Avalanche stability transition in interacting quasiperiodic systems
arXiv:2207.05051 · doi:10.1103/PhysRevB.107.014203
Abstract
Coupling a 1D quasiperiodic interacting system to a Markovian bath, we study the avalanche instability of the many body localized phase numerically, finding that many body localization (MBL) is more stable in pseudorandom quasiperiodic systems than the corresponding randomly disordered systems for a disorder strength , potentially up to arbitrarily large system sizes. We support our conclusion by additionally developing real space RG arguments, and provide a detailed comparison between quasiperiodic and random MBL from the avalanche instability perspective, concluding that the two belong to different universality classes.
arXiv comment10 pages, 13 figures
References in corpus (22)
- Chaos and Quantum Thermalization
- Many body localization and thermalization in quantum statistical mechanics
- Many-body localization, thermalization, and entanglement
- Observation of many-body localization of interacting fermions in a quasi-random optical lattice
- The many-body localization phase transition
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- On Many-Body Localization for Quantum Spin Chains
- Probing entanglement in a many-body-localized system
- Exploring the Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice
- Diagonalization and Many-Body Localization for a Disordered Quantum Spin Chain
- Avalanches and many-body resonances in many-body localized systems
- Observation of many-body localization in a one-dimensional system with single-particle mobility edge
- Quantum critical behavior at the many-body-localization transition
- Many-body delocalization as a quantum avalanche
- Challenges to observation of many-body localization
- Analytically solvable renormalization group for the many-body localization transition
- Markovian baths and quantum avalanches
- Engineering a flux-dependent mobility edge in disordered zigzag chains
- Many-body localization phase transition: A simplified strong-randomness approximate renormalization group
- Renormalization-group study of the many-body localization transition in one dimension
- Many-body localization near the critical point
- Universality and Quantum Criticality in Quasiperiodic Spin Chains
Cited by in corpus (15)
- Many-body resonances in the avalanche instability of many-body localization
- Dissipative prethermal discrete time crystal
- Catching thermal avalanches in the disordered XXZ model
- Localization spectrum of a bath-coupled generalized Aubry-André model in the presence of interactions
- Ergodic inclusions in many body localized systems
- Thermalization propagation front and robustness against avalanches in localized systems
- Interacting quasiperiodic spin chains in the prethermal regime
- Topological Phases of Many-Body Localized Systems: Beyond Eigenstate Order
- Thermal avalanches in isolated many-body localized systems
- Long-range resonances in quasiperiodic many-body localization
- Unsupervised machine learning for detecting mutual independence among eigenstate regimes in interacting quasiperiodic chains
- Realizable time crystal of four silicon quantum dot qubits
- Many-body localization in a slowly varying potential
- Numerical Study of Disordered Noninteracting Chains Coupled to a Local Lindblad Bath
- Information Bounds on phase transitions in disordered systems