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.

arXiv comment12 pages, 6 figures

References in corpus (57)

• Quantum entanglement
• Unpaired Majorana fermions in quantum wires
• Entanglement in quantum critical phenomena
• Many-body localization, thermalization, and entanglement
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Measurement-driven entanglement transition in hybrid quantum circuits
• Theory of the phase transition in random unitary circuits with measurements
• Measurement-induced criticality in random quantum circuits
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Unitary-projective entanglement dynamics
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Dynamical purification phase transitions induced by quantum measurements
• Critical properties of the measurement-induced transition in random quantum circuits
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Entanglement in a fermion chain under continuous monitoring
• Scalable probes of measurement-induced criticality
• Measurement-Induced Entanglement Transitions in the Quantum Ising Chain: From Infinite to Zero Clicks
• Entanglement transition from variable-strength weak measurements
• Entanglement dynamics after quantum quenches in generic integrable systems
• Dynamical Quantum Phase Transitions in Spin Chains with Long-Range Interactions: Merging different concepts of non-equilibrium criticality
• Entanglement phase transitions in measurement-only dynamics
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Measurement-induced quantum criticality under continuous monitoring
• Measurement-induced criticality in (2+1)-d hybrid quantum circuits
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Measurement-induced dark state phase transitions in long-ranged fermion systems
• Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
• Entanglement Transition in the Projective Transverse Field Ising Model
• Fate of measurement-induced phase transition in long-range interactions
• Symmetry enriched phases of quantum circuits
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Entanglement and dynamics of diffusion-annihilation processes with Majorana defects
• Universality of entanglement transitions from stroboscopic to continuous measurements
• Emergent conformal symmetry in non-unitary random dynamics of free fermions
• Growth of entanglement entropy under local projective measurements
• Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
• Measurement-induced entanglement transitions in many-body localized systems
• Measurement-induced dynamics of many-body systems at quantum criticality
• Measurement-induced criticality and entanglement clusters: a study of 1D and 2D Clifford circuits
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations
• How Dynamical Quantum Memories Forget
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Transitions in the learnability of global charges from local measurements
• Entanglement transitions with free fermions
• Full counting statistics as probe of measurement-induced transitions in the quantum Ising chain
• Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization
• Purification Timescales in Monitored Fermions
• Dynamics of measured many-body quantum chaotic systems
• Dissipative time crystals with long-range Lindbladians
• Neural-Network Decoders for Measurement Induced Phase Transitions
• Dynamical scaling of correlations generated by short- and long-range dissipation
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Quantum annealing speedup over simulated annealing on random Ising chains
• Universality class of Ising critical states with long-range losses
• Non-ergodic behaviour of clean Bose-Hubbard chains

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• Interactions and integrability in weakly monitored Hamiltonian systems
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• Measurement induced transitions in non-Markovian free fermion ladders
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain
• Chaos and magic in the dissipative quantum kicked top
• 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
• 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
• Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
• 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
• 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