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

arXiv comment10 pages, 4 figures

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• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• 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
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• Free-Fermion Measurement-Induced Volume- to Area-Law Entanglement Transition in the Presence of Fermion Interactions