dorsal/arxiv
View SchemaWannier-Stark resonances in optical and semiconductor superlattices
| Authors | M. Glueck, A. R. Kolovsky, H. J. Korsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111132 |
| URL | https://arxiv.org/abs/quant-ph/0111132 |
| DOI | 10.1016/S0370-1573(02)00142-4 |
| Journal | Phys. Rep. 366 (2002) 103 |
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.
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"abstract": "In this work, we discuss the resonance states of a quantum particle in a\nperiodic potential plus a static force. Originally this problem was formulated\nfor a crystal electron subject to a static electric field and it is nowadays\nknown as the Wannier-Stark problem. We describe a novel approach to the\nWannier-Stark problem developed in recent years. This approach allows to\ncompute the complex energy spectrum of a Wannier-Stark system as the poles of a\nrigorously constructed scattering matrix and solves the Wannier-Stark problem\nwithout any approximation. The suggested method is very efficient from the\nnumerical point of view and has proven to be a powerful analytic tool for\nWannier-Stark resonances appearing in different physical systems such as\noptical lattices or semiconductor superlattices.",
"arxiv_id": "quant-ph/0111132",
"authors": [
"M. Glueck",
"A. R. Kolovsky",
"H. J. Korsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0370-1573(02)00142-4",
"journal_ref": "Phys. Rep. 366 (2002) 103",
"title": "Wannier-Stark resonances in optical and semiconductor superlattices",
"url": "https://arxiv.org/abs/quant-ph/0111132"
},
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