Floquet system, Bloch oscillation, and Stark ladder

2007/11/09 by Tao Ma, Ma, Tao, Shu-Min Li +1 · 1 citation
Physics and Astronomy · #Advanced Fiber Laser Technologies #Cold Atom Physics and Bose-Einstein Condensates #Quantum optics and atomic interactions #cond-mat.other

paper · pdf · doi:10.48550/arxiv.0711.1458

7 pages, no figures

arxiv created 2007/11/25 · arxiv updated 2009/12/01

Abstract

We prove the multi-band Bloch oscillation and Stark ladder in the nk and site representation from the Floquet theorem. The proof is also possible from the equivalence between the Floquet system, Bloch oscillation, and the rotator with spin. We also exactly solve the periodically driven two level atom and two band Bloch oscillation in terms of Heun function.

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• Floquet time-convolutionless master equation for non-Markovian driven quantum systems

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