Control of transport in higher dimensional systems via dynamical decoupling of degrees of freedom with quasiperiodic driving fields

Abstract

We consider the problem of the control of transport in higher dimensional periodic structures by applied ac fields. In a generic crystal, transverse degrees of freedom are coupled, and this makes the control of motion difficult to implement. We show, both with simulations and with an analytical functional expansion on the driving amplitudes, that the use of quasiperiodic driving significantly suppresses the coupling between transverse degrees of freedom. This allows a precise control of the transport, and does not require a detailed knowledge of the crystal geometry.

References in corpus (7)

• Artificial Brownian motors: Controlling transport on the nanoscale
• Quasiperiodically driven ratchets for cold atoms
• Vortex motion rectification in Josephson junction arrays with a ratchet potential
• Inertial Brownian motors driven by biharmonic signals
• Vortex and translational currents due to broken time-space symmetries
• Two-dimensional rocking ratchet for cold atoms
• Current reversals in a rocking ratchet: the frequency domain

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• General approach for dealing with dynamical systems with spatiotemporal periodicities
• Dimensional coupling induced current reversal in two-dimensional driven lattices
• Freezing, accelerating and slowing directed currents in real time with superimposed driven lattices
• Universal asymptotic behavior in nonlinear systems driven by a two-frequency forcing
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• Multiple current reversals using superimposed driven lattices
• Detecting the $\pi$-axiverse through parametric resonance