Quantum transport and localization in biased periodic structures under bi- and polychromatic driving

Abstract

We consider the dynamics of a quantum particle in a one-dimensional periodic potential (lattice) under the action of a static and time-periodic field. The analysis is based on a nearest-neighbor tight-binding model which allows a convenient closed form description of the transport properties in terms of generalized Bessel functions. The case of bichromatic driving is analyzed in detail and the intricate transport and localization phenomena depending on the communicability of the two excitation frequencies and the Bloch frequency are discussed. The case of polychromatic driving is also discussed, in particular for flipped static fields, i.e. rectangular pulses, which can support an almost dispersionless transport with a velocity independent of the field amplitude.

18 pages, 11 figure

References in corpus (7)

• Wannier-Stark resonances in optical and semiconductor superlattices
• Bloch-Zener oscillations
• Localization Effects in ac-driven Tight-Binding Lattices
• On two-dimensional Bessel functions
• An algebraic solution of driven single band tight binding dynamics
• Two-dimensional Bloch oscillations: A Lie-algebraic approach
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Cited by in corpus (7)

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• Coherent control of dressed matter waves
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• Expansion of matter waves in static and driven periodic potentials
• Recursive algorithm for arrays of generalized Bessel functions: Numerical access to Dirac-Volkov solutions
• Resonantly Enhanced Tunneling and Transport of Ultracold Atoms on Tilted Optical Lattices
• Dynamical Control in a Quasi-periodically Modulated Optical Lattice