Investigation of Dephasing In an Open Quantum System under Chaotic Influence via a Fractional Kohn-Sham Scheme
For researchers in open quantum systems and TDDFT, this work introduces a fractional calculus extension to model dephasing, but the results are preliminary and lack quantitative benchmarks.
The authors theoretically investigate dephasing dynamics in an open quantum system coupled to a chaotic oscillator, developing a space-fractional Kohn-Sham scheme within TDDFT and Lindblad master equation. Comparative studies show the fractional approach captures dephasing effects not seen in the conventional K-S 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 (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.