Measurement induced transitions in non-Markovian free fermion ladders

Abstract

Recently there has been an intense effort to understand measurement induced transitions, but we still lack a good understanding of non-Markovian effects on these phenomena. To that end, we consider two coupled chains of free fermions, one acting as the system of interest, and one as a bath. The bath chain is subject to Markovian measurements, resulting in an effective non-Markovian dissipative dynamics acting on the system chain which is still amenable to numerical studies in terms of quantum trajectories. Within this setting, we study the entanglement within the system chain, and use it to characterize the phase diagram depending on the ladder hopping parameters and on the measurement probability. For the case of pure state evolution, the system is in an area law phase when the internal hopping of the bath chain is small, while a non-area law phase appears when the dynamics of the bath is fast. The non-area law exhibits a logarithmic scaling of the entropy compatible with a conformal phase, but also displays linear corrections for the finite system sizes we can study. For the case of mixed state evolution, we instead observe regions with both area, and non-area scaling of the entanglement negativity. We quantify the non-Markovianity of the system chain dynamics and find that for the regimes of parameters we study, a stronger non-Markovianity is associated to a larger entanglement within the system.

References in corpus (93)

• Three qubits can be entangled in two inequivalent ways
• Scaling of Entanglement close to a Quantum Phase Transitions
• Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Entanglement and non-Markovianity of quantum evolutions
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Quantum trajectories and open many-body quantum systems
• Operator Spreading in Random Unitary Circuits
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Quantum Entanglement Growth Under Random Unitary Dynamics
• Assessing non-Markovian dynamics
• 1/f noise: implications for solid-state quantum information
• Measurement-driven entanglement transition in hybrid quantum circuits
• Keldysh Field Theory for Driven Open Quantum Systems
• Theory of the phase transition in random unitary circuits with measurements
• Measurement-induced criticality in random quantum circuits
• Time crystals: a review
• Strong dissipation inhibits losses and induces correlations in cold molecular gases
• Critical properties of the measurement-induced transition in random quantum circuits
• Observation of a dynamical topological phase transition
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Dynamical Critical Phenomena in Driven-Dissipative Systems
• Decoherence and 1/f noise in Josephson qubits
• Stochastic wave function method for non-Markovian quantum master equations
• 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
• Emergent statistical mechanics of entanglement in random unitary circuits
• Entanglement phase transitions in measurement-only dynamics
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits
• Statistical mechanics of quantum error correcting codes
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Unconventional magnetism via optical pumping of interacting spin systems
• Measurement-induced criticality in (2+1)-d hybrid quantum circuits
• Cluster mean-field approach to the steady-state phase diagram of dissipative spin systems
• Entanglement entropy of two disjoint blocks in XY chains
• Universal non-equilibrium properties of dissipative Rydberg gases
• Genuine quantum trajectories for non-Markovian processes
• Nonequilibrium many-body steady states via Keldysh formalism
• Entanglement and purification transitions in non-Hermitian quantum mechanics
• Efficient classical simulation of random shallow 2D 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
• Quantum critical regime in a quadratically-driven nonlinear photonic lattice
• Interaction-induced impeding of decoherence and anomalous diffusion
• Driven Markovian Quantum Criticality
• Monogamy properties of quantum and classical correlations
• Many-Body Quantum Zeno Effect and Measurement-Induced Subradiance Transition
• An alternative non-Markovianity measure by divisibility of dynamical map
• Theory of free fermions under random projective measurements
• Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
• Efficient classical simulation of noisy random quantum circuits in one dimension
• Entanglement Negativity at Measurement-Induced Criticality
• Measurement-induced phase transitions in $(d+1)$-dimensional stabilizer circuits
• Emergence of glass-like dynamics for dissipative and strongly interacting bosons
• Volume-to-Area Law Entanglement Transition in a non-Hermitian Free Fermionic Chain
• Open system quantum dynamics with correlated initial states, not completely positive maps and non-Markovianity
• Fermionic Gaussian states: an introduction to numerical approaches
• Entanglement negativity bounds for fermionic Gaussian states
• Measurement-Induced Power-Law Negativity in an Open Monitored Quantum Circuit
• Twisted and untwisted negativity spectrum of free fermions
• Quantum criticality in the nonunitary dynamics of $(2+1)$-dimensional free fermions
• Two-time Correlations Probing the Dynamics of Dissipative Many-Body Quantum Systems: Aging and Fast Relaxation
• Monitored Open Fermion Dynamics: Exploring the Interplay of Measurement, Decoherence, and Free Hamiltonian Evolution
• Nonequlibrium particle and energy currents in quantum chains connected to mesoscopic Fermi reservoirs
• Exotic attractors of the non-equilibrium Rabi-Hubbard model
• Single T gate in a Clifford circuit drives transition to universal entanglement spectrum statistics
• A universal approach to quantum thermodynamics in the strong coupling regime
• Finite-temperature entanglement negativity of free fermions
• A simple proof of monogamy of entanglement
• Transient trapping into metastable states in systems with competing orders
• Measuring and using non-markovianity
• Coherence requirements for quantum communication from hybrid circuit dynamics
• Non-equilibrium fixed points of coupled Ising models
• Exploring quantum phases by driven dissipation
• Quantum thermodynamics of the resonant-level model with driven system-bath coupling
• The Negativity Hamiltonian: An operator characterization of mixed-state entanglement
• Measurement-Induced Phase Transition in a Quantum Spin System
• Entanglement transitions and quantum bifurcations under continuous long-range monitoring
• Diagrammatic method for many-body non-Markovian dynamics: memory effects and entanglement transitions
• Characterizing (non-)Markovianity through Fisher Information
• Entanglement dynamics with string measurement operators
• Negative absolute conductivity in photoexcited metals
• Polarity dependent heating at the phase interface in metal-insulator transitions
• Quantifying Non-Markovianity in Open Quantum Dynamics
• Lecture Notes: Introduction to random unitary circuits and the measurement-induced entanglement phase transition

Cited by in corpus (18)

• Entanglement phases, localization and multifractality of monitored free fermions in two dimensions
• Measurement-induced transitions for interacting fermions
• Entanglement Structure and Information Protection in Noisy Hybrid Quantum Circuits
• Measurement-induced symmetry restoration and quantum Mpemba effect
• Generalized Zeno effect and entanglement dynamics induced by fermion counting
• Entanglement enhancement induced by noise in inhomogeneously monitored systems
• Generalizing measurement-induced phase transitions to information exchange symmetry breaking
• Noise Classification in Three-Level Quantum Networks by Machine Learning
• Entanglement phase transitions in non-Hermitian Kitaev chains
• Semiclassical Quantum Trajectories in the Monitored Lipkin-Meshkov-Glick Model
• Entanglement behavior and localization properties in monitored fermion systems
• Absence of measurement- and unraveling-induced entanglement transitions in continuously monitored one-dimensional free fermions
• Entanglement transition in unitary system-bath dynamics
• Stacked quantum Ising systems and quantum Ashkin-Teller model
• Computable measures of non-Markovianity for Gaussian free fermion systems
• Markovian to non-Markovian phase transition in the operator dynamics of a mobile impurity
• Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting
• Noisy Monitored Quantum Circuits