Localization persisting under aperiodic driving
arXiv:2111.13558 · doi:10.1103/PhysRevB.105.L220202
Abstract
Localization may survive in periodically driven (Floquet) quantum systems, but is generally unstable for aperiodic drives. In this work, we identify a hidden conservation law originating from a chiral symmetry in a disordered spin-1/2 XX chain. This protects indefinitely long-lived localization for general--even aperiodic--drives. Therefore, rather counter-intuitively, adding further potential disorder which spoils the conservation law delocalizes the system, via a controllable parametrically long-lived prethermal regime. This provides a first example of persistent single-particle `localization without eigenstates'.
Close to the published version
References in corpus (9)
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Recent progress in many-body localization
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- The fine structure of heating in a quasiperiodically driven critical quantum system
- Many-Body Localization with Quasiperiodic Driving
- Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
- Anomalous diffusion in particle-hole symmetric many-body localized systems
Cited by in corpus (10)
- Complete Hilbert-Space Ergodicity in Quantum Dynamics of Generalized Fibonacci Drives
- Dynamical localization and slow dynamics in quasiperiodically-driven quantum systems
- Localization of matter waves in lattice systems with moving disorder
- Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
- Prethermalization in the PXP Model under Continuous Quasiperiodic Driving
- Anderson localization without eigenstates in photonic quantum walks
- Stable time rondeau crystals in dissipative many-body systems
- Su-Schrieffer-Heeger model driven by sequences of two unitaries: periodic, quasiperiodic, aperiodic, and random protocols
- Photonic Simulation of Localization Phenomena Using Boson Sampling
- Topological energy pumping in a quasi-periodically driven four-level system