Floquet system, Bloch oscillation, and Stark ladder
classification
❄️ cond-mat.other
keywords
blochoscillationfloquetladderstarksystematomband
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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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Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation
An analytic connection is established between exact solutions of linearly and circularly driven two-level systems by mapping to confluent Heun and Heun equations respectively, then using bilateral series and perturbat...
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