Wannier-Stark states in double-periodic lattices. I. One-dimensional lattices

Abstract

We analyze the Wannier-Stark spectrum of a quantum particle in generic one-dimensional double-periodic lattices. In the limit of a weak static field, the spectrum is shown to be a superposition of two Wannier-Stark ladders originating from two Bloch subbands. As the strength of the field is increased, the spectrum rearranges itself into a single Wannier-Stark ladder. We derive analytical expressions that describe the rearrangement employing the analogy between the Wannier-Stark problem and a driven two-level system in the strong-coupling regime.

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• Physical Review A - View
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