Analytical Solution of Weak-Coupling Periodically Driven Two-Level System

Chen, Ai-Xi, Huang +3 more

Yang, Xiao-Xue, Wu +1 more

Qingping Zhou, Mao-Fa Fang

We present an approximate analytical solution to periodically driven two-level system in the weak-coupling regime. The analytical solution is in good agreement with the exact numerical solution in resonance and near resonance cases when Ω ≤ 0.3 ω a with Ω and ω a denoting the Rabi and transition frequencies respectively.

Xiaoxue Yang, Ying Wu

We present a weak-coupling theory of semiclassical periodically driven two-level systems. The explicit analytical approximating solution is shown to reproduce highly accurately the exact results well beyond the regime of the rotating-wave approximation.

J. C. A. Barata, D.A. Cortez

Ai-Xi Chen, Huang Ke-Lin, Zhiping Wang

We generalize the Wu-Yang strong-coupling theory to solve analytically periodically driven two-level systems in the weak-coupling and low-frequency regimes for single- and multi-period periodic driving of continuous-wave-type and pulse-type including ultrashort pulses of a few cycles. We also derive a general formula of the AC Stark shift suitable for such diverse situations.