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Title: Quantum entropy of systems described by non-Hermitian Hamiltonians
Authors: Sergi, Alessandro 
Zloshchastiev, Konstantin G. 
Issue Date: 2-Mar-2016
Publisher: IOP Science
Source: Sergi, A. and Zloshchastiev, K. 2016. Quantum entropy of systems described by non-Hermitian Hamiltonians. Journal of Statistical Mechanics : Theory and Experiment.
Journal: Journal of statistical mechanics 
We study the quantum entropy of systems that are described by general non-Hermitian Hamiltonians, including those which can model the effects of sinks or sources. We generalize the von Neumann entropy to the non-Hermitian case and find that one needs both the normalized and non-normalized density operators in order to properly describe irreversible processes. It turns out that such a generalization monitors the onset of disorder in quantum dissipative systems. We give arguments for why one can consider the generalized entropy as the informational entropy describing the flow of information between the system and the bath. We illustrate the theory by explicitly studying few simple models, including tunneling systems with two energy levels and non-Hermitian detuning.
ISSN: 1742-5468
DOI: ttp://
Appears in Collections:Research Publications (Systems Science)

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