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Wannier-Stark states of a quantum particle in 2D lattices

M. Glueck·F. Keck·A. R. Kolovsky·H. J. Korsch
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Abstract

A simple method of calculating the Wannier-Stark resonances in 2D lattices is suggested. Using this method we calculate the complex Wannier-Stark spectrum for a non-separable 2D potential realized in optical lattices and analyze its general structure. The dependence of the lifetime of Wannier-Stark states on the direction of the static field (relative to the crystallographic axis of the lattice) is briefly discussed.

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M. Glueck, F. Keck, A. R. Kolovsky, H. J. Korsch. 2001-02-07. Wannier-Stark states of a quantum particle in 2D lattices. https://doi.org/10.1103/physrevlett.86.3116

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