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Investigation of dephasing in an open quantum system under chaotic influence via a fractional K ohn– S ham scheme
Author(s) -
Ganesan Timothy
Publication year - 2014
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.24735
Subject(s) - dephasing , dissipative system , chaotic , relaxation (psychology) , space (punctuation) , operator (biology) , quantum decoherence , quantum , physics , work (physics) , master equation , quantum mechanics , statistical physics , chemistry , computer science , psychology , social psychology , biochemistry , repressor , artificial intelligence , transcription factor , gene , operating system
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.