Investigation of dephasing in an open quantum system under chaotic influence via a fractional Kohn-Sham scheme

In this work, the dynamics of dephasing (without relaxation) in the presence of a chaotic oscillator is theoretically investigated. The time-dependent density functional theory framework was used in tandem with the Lindblad master equation approach for modeling the dissipative dynamics. Using the Ko...

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Main Author: Ganesan, T.
Format: Article
Institution: Universiti Teknologi Petronas
Record Id / ISBN-0: utp-eprints.31075 /
Published: John Wiley and Sons Inc 2014
Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84912042896&doi=10.1002%2fqua.24735&partnerID=40&md5=ecfbb70df422508e274f752a3085f751
http://eprints.utp.edu.my/31075/
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Summary: In this work, the dynamics of dephasing (without relaxation) in the presence of a chaotic oscillator is theoretically investigated. The time-dependent density functional theory framework was used in tandem with the Lindblad master equation approach for modeling the dissipative dynamics. Using the Kohn-Sham (K-S) scheme under certain approximations, the exact model for the potentials was acquired. In addition, a space-fractional K-S scheme was developed (using the modified Riemann-Liouville operator) for modeling the dephasing phenomenon. Extensive analyses and comparative studies were then done on the results obtained using the space-fractional K-S system and the conventional K-S system. © 2014 Wiley Periodicals, Inc.