Wannier-Stark Resonances in optical and semiconductor superlattices

  • In this work, we discuss the resonance states of a quantum particle in a periodic potential plus static force. Originally this problem was formulated for a crystalline electron subject to the static electric field and is known nowadays 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, in this sense, 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 like optical or semiconductor superlattices.

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Metadaten
Author:Markus Glück, Andrey R. Kolovsky, Hans Jürgen Korsch
URN (permanent link):urn:nbn:de:hbz:386-kluedo-11988
Document Type:Preprint
Language of publication:English
Year of Completion:2001
Year of Publication:2001
Publishing Institute:Technische Universität Kaiserslautern
Tag:Quantum mechanics ; Wannier-Stark systems ; lifetime statistics ; lifetimes ; optical lattices ; resonances ; semiconductor superlattice
Faculties / Organisational entities:Fachbereich Physik
DDC-Cassification:530 Physik

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