Effects of local periodic driving on transport and generation of bound states

Abstract

We periodically kick a local region in a one-dimensional lattice and demonstrate, by studying wave packet dynamics, that the strength and the time period of the kicking can be used as tuning parameters to control the transmission probability across the region. Interestingly, we can tune the transmission to zero which is otherwise impossible to do in a time-independent system. We adapt the non-equilibrium Green's function method to take into account the effects of periodic driving; the results obtained by this method agree with those found by wave packet dynamics if the time period is small. We discover that Floquet bound states can exist in certain ranges of parameters; when the driving frequency is decreased, these states get delocalized and turn into resonances by mixing with the Floquet bulk states. We extend these results to incorporate the effects of local interactions at the driven site, and we find some interesting features in the transmission and the bound states.

14 pages, 12 figures; added several references and corrected some typos

References in corpus (23)

• Topological characterization of periodically-driven quantum systems
• Equilibrium states of generic quantum systems subject to periodic driving
• Many-body localization in periodically driven systems
• Irradiated graphene as a tunable Floquet topological insulator
• Periodically driven ergodic and many-body localized quantum systems
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Modulated Floquet Topological Insulators
• Radiation effects on the electronic structure of bilayer graphene
• Scattering Theory for Floquet-Bloch States
• Ultracold Lattice Gases with Periodically Modulated Interactions
• Floquet Edge States with Ultracold Atoms
• Unpaired Floquet Majorana fermions without magnetic fields
• Effects of interactions on periodically driven dynamically localized systems
• Defect generation in a spin-1/2 transverse XY chain under repeated quenching of the transverse field
• Exploring Unconventional Hubbard Models with Doubly Modulated Lattice Gases
• Effects of interference in the dynamics of spin-1/2 transverse XY Chain driven periodically through quantum critical points
• Microwave-controlled coupling of Majorana bound states
• The fate of dynamical many-body localization in the presence of disorder
• Nonadiabatic charge pumping in a one-dimensional system of noninteracting electrons by an oscillating potential
• Dynamics of Localization Phenomena for Hardcore Bosons in Optical Lattices
• Scattering of electrons from an interacting region
• Topological phases in adiabatic and nonadiabatic driven systems
• Periodically-driven Kondo impurity in nonequilibrium steady states

Cited by in corpus (12)

• Perfect spin filter by periodic drive of a ferromagnetic quantum barrier
• Nonequilibrium phase transition in transport through a driven quantum point contact
• Floquet-engineered pair and single particle filter in the Fermi Hubbard model
• Interaction-induced multiparticle bound states in the continuum
• Emergent strong zero mode through local Floquet engineering
• Momentum resolved Floquet-engineered pair and single particle filter in the Fermi Hubbard model
• Dissipation engineered directional filter for quantum ratchets
• Floquet-surface bound states in the continuum in a resonantly driven 1D tilted defect-free lattice
• Decay rates and energies of free magnons and bound states in dissipative XXZ chains
• Floquet Control of Indirect Exchange Interaction in Periodically Driven Two-Dimensional Electron Systems
• Real space thermalization of locally driven quantum magnets
• Effective dynamics and quantum state engineering by periodic kicks