Entanglement transitions and quantum bifurcations under continuous long-range monitoring

Abstract

We study the asymptotic bipartite entanglement entropy of the quantum trajectories of a free-fermionic system, when subject to a continuous nonlocal monitoring. The measurements are described by Gaussian-preserving two-point operators, whose strength decays as a power-law with exponent $\alpha$. Different behaviors of the entanglement entropy with the system size emerge: for $\alpha$ below a given threshold value a volume-law behavior sets in, while for larger $\alpha$ we observe a transition from subvolume to area-law, whose exact location depends on the measurements rate and on the presence of a Hamiltonian dynamics. We also consider the expectation probability distribution of the measurement operators, and find that this distribution features a transition from a unimodal to a bimodal shape. We discuss the possible connections between this qualitative change of the distribution and the entanglement transition points.

12 pages, 6 figures

References in corpus (3)

• Critical properties of the measurement-induced transition in random quantum circuits
• Entanglement Transition in the Projective Transverse Field Ising Model
• Transitions in the learnability of global charges from local measurements

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• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Nonstabilizerness in the unitary and monitored quantum dynamics of XXZ-staggered and SYK models
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Measurement-induced Lévy flights of quantum information
• Measurement-induced phase transition in free bosons
• Field theory for monitored Brownian SYK clusters
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
• Measurement-induced phase transition in periodically driven free-fermionic systems
• Entanglement behavior and localization properties in monitored fermion systems
• Quantization of nonlinear non-Hamiltonian systems
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Measurement-Induced Phase Transition in a Disordered XX Spin Chain: A Real-Space Renormalization Group Study
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Controlled Zeno-Induced Localization of Free Fermions in a Quasiperiodic Chain