Quantum transport and localization in biased periodic structures under bi- and polychromatic driving
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Publication:3427266
DOI10.1088/1751-8113/40/10/006zbMATH Open1129.82312arXivquant-ph/0608217OpenAlexW2160005316MaRDI QIDQ3427266
A. Klumpp, Dirk Witthaut, Hans Jürgen Korsch
Publication date: 16 March 2007
Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/quant-ph/0608217
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