2016/09/23 by T. Ganesan, Ganesan, T.
Computer Science · Physics and Astronomy · #Chaotic #Computer science #Density functional theory #Dephasing #FOS: Electrical engineering #FOS: Physical sciences #Fractional calculus #Kohn–Sham equations #Master equation #Physics #Quantum #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Quantum decoherence #Quantum mechanics #Relaxation (psychology) #Space (punctuation) #Spectroscopy and Quantum Chemical Studies #Statistical physics #Systems and Control (eess.SY) #Time-dependent density functional theory #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1609.08173
openalex publication_date 2016/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
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 (TDDFT) framework was employed in tandem with the Lindblad master equation approach for modeling the dissipation dynamics. By employing the Kohn-Sham (K-S) scheme under certain approximations, the exact model system for the potentials was acquired. In addition, a space-fractional K-S scheme is 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.