Dynamics of many-body localization in the presence of particle loss

Abstract

At long times residual couplings to the environment become relevant even in the most isolated experiments, creating a crucial difficulty for the study of fundamental aspects of many-body dynamics. A particular example is many-body localization in a cold-atom setting, where incoherent photon scattering introduces both dephasing and particle loss. Whereas dephasing has been studied in detail and is known to destroy localization already on the level of non-interacting particles, the effect of particle loss is less well understood. A difficulty arises due to the `non-local' nature of the loss process, complicating standard numerical tools using matrix product decomposition. Utilizing symmetries of the Lindbladian dynamics, we investigate the particle loss on both the dynamics of observables, as well as the structure of the density matrix and the individual states. We find that particle loss in the presence of interactions leads to dissipation and a strong suppression of the (operator space) entanglement entropy. Our approach allows for the study of the interplay of dephasing and loss for pure and mixed initial states to long times, which is important for future experiments using controlled coupling of the environment.

arXiv comment10 pages, 5 figures

References in corpus (29)

• The density-matrix renormalization group in the age of matrix product states
• Many body localization and thermalization in quantum statistical mechanics
• Efficient classical simulation of slightly entangled quantum computations
• Efficient simulation of one-dimensional quantum many-body 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
• Many-body localization edge in the random-field Heisenberg chain
• Many-body localization in a quantum simulator with programmable random disorder
• Quantum trajectories and open many-body quantum systems
• Mixed-state dynamics in one-dimensional quantum lattice systems: a time-dependent superoperator renormalization algorithm
• Universal dynamics and renormalization in many body localized systems
• Coupling Identical 1D Many-Body Localized Systems
• Extended Bose-Hubbard Models with Ultracold Magnetic Atoms
• Signatures of Many-Body Localization in a Controlled Open Quantum System
• A criterion for many-body localization-delocalization phase transition
• Operator space entanglement entropy in transverse Ising chain
• Non-equilibrium dynamics of bosonic atoms in optical lattices: Decoherence of many-body states due to spontaneous emission
• Spectral features of a many-body localized system weakly coupled to a heat bath
• Robustness of many-body localization in the presence of dissipation
• Dynamics of a Many-Body-Localized System Coupled to a Bath
• Influence of dephasing on many-body localization
• Universal simulation of Markovian open quantum systems
• General theory of many body localized systems coupled to baths
• Long-lived non-thermal states realized by atom losses in one-dimensional quasi-condensates
• Light scattering and dissipative dynamics of many fermionic atoms in an optical lattice
• Degenerate Bose gases with uniform loss
• Particle number conservation in quantum many-body simulations with matrix product operators
• Particle statistics and lossy dynamics of ultracold atoms in optical lattices

Cited by in corpus (24)

• Non-Hermitian Many-Body Localization
• Time dynamics with matrix product states: Many-body localization transition of large systems revisited
• Engineering tunable local loss in a synthetic lattice of momentum states
• Dynamics and Transport at the Threshold of Many-Body Localization
• Controlling Quantum Transport via Dissipation Engineering
• Localization properties in disordered quantum many-body dynamics under continuous measurement
• Localization in spin chains with facilitation constraints and disordered interactions
• Many-body open quantum systems beyond Lindblad master equations
• Current reversals and metastable states in the infinite Bose-Hubbard chain with local particle loss
• Detection and characterization of Many-Body Localization in Central Spin Models
• Comparing bipartite entropy growth in open-system matrix-product simulation methods
• Reservoir engineering of Cooper-pair-assisted transport with cold atoms
• Atomic Quantum Technologies for Quantum Matter and Fundamental Physics Applications
• Disorder and interactions in systems out of equilibrium: The exact independent-particle picture from density functional theory
• Interplay of interaction and disorder in the steady state of an open quantum system
• Quantum jumps in driven-dissipative disordered many-body systems
• Harnessing symmetry-protected topological order for quantum memories
• Efficient separation of quantum from classical correlations for mixed states with a fixed charge
• Localization crossover and subdiffusive transport in a classical facilitated network model of a disordered, interacting quantum spin chain
• Non-equilibrium steady states and critical slowing down in the dissipative Bose-Hubbard model
• Non-unitarity maximizing unraveling of open quantum dynamics
• Opening Krylov space to access all-time dynamics via dynamical symmetries
• Protecting coherence from the environment via Stark many-body localization in a Quantum-Dot Simulator
• Classical simulation of noisy quantum circuits via locally entanglement-optimal unravelings