Supersymmetrization of the Franke-Gorini-Kossakowski-Lindblad-Sudarshan equation

We investigate departures from the Hamiltonian dynamics such as the quantum decoherence in superpartner quantum systems due to their interaction with the environment. The effective description is given by the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation. The prescription for supersy...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2019-10, Vol.52 (42), p.425301
Main Authors: Andrianov, A A, Ioffe, M V, Novikov, O O
Format: Article
Language:English
Subjects:
density matrix
Franke-Gorini-Kossakowski-Lindblad-Sudarshan equation
isospectral quantum systems
quantum decoherence
supersymmetrical quantum mechanics
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Summary:We investigate departures from the Hamiltonian dynamics such as the quantum decoherence in superpartner quantum systems due to their interaction with the environment. The effective description is given by the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation. The prescription for supersymmetrization of this equation is elaborated upon and pairs of related isospectral quantum systems are built. We present some instructive examples of such a construction.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ab4338