Signatures of many-body localization and metastability by weak perturbation
arXiv:1906.12020 · doi:10.1103/PhysRevB.102.094201
Abstract
Nonequilibrium dynamics in isolated quantum many-body systems displays a number of intriguing features, such as many-body localization (MBL) and prethermalization. Here we investigate a simple ladder system with disorder, in which various distinct dynamical features coexist and interplay. By exact diagonalization, we demonstrate that the system exhibits the signatures of an MBL-ergodic-MBL reentrant transition, metastability, and disorder-free MBL. We give an account of these properties by introducing a quasi-particle picture and interpreting the quasi-vacuum energy fluctuation as an effective disorder on the quasi-particle dynamics. It is speculated that the weak perturbation behavior is a finite-size effect, but its relaxation time scale increases with the system size.
References in corpus (35)
- Many body localization and thermalization in quantum statistical mechanics
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- Localization of interacting fermions at high temperature
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- The many-body localization phase transition
- Unbounded growth of entanglement in models of many-body localization
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Quantum many-body scars
- Exploring the many-body localization transition in two dimensions
- Many body localization in Heisenberg XXZ magnet in a random field
- On Many-Body Localization for Quantum Spin Chains
- Many-body localization in a disordered quantum Ising chain
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Localization protected quantum order
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Stability and instability towards delocalization in MBL systems
- Coupling Identical 1D Many-Body Localized Systems
- Many-body localization in one dimension as a dynamical renormalization group fixed point
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
- Prethermalization and thermalization in models with weak integrability breaking
- Disorder-Free Localization
- Pre-thermalization in a non-integrable quantum spin chain after a quench
- Quench Dynamics in a Model with Tuneable Integrability Breaking
- Quasi Many-body Localization in Translation Invariant Systems
- Localization in fractonic random circuits
- Quantum Slow Relaxation and Metastability due to Dynamical Constraints
- Density propagator for many-body localization: finite size effects, transient subdiffusion, and exponential decay
- Absence of Ergodicity without Quenched Disorder: from Quantum Disentangled Liquids to Many-Body Localization
- Purification and many-body localization in cold atomic gases
- Many-body localization in disorder-free systems: the importance of finite-size constraints
- Entanglement dynamics in critical random quantum Ising chain with perturbations