Please use this identifier to cite or link to this item: http://hdl.handle.net/10321/2219
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.
Abstract: 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.
URI: http://hdl.handle.net/10321/2219
ISSN: 1742-5468
Appears in Collections:Research Publications (Systems Science)

Show full item record

Page view(s)

168
checked on Sep 19, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.