Physical Review A

Comment on ‘‘Microwave multiphoton transitions between Rydberg states of potassium’’

Suzanne Yoakum, Willem van de Water, Leo Moorman, Ton van Leeuwen, Peter M. Koch

Published Apr 1, 1991• 3 citations

Abstract

In a recent paper Stoneman, Thomson, and Gallagher [Phys. Rev. A 37, 1527 (1988)] studied the excitation of potassium Rydberg atoms in microwave fields for a few values of the initial S-state principal quantum number. In one case the measured excitation probability as a function of microwave amplitude showed a rather broad feature that was explained in terms of level crossings between quasienergy states. The details of a crucial ingredient of this explanation, namely, a broadening mechanism, were, however, left unexplained.

DOI: 10.1103/physreva.43.4065

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Physical Review A

Comment on ‘‘Microwave multiphoton transitions between Rydberg states of potassium’’

Suzanne Yoakum, Willem van de Water, Leo Moorman, Ton van Leeuwen, Peter M. Koch

Published Apr 1, 1991• 3 citations

Publisher

Abstract

DOI: 10.1103/physreva.43.4065

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Study of Microwave Multiphoton Transition of Rydberg Potassium Atom by Using B-Spline

Jin Jin, Cheng, Zhou +3 more

理论物理通讯：英文版Jan 1, 20050 citations

We study multiphoton transitions in helium Rydberg atoms subjected to a microwave electric field of fixed frequency but varying intensity. For each principal quantum number in the range n=25--32, the

{n}^{3}

S to

{n}^{3}

(L>2), n=25--32, transition probability exhibits very sharp structures as a function of the field amplitude. Their positions could be reproduced precisely using a Floquet Hamiltonian for the interaction between atom and field. Their shapes are determined by the transients of field turn-on and turn-off in a way that makes a close analogy with the theory of slow atomic collisions.

We report the observation of sequences of from 1- to as many as 28-photon transitions between potassium

(n+2)s

states and the lowest-energy Stark states of the

n

manifolds for $n=15\ensuremath{-}18$. The sequences are observed by the scanning of a static electric field from the field at which these pairs of levels nearly cross, to zero field where they are well separated. The maximum number of photons absorbed is observed to be proportional to the microwave field.

We study experimentally and theoretically the detailed field-amplitude dependence of the multiphoton ionization and excitation probability of highly excited

{\mathit{n}}_{0}

^{3}

S helium atoms in a 9.924-GHz linearly polarized microwave electric field. For ionization, with principal quantum numbers in the range

{\mathit{n}}_{0}

=25--32, we use a quasistatic analysis that employs integration of the time-dependent Schr\"odinger equation using basis states of the static field Hamiltonian. The calculated results are used to interpret the observed ionization threshold structure. For excitation, the results of

{\mathit{n}}_{0}

^{3}

S\ensuremath{\rightarrow}

{\mathit{n}}_{0}

^{3}

L, L>2 excitation experiments are explained quantitatively and precisely using a theory of multiphoton resonances. We present maps of quasienergy levels that allow the study of the dynamics of the field-switching transients. These transient effects are analyzed along the lines of standard atomic collision theory and are shown to determine the shape of the observed resonances.