Response of a quantum disordered spin system to a local periodic drive
arXiv:1910.01628 · doi:10.1103/PhysRevB.101.024204
Abstract
We consider a one-dimensional spin chain system with quenched disorder and in the presence of a local periodic drive. We study the time evolution of the system in the Floquet basis and evaluate the fidelity susceptibility, which is a measure of how a given state changes under a small perturbation, of states to a weak periodic drive. We demonstrate that the statistical properties of the fidelity susceptibility over different disorder realizations can be used to identify two phases of the system: (1) the many-body localized phase, in which the susceptibility exhibits long tails while its average value decreases rapidly as disorder increases; and (2) the ergodic phase, in which the susceptibility distribution is narrow and its average value weakly depends on disorder. This distinction in the average value of the susceptibility between the two phases develops readily for systems with ten or more spins. Therefore, recently built networks of qubits subject to a local drive can simulate dynamics of a system in the many-body localization regime. We also show that the spin accumulation speed is correlated with the fidelity susceptibility and can also be used to distinguish the two phases.
arXiv comment11 pages, 7 figures. It will be published in Phys. Rev. B soon
References in corpus (59)
- Probing many-body dynamics on a 51-atom quantum simulator
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- 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
- Average Entropy of a Subsystem
- The many-body localization phase transition
- Observation of a Discrete Time Crystal
- Many-body localization edge in the random-field Heisenberg chain
- Unbounded growth of entanglement in models of many-body localization
- The distribution of the ratio of consecutive level spacings in random matrix ensembles
- Observation of discrete time-crystalline order in a disordered dipolar many-body system
- Floquet Time Crystals
- Phenomenology of fully many-body-localized systems
- A phenomenology of certain many-body-localized systems
- Local conservation laws and the structure of the many-body localized states
- Many-body localization in a quantum simulator with programmable random disorder
- On the phase structure of driven quantum systems
- Many-body localization: an introduction and selected topics
- Universal slow growth of entanglement in interacting strongly disordered systems
- Fidelity approach to quantum phase transitions
- Discrete time crystals: rigidity, criticality, and realizations
- Equilibrium states of generic quantum systems subject to periodic driving
- Many-body localization in periodically driven systems
- Integrals of motion in the Many-Body localized phase
- A blueprint for demonstrating quantum supremacy with superconducting qubits
- Fate of many-body localization under periodic driving
- Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
- Recent progress in many-body localization
- Periodically driven ergodic and many-body localized quantum systems
- Fidelity of quantum operations
- Periodically Driving a Many-Body Localized Quantum System
- Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
- Constructing local integrals of motion in the many-body localized phase
- A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
- Pre-thermal phases of matter protected by time-translation symmetry
- Ergodicity breaking in a model showing many-body localization
- Many-body energy localization transition in periodically driven systems
- Classification of Interacting Topological Floquet Phases in One Dimension
- Classification of topological phases in periodically driven interacting systems
- Phase Structure of 1d Interacting Floquet Systems I: Abelian SPTs
- A theory of many-body localization in periodically driven systems
- Dynamics in many-body localized quantum systems without disorder
- Many-body localization transition in a lattice model of interacting fermions: statistics of renormalized hoppings in configuration space
- Dynamics of Many-Body Localization
- Abelian Floquet symmetry-protected topological phases in one dimension
- Operator entanglement entropy of the time evolution operator in chaotic systems
- Entanglement spreading in a many-body localized system
- Quantum revivals and many-body localization
- A Floquet Model for the Many-Body Localization Transition
- Power-Law Entanglement Spectrum in Many-Body Localized Phases
- Dynamical Quantum Hall Effect in the Parameter Space
- Time crystals in periodically driven systems
- Gauging classical and quantum integrability through out-of-time ordered correlators
- Quantum variance: a measure of quantum coherence and quantum correlations for many-body systems
- How periodic driving heats a disordered quantum spin chain
- Ground-state properties of the one-dimensional transverse Ising model in a longitudinal magnetic field
- Many-Body-Localization Transition : sensitivity to twisted boundary conditions
- Response to a local quench of a system near many body localization transition
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