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Dynamical localization in a chain of hard core bosons under periodic driving

Nag, Tanay and Roy, Sthitadhi and Dutta, Amit and Sen, Diptiman (2014) Dynamical localization in a chain of hard core bosons under periodic driving. In: PHYSICAL REVIEW B, 89 (16).

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Official URL: http://dx.doi.org/10.1103/PhysRevB.89.165425

Abstract

We study the dynamics of a one-dimensional lattice model of hard core bosons which is initially in a superfluid phase with a current being induced by applying a twist at the boundary. Subsequently, the twist is removed, and the system is subjected to periodic delta-function kicks in the staggered on-site potential. We present analytical expressions for the current and work done in the limit of an infinite number of kicks. Using these, we show that the current (work done) exhibits a number of dips (peaks) as a function of the driving frequency and eventually saturates to zero (a finite value) in the limit of large frequency. The vanishing of the current (and the saturation of the work done) can be attributed to a dynamic localization of the hard core bosons occurring as a consequence of the periodic driving. Remarkably, we show that for some specific values of the driving amplitude, the localization occurs for any value of the driving frequency. Moreover, starting from a half-filled lattice of hard core bosons with the particles localized in the central region, we show that the spreading of the particles occurs in a light-cone-like region with a group velocity that vanishes when the system is dynamically localized.

Item Type: Journal Article
Additional Information: Copyright 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 > Centre for High Energy Physics
Depositing User: Id for Latest eprints
Date Deposited: 17 Jul 2014 09:06
Last Modified: 17 Jul 2014 09:06
URI: http://eprints.iisc.ac.in/id/eprint/49452

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