Exceptional points of the Lindblad operator of a two-level system

The Lindblad equation for a two-level system under an electric field is analyzed by mapping to a linear equation with a non-Hermitian matrix. Exceptional points of the matrix are found to be extensive; the second-order ones are located on lines in a two-dimensional parameter space, while the third-o...

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Bibliographic Details
Published in:Molecular physics 2019-08, Vol.117 (15-16), p.2121-2127
Main Author: Hatano, Naomichi
Format: Article
Language:English
Subjects:
Electric fields
exceptional point
Lindblad operator
Linear equations
Mapping
Mathematical analysis
Matrix methods
Non-Hermitian quantum mechanics
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Summary:The Lindblad equation for a two-level system under an electric field is analyzed by mapping to a linear equation with a non-Hermitian matrix. Exceptional points of the matrix are found to be extensive; the second-order ones are located on lines in a two-dimensional parameter space, while the third-order one is at a point.
ISSN:0026-8976
1362-3028
DOI:10.1080/00268976.2019.1593535