Abstract

The coherent interband dynamics of optically excited two-dimensional lateral surface superlattices (quantum-dot arrays), driven by an in-plane static electric field, has been investigated. Linear absorption and a spectrally resolved four-wave mixing signals are obtained. When the rational condition ${E}_{x}{/E}_{y}=p/q,$ with p and q prime to each other, is fulfilled, it is found that p peaks appear within the frequency interval ${\ensuremath{\omega}}_{\mathrm{Bx}}{=eE}_{x}a/\ensuremath{\Elzxh}$ in both linear absorption and degenerate four-wave mixing signals with different time delays. These findings are consistent with the recent spectral results [Phys. Rev. Lett. 86, 3116 $(2001)]$, hence providing a method for probing the coherent dynamics of quantum particles in two-dimensional lattices.

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