Measurement-induced transitions beyond Gaussianity: a single particle description

Abstract

Repeated measurements can induce entanglement phase transitions in the dynamics of quantum systems. Interacting models, both chaotic and integrable, generically show a stable volume-law entangled phase at low measurement rates which disappears for free, Gaussian fermions. Interactions break the Gaussianity of a dynamical map in its unitary part, but non-Gaussianity can be introduced through measurements as well. By comparing the entanglement and non-Gaussianity structure of different protocols, we propose a new single-particle indicator of the measurement-induced phase transition and we use it to argue in favour of the stability of the transition when non-Gaussianity is purely provided by measurements

10 pages, 4 figures

References in corpus (6)

• Many body localization in Heisenberg XXZ magnet in a random field
• Area laws in quantum systems: mutual information and correlations
• Critical properties of the measurement-induced transition in random quantum circuits
• Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
• Interactions and integrability in weakly monitored Hamiltonian systems
• FeS2 monolayer: a high valence and high-$T_{\mathrm{C}}$ Ising ferromagnet

Cited by in corpus (24)

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• Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors
• The non-stabilizerness of fermionic Gaussian states
• Universal Stochastic Equations of Monitored Quantum Dynamics
• Fermionic Magic Resources of Quantum Many-Body Systems
• Measurement-induced Lévy flights of quantum information
• Optimal trace-distance bounds for free-fermionic states: Testing and improved tomography
• Controlling measurement-induced phase transitions with tunable detector coupling
• Entangling power, gate typicality, and measurement-induced phase transitions
• Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
• Accuracy of time-dependent GGE under weak dissipation
• Mesoscopic Fluctuations and Multifractality at and across Measurement-Induced Phase Transition
• Entanglement dynamics of monitored noninteracting fermions on graphics processing units
• Random Quantum Circuits with Time-Reversal Symmetry
• Quantum dynamics of monitored free fermions: Evolution of quantum correlations and scaling at measurement-induced phase transition
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Exact solution to a Bhatnagar-Gross-Krook-type equation for quantum lattice gases with dephasing noise
• Destruction and recovery of the entanglement entropy of a many-body quantum system after a single measurement
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions