A three-photon process using radiation at 2430 and 3660 A and with a 1s-2s two-photon resonance is used to excite atomic hydrogen from the ground state to Rydberg states of high principal quantum number. Collision-induced ionization is used to monitor the excitation.

Optics LettersJan 1, 198311 citations

Physics Letters A

Two-photon transitions to Rydberg states of hydrogen

Rachna Joshi

Published Sep 30, 2006• 7 citations

Publisher

DOI: 10.1016/j.physleta.2006.09.055

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S

) transitions between Rydberg states involving the absorption and emission of at least three photons in the interaction of two-color corotating circularly polarized laser pulses with the hydrogen atom. Our analysis is based on results of numerical solutions of the corresponding time-dependent Schr\"odinger equation. The results for the interaction with ($\ensuremath{\omega},2\ensuremath{\omega}$) fields show that the simultaneous interaction with both fields results in an excited state distribution over a broad range of magnetic quantum numbers. Indications of the impact of the $\mathrm{\ensuremath{\Lambda}}, V$, and

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S

state and the outer electron in essentially a hydrogenic state

n

to another

S

inner-core state and the outer electron in another hydrogenic state ${n}^{\ensuremath{'}}$. We find the leading contribution comes from terms in which the photon is received by the inner core. The excitation of the outer electron is done in intermediate states. The transition amplitude factors into a part entirely dependent on the inner core and a part which is a simple hydrogenic matrix element for the outer electron. The form of the amplitudes suggest that the coefficient to the hydrogenic matrix element be called a "transition polarizability."