Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
arXiv:2412.03233 · doi:10.21468/SciPostPhysCore.8.4.080
Abstract
Disorder can prevent many-body quantum systems from reaching thermal equilibrium, leading to a many-body localized phase. Recent works suggest that nonperturbative effects caused by rare regions of low disorder may destabilize the localized phase. However, numerical simulations of interacting systems are generically possible only for small system sizes, where finite-size effects might dominate. Here we perform a numerical investigation of noninteracting disordered spin chains coupled to a local Lindblad bath at the boundary. Our results reveal strong finite-size effects in the Lindbladian gap in both bath-coupled Anderson and Aubry-André-Harper models, leading to a non-monotonic behavior with the system size. We discuss the relaxation properties of a simple toy model coupled to local Lindblad baths, connecting its features to those of noninteracting localized chains. We comment on the implications of our findings for many-body systems.
27 pages, 7 figures
References in corpus (101)
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Anderson Transitions
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Many-body localization, thermalization, and entanglement
- Unbounded growth of entanglement in models of many-body localization
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- 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
- Open Quantum Systems. An Introduction
- Many-body localization: an introduction and selected topics
- On Many-Body Localization for Quantum Spin Chains
- Universal slow growth of entanglement in interacting strongly disordered systems
- Integrals of motion in the Many-Body localized phase
- Area laws in a many-body localized state and its implications for topological order
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Many-Body Localization in a Quasiperiodic System
- Nearest neighbor tight binding models with an exact mobility edge in one dimension
- Quantum chaos challenges many-body localization
- Stability and instability towards delocalization in MBL systems
- Realization of a minimal Kitaev chain in coupled quantum dots
- Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
- Avalanches and many-body resonances in many-body localized systems
- Thouless time analysis of Anderson and many-body localization transitions
- Review: Local Integrals of Motion in Many-Body Localized systems
- Parity qubits and poor man's Majorana bound states in double quantum dots
- Distinguishing localization from chaos: challenges in finite-size systems
- Ergodicity Breaking Transition in Finite Disordered Spin Chains
- Relaxation times of dissipative many-body quantum systems
- Evidence for unbounded growth of the number entropy in many-body localized phases
- How a small quantum bath can thermalize long localized chains
- Spectral features of a many-body localized system weakly coupled to a heat bath
- Many body localization and quantum non-ergodicity in a model with a single-particle mobility edge
- Open Quantum Dynamics: Complete Positivity and Entanglement
- Interplay between long range hopping and disorder in topological systems
- Challenges to observation of many-body localization
- Polynomially filtered exact diagonalization approach to many-body localization
- Absence of true localization in many-body localized phases
- Exact solution of Markovian master equations for quadratic fermi systems: thermal baths, open XY spin chains, and non-equilibrium phase transition
- Dynamics in many-body localized quantum systems without disorder
- Markovian baths and quantum avalanches
- Many-Body Localization in the Age of Classical Computing
- Many body localization in the presence of a single particle mobility edge
- Charge and spin transport in strongly correlated one-dimensional quantum systems driven far from equilibrium
- Dissipative spin chain as a non-Hermitian Kitaev ladder
- All-electronic coherent population trapping in quantum dots
- Interaction instability of localization in quasiperiodic systems
- A constructive theory of the numerically accessible many-body localized to thermal crossover
- Signatures of bath-induced quantum avalanches in a many-body--localized system
- Is there slow particle transport in the MBL phase?
- Roadmap towards Majorana qubits and nonabelian physics in quantum dot-based minimal Kitaev chains
- Many-Body Localization: Stability and Instability
- Transport properties across the many-body localization transition in quasiperiodic and random systems
- Negative differential conductivity in far-from-equilibrium quantum spin chains
- The Aubry-André model as the hobbyhorse for understanding localization phenomenon
- Many-body localization in incommensurate models with a mobility edge
- Phenomenology of the Prethermal Many-Body Localized Regime
- Mpemba effects in open nonequilibrium quantum systems
- Avalanche induced co-existing localised and thermal regions in disordered chains
- Delocalization of weakly interacting bosons in a 1D quasiperiodic potential
- Resonance-induced growth of number entropy in strongly disordered systems
- Non-equilibrium quantum chains under multi-site Lindblad baths
- Reentrant localization transition in the Su-Schrieffer-Heeger model with random-dimer disorder
- Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
- Entanglement in a dephasing model and many-body localization
- Unlimited growth of particle fluctuations in many-body localized phases
- Subdiffusion in a 1D Anderson insulator with random dephasing: Finite-size scaling, Griffiths effects, and possible implications for many-body localization
- Phenomenology of anomalous transport in disordered one-dimensional systems
- Topological Anderson insulators induced by random binary disorders
- The internal clock of many-body delocalization
- Lindblad equation approach to the optimal working point in nonequilibrium stationary states of an interacting electronic one-dimensional system: Application to the spinless Hubbard chain in the clean and in the weakly disordered limit
- The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
- Logarithmic, noise-induced dynamics in the Anderson insulator
- Avalanche stability transition in interacting quasiperiodic systems
- Catching thermal avalanches in the disordered XXZ model
- Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
- Particle fluctuations and the failure of simple effective models for many-body localized phases
- Lindblad master equation approach to superconductivity in open quantum systems
- Crossover from adiabatic to antiadiabatic quantum pumping with dissipation
- Many-Body Mobility Edge in Quantum Sun models
- Ultraslow Growth of Number Entropy in an l-bit Model of Many-Body Localization
- Transport and energetic properties of a ring of interacting spins coupled to heat baths
- An exactly solvable dissipative spin liquid
- Destruction of Localization by Thermal Inclusions: Anomalous Transport and Griffiths Effects in the Anderson and André-Aubry-Harper Models
- Localization spectrum of a bath-coupled generalized Aubry-André model in the presence of interactions
- Spatio-temporal heterogeneity of entanglement in many-body localized systems
- A stabilization mechanism for many-body localization in two dimensions
- Ergodic inclusions in many body localized systems
- Kibble-Zurek scaling due to environment temperature quench in the transverse field Ising model
- Many-body localization crossover is sharper in quasiperiodic spin chains
- Modeling the metastable dynamics of correlated structures
- Mixing Time of Open Quantum Systems via Hypocoercivity
- Reducing defect production in random transverse-field Ising chains by inhomogeneous driving fields
- Out of equilibrium charge transport in molecular electronic devices
- Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
- Out-of-equilibrium quantum dynamics of fermionic gases in the presence of localized particle loss
- Ergodicity breaking transition in zero dimensions
- Response to `Comment on Theory of growth of number entropy in disordered systems'
- Comment on "Resonance-induced growth of number entropy in strongly disordered systems"