The two-photon absorption cross section for transitions from the $^{3}$ ${\mathit{H}}_{4}$ ground-state manifold to the second excited state of the 4f5d configuration of ${\mathrm{Pr}}^{3+}$ in ${\mathrm{Y}}_{3}$ ${\mathrm{Al}}_{5}$ ${\mathrm{O}}_{12}$ is observed to be enhanced by about two orders of magnitude when the excitation frequency happens to be resonant with the $^{3}$ ${\mathit{P}}_{\mathit{J}}$ (J=0,1,2) and $^{1}$ ${\mathit{I}}_{6}$ intermediate states of the 4 ${\mathit{f}}^{2}$ configuration. The structure and line shape of the two-photon excitation spectrum spanning the 39 600--46 950 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ transition-energy range are entirely dominated by these resonantly enhanced transitions, while the contributions from nonresonant transitions appear as a slowly varying background beneath the strong resonance peaks. A two-photon absorption cross section as high as 4\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}50}$ ${\mathrm{cm}}^{4}$ s is measured at the peak of the resonantly enhanced transition at 44 246 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$, which involves a level of the $^{3}$ ${\mathit{P}}_{2}$ manifold as the intermediate state. The spectrally integrated cross section over that manifold is 3.3\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}38}$ ${\mathrm{cm}}^{4}$ .The two-photon absorption cross section for transitions from the $^{3}$${\mathit{H}}_{4}$ ground-state manifold to the second excited state of the 4f5d configuration of ${\mathrm{Pr}}^{3+}$ in ${\mathrm{Y}}_{3}$${\mathrm{Al}}_{5}$${\mathrm{O}}_{12}$ is observed to be enhanced by about two orders of magnitude when the excitation frequency happens to be resonant with the $^{3}$${\mathit{P}}_{\mathit{J}}$ (J=0,1,2) and $^{1}$${\mathit{I}}_{6}$ intermediate states of the 4${\mathit{f}}^{2}$ configuration. The structure and line shape of the two-photon excitation spectrum spanning the 39 600--46 950 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ transition-energy range are entirely dominated by these resonantly enhanced transitions, while the contributions from nonresonant transitions appear as a slowly varying background beneath the strong resonance peaks. A two-photon absorption cross section as high as 4\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}50}$ ${\mathrm{cm}}^{4}$ s is measured at the peak of the resonantly enhanced transition at 44 246 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$, which involves a level of the $^{3}$${\mathit{P}}_{2}$ manifold as the intermediate state. The spectrally integrated cross section over that manifold is 3.3\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}38}$ ${\mathrm{cm}}^{4}$.

Physical review. B, Condensed matterMar 1, 19939 citations

Resonance Frequency Shift in Two-Photon Transitions

N. D. Voropaev, А. Н. Ораевский

Optics and SpectroscopyDec 1, 19680 citations

Theoretical Investigation of Coherent Enhancement for Resonant Two-Photon Transitions

Zhang Shi-An, Zugeng Wang, Zhenrong Sun

We theoretically investigate the coherent enhancement of resonant two-photon transitions (TPT) in a three-level atomic system. The TPT can be coherently enhanced by modulating spectral amplitude due to eliminating the destructive interference, though partial laser energy losses. Maximal enhancement of TPT can be achieved by modulating spectral phase due to establishing completely constructive interference. Our research provides a theoretical basis for experimental investigation and appears to have potential application on coherent control in the complicated quantum system.We theoretically investigate the coherent enhancement of resonant two-photon transitions (TPT) in a three-level atomic system. The TPT can be coherently enhanced by modulating spectral amplitude due to eliminating the destructive interference, though partial laser energy losses. Maximal enhancement of TPT can be achieved by modulating spectral phase due to establishing completely constructive interference. Our research provides a theoretical basis for experimental investigation and appears to have potential application on coherent control in the complicated quantum system.

Chinese Physics LettersMay 29, 20081 citation

Enhancement of the transition probabilities for the two-photon transition with shaped chirped-pulse

Minhua Zhang

Based on the second-order perturbation theory,the two-photon processes in the atom system excited by a shaped chirped-pulse are analyzed.The evolution of the two-photon transition probability is studied under the two cases of non-resonance and resonance.It′s shown that the transition probabilities disappeared at some corresponding frequencies under the non-resonance case,and thus the laser pulse can get through the medium without loss. Meanwhile,the maximum two-photon transition probability is obtained by choosing the best shaping function under the resonance case.Based on the second-order perturbation theory,the two-photon processes in the atom system excited by a shaped chirped-pulse are analyzed.The evolution of the two-photon transition probability is studied under the two cases of non-resonance and resonance.It′s shown that the transition probabilities disappeared at some corresponding frequencies under the non-resonance case,and thus the laser pulse can get through the medium without loss. Meanwhile,the maximum two-photon transition probability is obtained by choosing the best shaping function under the resonance case.

Journal of Shaanxi Normal UniversityJan 1, 20100 citations

Two-Photon Transparency and Absorption Enhancement

Suhui Yang, Dong Wang, Xu-Zhen Guo +2 more

European Quantum Electronics Conference (EQEC)Aug 24, 20050 citations

The two-photon absorption cross section for transitions from the

^{3}

{\mathit{H}}_{4}

ground-state manifold to the second excited state of the 4f5d configuration of

{\mathrm{Pr}}^{3+}

{\mathrm{Y}}_{3}

{\mathrm{Al}}_{5}

{\mathrm{O}}_{12}

is observed to be enhanced by about two orders of magnitude when the excitation frequency happens to be resonant with the

^{3}

{\mathit{P}}_{\mathit{J}}

(J=0,1,2) and

^{1}

{\mathit{I}}_{6}

intermediate states of the 4

{\mathit{f}}^{2}

configuration. The structure and line shape of the two-photon excitation spectrum spanning the 39 600--46 950 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$ transition-energy range are entirely dominated by these resonantly enhanced transitions, while the contributions from nonresonant transitions appear as a slowly varying background beneath the strong resonance peaks. A two-photon absorption cross section as high as 4\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}50}$

{\mathrm{cm}}^{4}

s is measured at the peak of the resonantly enhanced transition at 44 246 ${\mathrm{cm}}^{\mathrm{\ensuremath{-}}1}$, which involves a level of the

^{3}

{\mathit{P}}_{2}

manifold as the intermediate state. The spectrally integrated cross section over that manifold is 3.3\ifmmode\times\else\texttimes\fi{}${10}^{\mathrm{\ensuremath{-}}38}$

{\mathrm{cm}}^{4}