Growth of mutual information in a quenched one-dimensional open quantum many body system
arXiv:2001.09802 · doi:10.1103/PhysRevB.101.180301
Abstract
We study the temporal evolution of the mutual information (MI) in a one-dimensional Kitaev chain, coupled to a fermionic Markovian bath, subsequent to a global quench of the chemical potential. In the unitary case, the MI (or equivalently the bipartite entanglement entropy) saturates to a steady-state value (obeying a volume law) following a ballistic growth. On the contrary, we establish that in the dissipative case the MI is exponentially damped both during the initial ballistic growth as well as in the approach to the steady state. We observe that even in a dissipative system, postquench information propagates solely through entangled pairs of quasiparticles having a finite lifetime; this quasiparticle picture is further corroborated by the out-of-equilibrium analysis of two-point fermionic correlations. Remarkably, in spite of the finite lifetime of the quasiparticles, a finite steady-state value of the MI survives in asymptotic times which is an artifact of nonvanishing two-point correlations. Further, the finite lifetime of quasiparticles renders to a finite length scale in these steady-state correlations.
arXiv comment6+7 pages, 3+5 figures, accepted for publication in PRB(R)
References in corpus (58)
- Unpaired Majorana fermions in quantum wires
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Nonequilibrium dynamics of closed interacting quantum systems
- Entanglement in quantum critical phenomena
- Topological entanglement entropy
- Detecting topological order in a ground state wave function
- Entanglement entropy and conformal field theory
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Measuring entanglement entropy through the interference of quantum many-body twins
- Calculation of reduced density matrices from correlation functions
- Unbounded growth of entanglement in models of many-body localization
- Many body localization in Heisenberg XXZ magnet in a random field
- Light-cone-like spreading of correlations in a quantum many-body system
- Holographic Entanglement Entropy: An Overview
- Identifying Topological Order by Entanglement Entropy
- On the quantum, classical and total amount of correlations in a quantum state
- Ballistic spreading of entanglement in a diffusive nonintegrable system
- Many-body localization in periodically driven systems
- Entanglement entropy of black holes
- Entropy scaling and simulability by Matrix Product States
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Evolution of entanglement entropy following a quantum quench: Analytic results for the XY chain in a transverse magnetic field
- Entanglement Entropy dynamics in Heisenberg chains
- Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid
- Dynamical quantum phase transitions in random spin chains
- Quantum phase transition in a far from equilibrium steady state of XY spin chain
- Entropy of entanglement and correlations induced by a quench: Dynamics of a quantum phase transition in the quantum Ising model
- Evolution of entanglement after a local quench
- A short review on entanglement in quantum spin systems
- Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
- Bounds on Information Propagation in Disordered Quantum Spin Chains
- Lieb-Robinson Bound and Locality for General Markovian Quantum Dynamics
- Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
- Entanglement entropy of critical spin liquids
- Spread of entanglement and causality
- Spreading of correlations in Markovian open quantum systems
- Entanglement entropy dynamics of disordered quantum spin chains
- Entanglement evolution after connecting finite to infinite quantum chains
- Dynamics of entanglement entropy and entanglement spectrum crossing a quantum phase transition
- Entanglement in a periodic quench
- Quantum information scrambling after a quantum quench
- Photonic Simulation of Entanglement Growth After a Spin Chain Quench
- Entanglement generation in periodically driven integrable systems: dynamical phase transitions and steady state
- Aperiodically driven integrable systems and their emergent steady states
- Dissipation in adiabatic quantum computers: Lessons from an exactly solvable model
- Stretched exponential decay of Majorana edge modes in many-body localized Kitaev chains under dissipation
- One-dimensional quantum many body systems with long-range interactions
- Steady states of a quasiperiodically driven integrable system
- Entanglement entropy in a periodically driven Ising chain
- Exploring the possibilities of dynamical quantum phase transitions in the presence of a Markovian bath
- Non-equilibrium quantum dynamics after local quenches
- Evolution of two-time correlations in dissipative quantum spin systems: aging and hierarchical dynamics
- Entanglement entropy in a periodically driven quantum Ising chain
- Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
- Exact results in Floquet coin toss for driven integrable models
- The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
- Effect of double local quenches on Loschmidt echo and entanglement entropy of a one-dimensional quantum system
Cited by in corpus (36)
- Mixed-state entanglement from local randomized measurements
- Dissipative Floquet Dynamics: from Steady State to Measurement Induced Criticality in Trapped-ion Chains
- Spreading of correlations in Markovian open quantum systems
- Generalised hydrodynamics with dephasing noise
- Entanglement spreading in non-equilibrium integrable systems
- Integrability of Lindbladians from operator-space fragmentation
- Entanglement revivals as a probe of scrambling in finite quantum systems
- Entangled multiplets and unusual spreading of quantum correlations in a continuously monitored tight-binding chain
- Dissipative quasi-particle picture for quadratic Markovian open quantum systems
- Dynamics of entanglement after exceptional quantum quench
- Unbounded entanglement production via a dissipative impurity
- Mixing times and cutoffs in open quadratic fermionic systems
- Correlations at PT-symmetric quantum critical point
- Hydrodynamics of quantum entropies in Ising chains with linear dissipation
- Noninteracting fermionic systems with localized losses: Exact results in the hydrodynamic limit
- Relaxation to a Parity-Time Symmetric Generalized Gibbs Ensemble after a Quantum Quench in a Driven-Dissipative Kitaev Chain
- Entanglement transitions as a probe of quasiparticles and quantum thermalization
- Out-of-equilibrium steady states of a locally driven lossy qubit array
- Extensive Long-Range Entanglement in a Nonequilibrium Steady State
- Dissipative preparation of many-body Floquet Chern insulators
- Interplay between transport and quantum coherences in free fermionic systems
- Entanglement Entropy of Fermions from Wigner Functions: Excited States and Open Quantum Systems
- Quantum quenches in driven-dissipative quadratic fermionic systems with parity-time symmetry
- Mutual information for fermionic systems
- Entanglement Dynamics between Ising Spins and a Central Ancilla
- Exact density profile in a tight-binding chain with dephasing noise
- Exact asymptotics of long-range quantum correlations in a nonequilibrium steady state
- Exact solution of a quantum asymmetric exclusion process with particle creation and annihilation
- Nonlinear entanglement growth in inhomogeneous spacetimes
- Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains
- Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
- Entanglement dynamics in dissipative photonic Mott insulators
- Amplifying quantum correlations with quench dynamics in a quantum spin chain: Steady-states versus ground-states
- Signatures of quantum phases in a dissipative system
- Linear response and exact hydrodynamic projections in Lindblad equations with decoupled Bogoliubov hierarchies
- Ancilla measurement-based Quantum Otto engine using double-pair spin architecture