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'.
arXiv commentClose to the published version
References in corpus (46)
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Average Entropy of a Subsystem
- Quantum many-body scars
- Floquet Time Crystals
- On the phase structure of driven quantum systems
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Localization from Hilbert space shattering: from theory to physical realizations
- Local constraints can globally shatter Hilbert space: a new route to quantum information protection
- Quantum Many-Body Scars and Hilbert Space Fragmentation: A Review of Exact Results
- Floquet-Magnus Theory and Generic Transient Dynamics in Periodically Driven Many-Body Quantum Systems
- Ergodicity-breaking arising from Hilbert space fragmentation in dipole-conserving Hamiltonians
- Exponentially slow heating in periodically driven many-body systems
- Fate of many-body localization under periodic driving
- Entanglement of Exact Excited States of AKLT Models: Exact Results, Many-Body Scars and the Violation of Strong ETH
- Recent progress in many-body localization
- Systematic Construction of Counterexamples to the Eigenstate Thermalization Hypothesis
- Weak Ergodicity Breaking and Quantum Many-Body Scars in Spin-1 XY Magnets
- The anomalous Floquet-Anderson insulator as a non-adiabatic quantized charge pump
- Periodic thermodynamics of isolated systems
- Eta-Pairing in Hubbard Models: From Spectrum Generating Algebras to Quantum Many-Body Scars
- Topological frequency conversion in strongly driven quantum systems
- Quantum Many-Body Scars in Optical Lattices
- From tunnels to towers: quantum scars from Lie Algebras and q-deformed Lie Algebras
- Logarithmically Slow Relaxation in Quasi-Periodically Driven Random Spin Chains
- Long-lived interacting phases of matter protected by multiple time-translation symmetries in quasiperiodically-driven systems
- Quantum scars of bosons with correlated hopping
- Topological classification of quasi-periodically driven quantum systems
- Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories: Part I
- Particle-hole symmetry, many-body localization, and topological edge modes
- Random multipolar driving: tunably slow heating through spectral engineering
- Aperiodically driven integrable systems and their emergent steady states
- Multifractality without fine-tuning in a Floquet quasiperiodic chain
- Quasi-periodically driven quantum systems
- Exploring 2D synthetic quantum Hall physics with a quasi-periodically driven qubit
- Floquet Time Spirals and Stable Discrete Time Quasi-Crystals in Quasi-Periodically Driven Quantum Many-Body Systems
- Nonadiabatic Topological Energy Pumps with Quasiperiodic Driving
- The fine structure of heating in a quasiperiodically driven critical quantum system
- Quasiperiodic Floquet-Thouless energy pump
- Rigorous Bounds on the Heating Rate in Thue-Morse Quasiperiodically and Randomly Driven Quantum Many-Body Systems
- Many-Body Localization with Quasiperiodic Driving
- Universal nonadiabatic energy pumping in a quasiperiodically driven extended system
- Interacting topological frequency converter
- Generalized Dyson model: nature of zero mode and its implication in dynamics
- 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