Dissipative quasi-particle picture for quadratic Markovian open quantum systems

Abstract

Correlations between different regions of a quantum many-body system can be quantified through measures based on entropies of (reduced) subsystem states. For closed systems, several analytical and numerical tools, e.g., hydrodynamic theories or tensor networks, can accurately capture the time-evolution of subsystem entropies, thus allowing for a profound understanding of the unitary dynamics of quantum correlations. However, so far, these methods either cannot be applied to open quantum systems or do not permit an efficient computation of quantum entropies for mixed states. Here, we make progress in solving this issue by formulating a dissipative quasi-particle picture -- describing the dynamics of quantum entropies in the hydrodynamic limit -- for a general class of noninteracting open quantum systems. Our results show that also in dissipative many-body systems, correlations are generically established through the propagation of quasi-particles.

arXiv comment13 pages, 3 figures. Substantial rewriting. Modified figures. As published in PRB

References in corpus (65)

• Gaussian Quantum Information
• Nonequilibrium dynamics of closed interacting quantum systems
• Evolution of Entanglement Entropy in One-Dimensional Systems
• Quantum many-body systems out of equilibrium
• Measuring entanglement entropy through the interference of quantum many-body twins
• Quantum thermalization through entanglement in an isolated many-body system
• Observation of entanglement propagation in a quantum many-body system
• Light-cone-like spreading of correlations in a quantum many-body system
• Non-local propagation of correlations in long-range interacting quantum systems
• Continuous variable quantum information: Gaussian states and beyond
• Reduced density matrices and entanglement entropy in free lattice models
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement
• Quantum Zeno Effect and the Many-body Entanglement Transition
• Generalized Gibbs ensemble in integrable lattice models
• Quench dynamics and relaxation in isolated integrable quantum spin chains
• Probing entanglement entropy via randomized measurements
• Time evolution of local observables after quenching to an integrable model
• Measurement-induced criticality in random quantum circuits
• Third quantization: a general method to solve master equations for quadratic open Fermi systems
• Entanglement and thermodynamics after a quantum quench in integrable systems
• Unitary-projective entanglement dynamics
• 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
• Quantum Quench in the Transverse Field Ising chain I: Time evolution of order parameter correlators
• Entanglement transition in a monitored free fermion chain -- from extended criticality to area law
• Entanglement Entropy dynamics in Heisenberg chains
• Spreading of correlations and entanglement after a quench in the one-dimensional Bose-Hubbard model
• Entanglement in a fermion chain under continuous monitoring
• Mixed-state entanglement from local randomized measurements
• Entanglement dynamics after quantum quenches in generic integrable systems
• Entanglement phase transitions in measurement-only dynamics
• Measurement-induced topological entanglement transitions in symmetric random quantum circuits
• The Quench Action
• Measurement and entanglement phase transitions in all-to-all quantum circuits, on quantum trees, and in Landau-Ginsburg theory
• Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
• Generalized hydrodynamics in strongly interacting 1D Bose gases
• Spectral theorem for the Lindblad equation for quadratic open fermionic systems
• Sub-ballistic growth of Rényi entropies due to diffusion
• Time evolution of correlations in strongly interacting fermions after a quantum quench
• Entanglement negativity after a global quantum quench
• Entanglement evolution and generalised hydrodynamics: noninteracting systems
• Spreading of correlations in Markovian open quantum systems
• Quench action and Renyi entropies in integrable systems
• Entanglement evolution and generalised hydrodynamics: interacting integrable systems
• Coherent and dissipative dynamics at quantum phase transitions
• Entanglement view of dynamical quantum phase transitions
• Quantum information dynamics in multipartite integrable systems
• A Random Unitary Circuit Model for Black Hole Evaporation
• Entanglement Content of Quasi-Particle Excitations
• Entanglement growth in diffusive systems
• Solutions for dissipative quadratic open systems: part I - bosons
• Solutions for dissipative quadratic open systems: part II - fermions
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Growth of mutual information in a quenched one-dimensional open quantum many body system
• Entanglement distribution in the Quantum Symmetric Simple Exclusion Process
• Entanglement and diagonal entropies after a quench with no pair structure
• Light-cone and diffusive propagation of correlations in a many-body dissipative system
• Hydrodynamics of quantum entropies in Ising chains with linear dissipation
• Evolution of entanglement spectra under generic quantum dynamics
• Time-dependent Correlation Functions in Open Quadratic Fermionic Systems
• Coherence, entanglement and quantumness in closed and open systems with conserved charge, with an application to many-body localisation
• Entanglement spreading and quasiparticle picture beyond the pair structure
• Entanglement statistics in Markovian open quantum systems: a matter of mutation and selection
• Quantum and classical temporal correlations in $(1+1)D$ Quantum Cellular Automata

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• Fate of entanglement in quadratic Markovian dissipative systems
• Rényi negativities in non-equilibrium open free-boson chains