Entanglement Transitions in Unitary Circuit Games
• A Dyson Brownian motion model for weak measurements in chaotic quantum systems
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Constrained Dynamics and Directed Percolation
• Principal component analysis of absorbing state phase transitions
• A universal crossover in quantum circuits governed by a proximate classical error correction transition
• Semiclassical Limit of Measurement-Induced Transition in Many-Body Chaos in Integrable and Nonintegrable Oscillator Chains
• Measurement-Induced Phase Transitions in Informational Active Matter
• Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
• Entanglement phase transitions in non-Hermitian Kitaev chains
• Monitored Fluctuating Hydrodynamics
• Elusive phase transition in the replica limit of monitored systems
• Plaquette Models, Cellular Automata, and Measurement-induced Criticality
• Localization of information driven by stochastic resetting