Entanglement dynamics of a many-body localized system coupled to a bath

Abstract

The combination of strong disorder and interactions in closed quantum systems can lead to many-body localization (MBL). However this quantum phase is not stable when the system is coupled to a thermal environment. We investigate how MBL is destroyed in systems that are weakly coupled to a dephasive Markovian environment by focusing on their entanglement dynamics. We numerically study the third Rényi negativity $R_3$, a recently proposed entanglement proxy based on the negativity that captures the unbounded logarithmic growth in the closed case and that can be computed efficiently with tensor networks. We also show that the decay of $R_3$ follows a stretched exponential law, similarly to the imbalance, with however a smaller stretching exponent.

References in corpus (59)

• Quantum entanglement
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Many body localization and thermalization in quantum statistical mechanics
• Entanglement detection
• Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
• Many-body localization, thermalization, and entanglement
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• The many-body localization phase transition
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• Sudden Death of Entanglement
• Unbounded growth of entanglement in models of many-body localization
• Many body localization in Heisenberg XXZ magnet in a random field
• Phenomenology of fully many-body-localized systems
• A phenomenology of certain many-body-localized systems
• Local conservation laws and the structure of the many-body localized states
• Many-body localization in a quantum simulator with programmable random disorder
• Quantum metrology from a quantum information science perspective
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Universal slow growth of entanglement in interacting strongly disordered systems
• Probing entanglement entropy via randomized measurements
• Fisher information and multiparticle entanglement
• Multipartite entanglement and high precision metrology
• Probing entanglement in a many-body-localized system
• Entanglement negativity in quantum field theory
• Efficient numerical simulations with Tensor Networks: Tensor Network Python (TeNPy)
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Measuring multipartite entanglement via dynamic susceptibilities
• Many-body localization in one dimension as a dynamical renormalization group fixed point
• Entanglement negativity in extended systems: A field theoretical approach
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
• Concurrence of mixed multi-partite quantum states
• Probing Slow Relaxation and Many-Body Localization in Two-Dimensional Quasi-Periodic Systems
• Operator space entanglement entropy in transverse Ising chain
• Rare region effects and dynamics near the many-body localization transition
• Quantum critical behavior at the many-body-localization transition
• Low-frequency conductivity in many-body localized systems
• Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
• Robustness of many-body localization in the presence of dissipation
• Dynamics of a Many-Body-Localized System Coupled to a Bath
• The power of random measurements: measuring Tr(ρ^n) on single copies of ρ
• Machine Learning Assisted Many-Body Entanglement Measurement
• Influence of dephasing on many-body localization
• Unitary $n$-designs via random quenches in atomic Hubbard and Spin models: Application to the measurement of Rényi entropies
• Single-copies estimation of entanglement negativity
• Comments on Entanglement Negativity in Holographic Field Theories
• Signatures of the many-body localization transition in the dynamics of entanglement and bipartite fluctuations
• Efficient unitary designs with nearly time-independent Hamiltonian dynamics
• Role of interactions in a dissipative many-body localized system
• Noiseless Quantum Circuits for the Peres Separability Criterion
• Entanglement Renyi negativity across a finite temperature transition: a Monte Carlo study
• Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
• Activating many-body localization in solids by driving with light
• Signatures of many-body localization in steady states of open quantum systems
• Novel Schemes for Directly Measuring Entanglement of General States
• Length scales in the many-body localized phase and their spectral signatures
• Scale Invariant Entanglement Negativity at the Many-Body Localization Transition

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• Symmetry decomposition of negativity of massless free fermions
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• Hilbert Space Fragmentation in Open Quantum Systems
• Entanglement transitions as a probe of quasiparticles and quantum thermalization
• Statics and Dynamics of non-Hermitian Many-Body Localization
• Propagation of Many-body Localization in an Anderson Insulator
• Mixed-state entanglement and information recovery in thermalized states and evaporating black holes
• Highly entangled stationary states from strong symmetries
• Signatures of Many-Body Localization in the Dynamics of Two-Level Systems in Glasses
• Localization of a mobile impurity interacting with an Anderson insulator
• Tracking the variation of entanglement Rényi negativity: a quantum Monte Carlo study
• Spatio-temporal heterogeneity of entanglement in many-body localized systems
• Simulating open quantum systems with giant atoms
• Relating Heat and Entanglement in Strong Coupling Thermodynamics
• Entanglement phase diagrams from partial transpose moments
• Many-body localization proximity effect in two-species bosonic Hubbard model
• Dynamics of Negativity of a Wannier-Stark Many-Body Localized System Coupled to a Bath
• Efficient separation of quantum from classical correlations for mixed states with a fixed charge
• Quench dynamics of Rényi negativities and the quasiparticle picture
• Many-body Liouvillian dynamics with a non-Hermitian tensor-network kernel polynomial algorithm
• Entanglement Dynamics between Ising Spins and a Central Ancilla
• Finite steady-state current defies non-Hermitian many-body localization
• Stability and Dynamics of Many-Body Localized Systems Coupled to Small Bath
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain
• Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
• Scaling of entanglement entropy at quantum critical points in random spin chains
• Aperiodic Dissipation as a Mechanism for Steady-State Localization
• Kinetically constrained models constructed from dissipative quantum dynamics
• Localization-delocalization effects of a delocalizing dissipation on disordered XXZ spin chains
• Non-Markovianity Benefits Quantum Dynamics Simulation