Survival of current in a periodically driven hardcore bosonic system
Abstract
We study the survival of the current induced initially by applying a twist at the boundary of a chain of hardcore bosons (HCBs), subject to a periodic double δfunction kicks in the staggered onsite potential. We study the current flow and the workdone on the system at the longtime limit as a function of the driving frequency. Like a recent observation in the HCB chain with single δfunction kick in the staggered onsite potential, here we also observe many dips in the current flow and concurrently many peaks in the workdone 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 δfunctions kicked HCB chain. Our analytical estimations of the saturated current and the saturated workdone, 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 ν, we observe that the saturated current is proportional to ν. Finally, we study the timeevolution of the halffilled HCB chain where the particles are localized in the central part of the chain. We observe that the particles spread linearly in a lightcone 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.
 Publication:

European Physical Journal B
 Pub Date:
 May 2020
 DOI:
 10.1140/epjb/e2020101333
 arXiv:
 arXiv:1910.04757
 Bibcode:
 2020EPJB...93...89S
 Keywords:

 Solid State and Materials;
 Condensed Matter  Statistical Mechanics;
 Quantum Physics
 EPrint:
 11 pages, 9 figures