Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

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

Qingping Zhou, Mao-Fa Fang

Published Apr 1, 2008• 1 citation
Publisher

Abstract

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.
DOI
10.1088/0253-6102/49/4/45

Related papers

Weak-Coupling Theory for Semiclassical Periodically Driven Two-Level Systems: Beyond Rotating-Wave Approximation

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.

Communications in Theoretical Physics•Aug 1, 2007•3 citations

Strong-Coupling Theory of Periodically Driven Two-Level Systems

Ying Wu, Xiaoxue Yang

We present a simple but highly efficient iterating approach for strong-coupling periodically driven two-level systems. The obtained explicit approximating analytical solution reproduces accurately the exact numerical solution in the strong-coupling regime for a wide frequency range including resonance, far-off resonance, harmonic, and subharmonic cases. Our theory is suitable for single- and multi-period periodic driving and for the periodic driving with a few-cycle pulse as well, and it gives a general formula for calculating the strong-field ac Stark effect in such diverse situations.

Physical Review Letters•Jan 5, 2007•212 citations

Weak-Coupling Theory for Low-Frequency Periodically Driven Two-Level Systems

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.

Communications in Theoretical Physics•Aug 1, 2008•0 citations

Analytical solutions for a doubly driven two-level atom

Jinyun Liu, Feng-Dong Jia, Xiao-Kang Li +4 more

We have deduced analytical solutions of an energy level diagram of the doubly driven/dressed atom for a two-level atom exposed to a strong near-resonant bichromatic laser field in a special case, i.e., the bichromatic field with frequencies ω 1 and ω 2 , and Rabi frequencies Ω 1 and Ω 2 , in which the first coupling field of Ω 1 acts on the bare atomic levels, and then the resulting singly dressed states are driven by the second coupling field of Ω 2 , thus resulting in the doubly dressed atom. We have measured the probe absorption spectra of a doubly driven two-level atom. The system consists of 5 2 S 1 / 2 , F = 2 and 5 2 P 3 / 2 , F ′ = 3 states of 87 Rb atoms in a magneto-optical trap (MOT) as well as the cooling/trapping beams and an additional coupling field. As for the spectroscopic properties of the doubly driven two-level atom, theoretical analytical solutions are in general agreement with the experimental spectrum as a whole.

Chinese Physics B•Jun 1, 2017•0 citations

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

Zhou, Qingping, Fang Zhou +1 more

理论物理通讯：英文版•Jan 1, 2008•0 citations

Efficient approach to seek exact analytical solutions of periodically driven two-level systems

Xiaoxue Yang, Ying Wu

By developing an efficient approach, we are able to obtain a large number of exact analytical solutions for various periodically driven two-level systems. The approach should be able to be generalized to certain situations of periodically driven multi-level systems as well.

Journal of Physics B Atomic Molecular and Optical Physics•Apr 24, 2006•16 citations
We present a simple but highly efficient iterating approach for strong-coupling periodically driven two-level systems. The obtained explicit approximating analytical solution reproduces accurately the exact numerical solution in the strong-coupling regime for a wide frequency range including resonance, far-off resonance, harmonic, and subharmonic cases. Our theory is suitable for single- and multi-period periodic driving and for the periodic driving with a few-cycle pulse as well, and it gives a general formula for calculating the strong-field ac Stark effect in such diverse situations.
We have deduced analytical solutions of an energy level diagram of the doubly driven/dressed atom for a two-level atom exposed to a strong near-resonant bichromatic laser field in a special case, i.e., the bichromatic field with frequencies ω 1 and ω 2 , and Rabi frequencies Ω 1 and Ω 2 , in which the first coupling field of Ω 1 acts on the bare atomic levels, and then the resulting singly dressed states are driven by the second coupling field of Ω 2 , thus resulting in the doubly dressed atom. We have measured the probe absorption spectra of a doubly driven two-level atom. The system consists of 5 2 S 1 / 2 , F = 2 and 5 2 P 3 / 2 , F ′ = 3 states of 87 Rb atoms in a magneto-optical trap (MOT) as well as the cooling/trapping beams and an additional coupling field. As for the spectroscopic properties of the doubly driven two-level atom, theoretical analytical solutions are in general agreement with the experimental spectrum as a whole.