Wannier–Stark resonances in optical and semiconductor superlattices

By M. Glueck, Andrey Kolovsky, H. Korsch. 2001

259 citations recorded by the source corpus.

Abstract In this work, we discuss the resonance states of a quantum particle in a periodic potential plus a static force. Originally, this problem was formulated for a crystal electron subject to a static electric field and it is nowadays known as the Wannier–Stark problem. We describe a novel approach to the Wannier–Stark problem developed in recent years. This approach allows to compute the complex energy spectrum of a Wannier–Stark system as the poles of a rigorously constructed scattering matrix and solves the Wannier–Stark problem without any approximation. The suggested method is very efficient from the numerical point of view and has proven to be a powerful analytic tool for Wannier–Stark resonances appearing in different physical systems such as optical lattices or semiconductor superlattices.

Subfields: Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/d2b66201356a17b2718d5afef9d0eb5fea4c9417

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In Atomic and Molecular Physics, and Optics

1. Vladislav S. Yakovlev
2. F. Krausz
3. Stanislav Yu. Kruchinin

Citations in the corpus

• Colloquium: Strong-field phenomena in periodic systems (2017, background): “In general,Wannier– Stark resonances can be calculated from the complex poles of a rigorously constructed S-matrix (Glück et al., 2002) or via diagonalization of a non-Hermitian Hamiltonian (Moiseyev, 2011).”