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Entropy 2016, 18(12), 451; doi:10.3390/e18120451

Linear Quantum Entropy and Non-Hermitian Hamiltonians

1
Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università degli Studi di Messina, Contrada Papardo, 98166 Messina, Italy
2
Institute of Systems Science, Durban University of Technology, P.O. Box 1334, 4000 Durban, South Africa
*
Author to whom correspondence should be addressed.
Academic Editor: Ignazio Licata
Received: 18 October 2016 / Revised: 4 December 2016 / Accepted: 13 December 2016 / Published: 16 December 2016
(This article belongs to the Special Issue Entropy in Quantum Systems and Quantum Field Theory (QFT))
View Full-Text   |   Download PDF [257 KB, uploaded 16 December 2016]

Abstract

We consider the description of open quantum systems with probability sinks (or sources) in terms of general non-Hermitian Hamiltonians. Within such a framework, we study novel possible definitions of the quantum linear entropy as an indicator of the flow of information during the dynamics. Such linear entropy functionals are necessary in the case of a partially Wigner-transformed non-Hermitian Hamiltonian (which is typically useful within a mixed quantum-classical representation). Both the case of a system represented by a pure non-Hermitian Hamiltonian as well as that of the case of non-Hermitian dynamics in a classical bath are explicitly considered. View Full-Text
Keywords: non-Hermitian quantum mechanics; quantum entropy; quantum-classical theory non-Hermitian quantum mechanics; quantum entropy; quantum-classical theory
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Sergi, A.; Giaquinta, P.V. Linear Quantum Entropy and Non-Hermitian Hamiltonians. Entropy 2016, 18, 451.

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