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.
Author: | Markus Glück, Andrey R. Kolovsky, Hans Jürgen Korsch |
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URN: | urn:nbn:de:hbz:386-kluedo-11988 |
Document Type: | Preprint |
Language of publication: | English |
Year of Completion: | 2001 |
Year of first Publication: | 2001 |
Publishing Institution: | Technische Universität Kaiserslautern |
Date of the Publication (Server): | 2001/06/08 |
Tag: | Quantum mechanics; Wannier-Stark systems; lifetime statistics; lifetimes; optical lattices; resonances; semiconductor superlattice |
Faculties / Organisational entities: | Kaiserslautern - Fachbereich Physik |
DDC-Cassification: | 5 Naturwissenschaften und Mathematik / 530 Physik |
Licence (German): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |