Ancilla quantum measurements on interacting chains: Sensitivity of entanglement dynamics to the type and concentration of detectors

Abstract

We consider a quantum many-body lattice system that is coupled to ancillary degrees of freedom (``detectors''), which are periodically measured by means of strong projective measurements. The concentration ${\rho }_a$ of ancillae and their coupling $M$ to the main system are considered as parameters. We explore the dynamics of density and of entanglement entropy in the chain, for various values of ${\rho }_a$ and $M$ for two models of the detector-chain interaction that couple the local density in the chain to a detector degree of freedom. It is found that, for the density-density ($S_z{s}_z$-type in spin language) coupling, the critical values $M_c$ for the measurement-induced entanglement transition depends sensitively on ${\rho }_a$. Moreover, our results indicate that for a sufficiently small ${\rho }_a$ the transition in this model disappears, i.e., a finite density of detectors is needed to reach a disentangling phase. The behavior is qualitatively different for the second model, with density-hopping ($S_z{s}_x$-type) coupling. Specifically, the dynamics is much less sensitive to the concentration ${\rho }_a$ of detectors than in the first model. Furthermore, the dependence of entanglement on the coupling strength $M$ is strongly non-monotonic, indicating re-entrance of the entangling phase at large $M$.

arXiv comment13 pages, 10 figures + 12 pages of Supplemental Material

References in corpus (80)

• Quantum Computing in the NISQ era and beyond
• Decoherence, einselection, and the quantum origins of the classical
• The density-matrix renormalization group in the age of matrix product states
• Chaos and Quantum Thermalization
• Average Entropy of a Subsystem
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Unifying time evolution and optimization with matrix product states
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Time-evolution methods for matrix-product states
• 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
• Random Quantum Circuits
• Unitary-projective entanglement dynamics
• Quantum Error Correction in Scrambling Dynamics and Measurement-Induced Phase Transition
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• 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
• Observation of measurement-induced quantum phases in a trapped-ion quantum computer
• Entanglement phase transitions in measurement-only dynamics
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits
• Measurement Protected Quantum Phases
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Postselection-free entanglement dynamics via spacetime duality
• Measurement-induced quantum criticality under continuous monitoring
• Measurement-induced criticality in (2+1)-d hybrid quantum circuits
• Measurement-induced entanglement and teleportation on a noisy quantum processor
• Measurement-induced phase transition: A case study in the non-integrable model by density-matrix renormalization group calculations
• Experimental Realization of a Measurement-Induced Entanglement Phase Transition on a Superconducting Quantum Processor
• SYK meets non-Hermiticity II: measurement-induced phase transition
• Entanglement and charge-sharpening transitions in U(1) symmetric monitored quantum circuits
• Entanglement Transition in the Projective Transverse Field Ising Model
• Fate of measurement-induced phase transition in long-range interactions
• Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
• Emergent conformal symmetry in non-unitary random dynamics of free fermions
• Universality of entanglement transitions from stroboscopic to continuous measurements
• Growth of entanglement entropy under local projective measurements
• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• Measurement-induced entanglement transitions in many-body localized systems
• Topological order and criticality in (2+1)D monitored random quantum circuits
• Measurement-induced dynamics of many-body systems at quantum criticality
• Theory of free fermions under random projective measurements
• Measurement-induced transitions of the entanglement scaling law in ultracold gases with controllable dissipation
• Topological transitions with continuously monitored free fermions
• Measurement-induced phase transitions in quantum automaton circuits
• Nonuniversal Entanglement Level Statistics in Projection-driven Quantum Circuits
• Nonlinear sigma models for monitored dynamics of free fermions
• Quantum criticality in the nonunitary dynamics of $(2+1)$-dimensional free fermions
• Entanglement entropy scaling transition under competing monitoring protocols
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Measurement-induced phase transition for free fermions above one dimension
• Controlling entanglement at absorbing state phase transitions in random circuits
• Disordered monitored free fermions
• 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
• Scrambling Transition in a Radiative Random Unitary Circuit
• Continuous Gaussian Measurements of the Free Boson CFT: A model for Exactly Solvable and Detectable Measurement-Induced Dynamics
• Entanglement in one-dimensional critical state after measurements
• Critical phase and spin sharpening in SU(2)-symmetric monitored quantum circuits
• Dynamics of measured many-body quantum chaotic systems
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
• Measurement-altered Ising quantum criticality
• Localization properties in disordered quantum many-body dynamics under continuous measurement
• Nonlocality and entanglement in measured critical quantum Ising chains
• Diagnosing entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
• Universal KPZ scaling in noisy hybrid quantum circuits
• Measurement-induced transitions beyond Gaussianity: a single particle description
• Keldysh Nonlinear Sigma Model for a Free-Fermion Gas under Continuous Measurements
• Interactions and integrability in weakly monitored Hamiltonian systems
• Evolution of many-body systems under ancilla quantum measurements
• Measurement induced criticality in quasiperiodic modulated random hybrid circuits
• Localization, fractality, and ergodicity in a monitored qubit

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