Absence of dynamical localization in interacting driven systems

Abstract

Using a numerically exact method we study the stability of dynamical localization to the addition of interactions in a periodically driven isolated quantum system which conserves only the total number of particles. We find that while even infinitesimally small interactions destroy dynamical localization, for weak interactions density transport is significantly suppressed and is asymptotically diffusive, with a diffusion coefficient proportional to the interaction strength. For systems tuned away from the dynamical localization point, even slightly, transport is dramatically enhanced and within the largest accessible systems sizes a diffusive regime is only pronounced for sufficiently small detunings.

Scipost resubmission. 14 pages, 4 figures. Changes to the figures. Corrects a few typos

References in corpus (12)

• Many body localization and thermalization in quantum statistical mechanics
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Recent progress in many-body localization
• Periodically driven ergodic and many-body localized quantum systems
• Exploring dynamic localization with a Bose-Einstein condensate
• Nearly-linear light cones in long-range interacting quantum systems
• Operator entanglement entropy of the time evolution operator in chaotic systems
• Real-time broadening of non-equilibrium density profiles and the role of the specific initial-state realization
• Effects of interactions on periodically driven dynamically localized systems
• Density dynamics from current auto-correlations at finite time- and length-scales
• Energy spread and current-current correlation in quantum systems

Cited by in corpus (34)

• Quantum and classical Floquet prethermalization
• Analytic approaches to periodically driven closed quantum systems: Methods and Applications
• Dynamical localization and the effects of aperiodicity in Floquet systems
• Thermalization and Prethermalization in Periodically Kicked Quantum Spin Chains
• Statistical Mechanics of Floquet Quantum Matter: Exact and Emergent Conservation Laws
• Transport in Stark Many Body Localized Systems
• Prethermalization and Thermalization in Periodically-Driven Many-Body Systems away from the High-Frequency Limit
• (Quasi)Periodic revivals in periodically driven interacting quantum systems
• Dynamical relaxation of correlators in periodically driven integrable quantum systems
• Prethermal fragmentation in a periodically driven Fermionic chain
• Periodically driven Rydberg chains with staggered detuning
• Out-of-Time-Order correlators in driven conformal field theories
• Suppression of heating by long-range interactions in periodically driven spin chains
• Periodically driven model with quasiperiodic potential and staggered hopping amplitudes: engineering of mobility gaps and multifractal states
• Signatures of multifractality in a periodically driven interacting Aubry-André model
• Hinge mode dynamics of periodically driven higher-order Weyl semimetals
• Emergent conservation in Floquet dynamics of integrable non-Hermitian models
• Dynamical localization and slow thermalization in a class of disorder-free periodically driven one-dimensional interacting systems
• Emergent symmetries in prethermal phases of periodically driven quantum systems
• Dynamics of fluctuation correlation in periodically driven classical system
• Entanglement transitions in a periodically driven non-Hermitian Ising chain
• Wannier-Stark ladders and Stark shifts of excitons in Mott insulators
• Stark-Many body localization in interacting infinite dimensional systems
• Noise-induced dynamical localization and delocalization
• Periodically and aperiodically Thue-Morse driven long-range systems: from dynamical localization to slow dynamics
• Dynamical chaos in the integrable Toda chain induced by time discretization
• Digital Quantum Simulation, Learning of the Floquet Hamiltonian, and Quantum Chaos of the Kicked Top
• Insights from the exact analytical solution of periodically driven transverse field Ising chain
• Fermionic transport through a driven quantum point contact: breakdown of Floquet thermalization beyond a critical driving frequency
• Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice
• Quantum transport under oscillatory drive with disordered amplitude
• Quantum dynamics of a spin model with an extensive degeneracy
• Emergence of prethermal time quasicrystalline order in a quasiperiodically driven non-interacting spin chain
• Trotter transition in BCS pairing dynamics