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

Agarwala, Adhip and Sen, Diptiman (2017) Effects of local periodic driving on transport and generation of bound states. In: PHYSICAL REVIEW B, 96 (10).

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Official URL: http://doi.org/10.1103/PhysRevB.96.104309

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 nonequilibrium 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.

Item Type: Journal Article
Publication: PHYSICAL REVIEW B
Additional Information: Copy right for this article belongs to the AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 13 Oct 2017 04:53
Last Modified: 13 Oct 2017 04:53
URI: http://eprints.iisc.ac.in/id/eprint/58013

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