Perturbative dissipation dynamics of a weakly driven Jaynes-Cummings system

TL;DR

This paper develops a perturbative approach to analyze the dissipation dynamics of a weakly driven Jaynes-Cummings system, revealing new oscillatory behaviors in decoherence not captured by traditional methods.

Contribution

It introduces a generalized microscopic master equation method with perturbative analysis to derive corrected Rabi oscillations and vacuum Rabi splitting analytically.

Findings

Derived analytical expressions for Rabi oscillations and vacuum Rabi splitting.

Discovered oscillations in decoherence frequency dependent on driving strength.

Identified that highly-inverted systems exhibit doubled oscillation frequency under weak driving.

Abstract

We generalize a microscopic master equation method to study the dissipation dynamics of Jaynes-Cummings two-level system with a weak external driving. Using perturbative analysis to extend the damping bases theory, we derive the corrected Rabi oscillation and vaccum Rabi splitting analytically. The evolution of the decoherence factor of the weakly driven system reveals that the off-diagonal density matrix elements are oscillating at a frequency dependent on the driving strength and the initial population inversion. For highly-inverted systems at the weak-driving limit, this frequency reduces to twice the value for the non-driven system, showing the dissipation dynamics unable to be discovered using more conventional approaches.