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

Abstract

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.

arXiv comment12 pages, 4 figures, Accepted for publication in Molecular Physics as a paper for the special issue "QUANTUM DYNAMICS AND RESO- NANCES IN CHEMISTRY AND PHYSICS" dedicated to Prof. Nimrod Moiseyev

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