Entanglement dynamics with string measurement operators

Abstract

We explain how to apply a Gaussian-preserving operator to a fermionic Gaussian state. We use this method to study the evolution of the entanglement entropy of an Ising spin chain following a Lindblad dynamics with string measurement operators, focusing on the quantum-jump unraveling of such Lindbladian. We find that the asymptotic entanglement entropy obeys an area law for finite-range string operators and a volume law for ranges of the string which scale with the system size. The same behavior is observed for the measurement-only dynamics, suggesting that measurements can play a leading role in this context.

arXiv comment27 pages, 4 figures

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• Measurement induced transitions in non-Markovian free fermion ladders
• The impact of different unravelings in a monitored system of free fermions
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Nonstabilizerness of a Boundary Time Crystal
• Many-body quantum heat engines based on free-fermion systems
• Measurement-induced phase transition in free bosons
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Entanglement behavior and localization properties in monitored fermion systems
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Theory of the correlated quantum Zeno effect in a monitored qubit dimer
• Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain