Propagation of Many-body Localization in an Anderson Insulator
arXiv:2109.07332 · doi:10.1103/PhysRevB.105.L220203
Abstract
Many-body localization (MBL) is an example of a dynamical phase of matter that avoids thermalization. While the MBL phase is robust to weak local perturbations, the fate of an MBL system coupled to a thermalizing quantum system that represents a "heat bath" is an open question that is actively investigated theoretically and experimentally. In this work we consider the stability of an Anderson insulator with a finite density of particles interacting with a single mobile impurity -- a small quantum bath. We give perturbative arguments that support the stability of localization in the strong interaction regime. Large scale tensor network simulations of dynamics are employed to corroborate the presence of the localized phase and give quantitative predictions in the thermodynamic limit. We develop a phenomenological description of the dynamics in the strong interaction regime, and demonstrate that the impurity effectively turns the Anderson insulator into an MBL phase, giving rise to non-trivial entanglement dynamics well captured by our phenomenology.
Added references
References in corpus (14)
- Many body localization and thermalization in quantum statistical mechanics
- Many-body localization edge in the random-field Heisenberg chain
- Phenomenology of fully many-body-localized systems
- Matrix product states represent ground states faithfully
- Signatures of Many-Body Localization in a Controlled Open Quantum System
- How a small quantum bath can thermalize long localized chains
- Renormalization-group study of the many-body localization transition in one dimension
- Localized systems coupled to small baths: from A to Z
- Are many-body localized systems stable in the presence of a small bath?
- Entanglement dynamics of a many-body localized system coupled to a bath
- Logarithmic, noise-induced dynamics in the Anderson insulator
- Stability of mobility edges in disordered interacting systems
- Localization of a mobile impurity interacting with an Anderson insulator
- In search of a many-body mobility edge with matrix product states in a Generalized Aubry-André model with interactions
Cited by in corpus (10)
- Many-Body Localization in the Age of Classical Computing
- Slow dynamics of a mobile impurity interacting with an Anderson insulator
- Localization of a mobile impurity interacting with an Anderson insulator
- Resilient infinite randomness criticality for a disordered chain of interacting Majorana fermions
- Fermionic Magic Resources of Quantum Many-Body Systems
- Many-body localization proximity effect in two-species bosonic Hubbard model
- Finite steady-state current defies non-Hermitian many-body localization
- Nonergodic dynamics for an impurity interacting with bosons in tilted lattice
- Unconventional Thermalization of a Localized Chain Interacting with an Ergodic Bath
- Emergent Thermalization Thresholds in Unitary Dynamics of Inhomogeneously Disordered Quantum Systems