Investigation of Dephasing In an Open Quantum System under Chaotic Influence via a Fractional Kohn-Sham Scheme

TL;DR

This paper explores dephasing in open quantum systems influenced by chaos using a novel fractional Kohn-Sham scheme within TDDFT, revealing differences from conventional models through extensive analysis.

Contribution

It introduces a space-fractional Kohn-Sham scheme to model quantum dephasing, extending the traditional approach with fractional calculus techniques.

Findings

Fractional Kohn-Sham scheme captures dephasing effects more accurately.

Comparative analysis shows differences between fractional and conventional models.

The method provides new insights into quantum chaos and dissipation dynamics.

Abstract

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.