Linear Quantum Entropy and Non-Hermitian Hamiltonians

Alessandro Sergi; Paolo V. Giaquinta

doi:10.3390/e18120451

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arXiv · 1612.05917

Linear Quantum Entropy and Non-Hermitian Hamiltonians

Alessandro Sergi·Paolo V. Giaquinta

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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.

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Alessandro Sergi, Paolo V. Giaquinta. 2016-12-18. Linear Quantum Entropy and Non-Hermitian Hamiltonians. https://doi.org/10.3390/e18120451

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