Survival of current in a periodically driven hard-core bosonic system

Abstract

We study the survival of the current induced initially by applying a twist at the boundary of a chain of hard-core bosons (HCBs), subject to a periodic double $\delta$-function kicks in the staggered on-site potential. We study the current flow and the work-done on the system at the long-time limit as a function of the driving frequency. Like a recent observation in the HCB chain with single $\delta$-function kick in the staggered on-site potential, here we also observe many dips in the current flow and concurrently many peaks in the work-done on the system at some specific values of the driving frequency. However, unlike the single kicked case, here we do not observe a complete disappearance of the current in the limit of a high driving frequency, which shows the absence of any dynamical localization in the double $\delta$-functions kicked HCB chain. Our analytical estimations of the saturated current and the saturated work-done, defined at the limit of a large time together with a high driving frequency, match very well with the exact numerics. In the case of the very small initial current, induced by a very small twist $\nu$, we observe that the saturated current is proportional to $\nu$. Finally, we study the time-evolution of the half-filled HCB chain where the particles are localized in the central part of the chain. We observe that the particles spread linearly in a light-cone like region at the rate determined by the maximum value of the group velocity. Except for a very trivial case, the maximum group velocity never vanishes, and therefore we do not observe any dynamical localization in the system.

arXiv comment11 pages, 9 figures

References in corpus (29)

• Photovoltaic Hall effect in graphene
• Universal High-Frequency Behavior of Periodically Driven Systems: from Dynamical Stabilization to Floquet Engineering
• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Transport properties of non-equilibrium systems under the application of light: Photo-induced quantum Hall insulators without Landau levels
• Floquet Engineering of Quantum Materials
• Floquet Spectrum and Transport Through an Irradiated Graphene Ribbon
• Irradiated graphene as a tunable Floquet topological insulator
• Floquet chiral edge states in graphene
• Theory of pump-probe photoemission in graphene: Ultrafast tuning of Floquet bands and local pseudospin textures
• Merging of Dirac points and Floquet topological transitions in AC driven graphene
• Periodic steady state and interference in a periodically driven quantum system
• Hierarchy of Floquet gaps and edge states for driven honeycomb lattices
• Radiation effects on the electronic structure of bilayer graphene
• Experimental Realization of Quantum-Resonance Ratchets
• Experimental evidence of dynamical localization and delocalization in a quasi-periodic driven system
• Rectified momentum transport for a kicked Bose-Einstein Condensate
• Dynamical localization in a chain of hard core bosons under a periodic driving
• Materials design from non-equilibrium steady states: driven graphene as a tunable semiconductor with topological properties
• Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
• Maximum group velocity in a one-dimensional model with a sinusoidally varying staggered potential
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Supercurrent survival under Rosen-Zener quench of hard core bosons
• Butterfly Floquet Spectrum in Driven SU(2) Systems
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
• Effective time-independent analysis for quantum kicked systems
• Exact results in Floquet coin toss for driven integrable models
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
• The fate of current, residual energy and entanglement entropy in aperiodic driving of one dimensional Jordan Wigner integrable models
• Statistical properties of power-law random banded unitary matrices in the delocalization-localization transition regime