Dynamics of measured many-body quantum chaotic systems

Abstract

We consider the dynamics of continuously measured many-body chaotic quantum systems. Focusing on the observable of state purification, we analytically describe the limits of strong and weak measurement rate, where in the latter case monitoring up to time scales exponentially long in the numbers of particles is required. We complement the analysis of the limiting regimes with the construction of an effective replica theory providing information on the stability and the symmetries of the respective phases. The analytical results are tested by comparison to exact numerical simulations for a measured SYK model.

4pages, 3 figures

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• Disordered monitored free fermions
• Measurement-induced criticality as a data-structure transition
• Lindbladian dynamics of the Sachdev-Ye-Kitaev model
• Purification Timescales in Monitored Fermions
• Majorana Loop Models for Measurement-Only Quantum Circuits
• Many-body Dynamics in Monitored Atomic Gases Without Post-Selection Barrier
• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• Measurement-induced transitions for interacting fermions
• Many-Body Open Quantum Systems
• Measurements on an Anderson Chain
• Interactions and integrability in weakly monitored Hamiltonian systems
• Evolution of many-body systems under ancilla quantum measurements
• Chaos and magic in the dissipative quantum kicked top
• Localization, fractality, and ergodicity in a monitored qubit
• The impact of different unravelings in a monitored system of free fermions
• Measurement-induced phase transition in teleportation and wormholes
• Entanglement Transition due to particle losses in a monitored fermionic chain
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Nonstabilizerness of a Boundary Time Crystal
• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Observable-projected ensembles
• Phase transitions induced by standard and predetermined measurements in transmon arrays
• Trajectory phase transitions in non-interacting systems: all-to-all dynamics and the random energy model
• Quench dynamics of entanglement entropy under projective charge measurements: the free fermion case
• Entanglement behavior and localization properties in monitored fermion systems
• Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems
• Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
• Information Bounds on phase transitions in disordered systems