Linear Quantum Entropy and Non-Hermitian Hamiltonians
Giaquinta, Paolo V.
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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
Sergi, A. and Giaquinta, P.V. 2016. Linear Quantum Entropy and Non-Hermitian Hamiltonians. Entropy. Vol 18 (451) : 1-11.