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Physical Review A

Effect of extra resonances in the Rydberg-to-Rydberg Raman migration

Andrzej Grudka

Published Apr 16, 2001• 0 citations
Publisher

Abstract

It is shown that in the $|\ensuremath{\Delta}l|=2,$ resonant Raman migration of the population between Rydberg states of comparable principal quantum numbers $n\ensuremath{\gg}1,$ the coupling of the resonant intermediate state to a lower-lying one acts as a suppressor of the migration due to the shift splitting of the resonant state.

DOI
10.1103/physreva.63.055402

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It is shown that in the ∣\ensuremathΔl∣=2,|\ensuremath{\Delta}l|=2,∣\ensuremathΔl∣=2, resonant Raman migration of the population between Rydberg states of comparable principal quantum numbers n\ensuremath≫1,n\ensuremath{\gg}1,n\ensuremath≫1, the coupling of the resonant intermediate state to a lower-lying one acts as a suppressor of the migration due to the shift splitting of the resonant state.
Within a fully analytically solvable model, we discuss the mechanisms of strong-field suppression of ionization from the initial s state via a family of p Rydberg states to s and d continua. Both Raman coupling via a continuum between different p Rydberg states and Raman migration of population via d continuum from p to higher angular momentum f Rydberg states are considered. The results are compared with those obtained neglecting Raman couplings via the continuum between Rydberg states of the same and different angular momenta. A profound effect of Raman couplings on ionization is demonstrated.
An analytical study is presented of two models of intense-laser ionization from an isolated initial state via a band of high-Rydberg states in a system which bears many features of the hydrogen atom. The models differ in the way the population from the directly excited Rydberg states can migrate to the states of higher angular momenta. In one of them it migrates via nonresonant and in the other via resonant degenerate Raman coupling. Within these models we draw conclusions about the efficiency of migration, the initial-state lifetime, the redistribution of population, the laser intensities stabilizing the atom against ionization, the effect of the initial state on the threshold stabilizing intensity, as well as about stabilizing mechanisms versus the initial-state choice.
We introduce a model of laser pulse ionization of a high Rydberg state whose core is a chain of coupled V-type transitions with exact resonance in each arm of the V. Through this chain the population is allowed to migrate resonantly from the initial state of low angular momentum to other bound states of higher angular momenta, both of low and high energy. Along with the redistribution of the initial population over different bound states, we discuss the effect of the redistribution on atomic stabilization, exploiting an analytical solution of the model that holds in a limiting case. The resonant migration mentioned is shown to be able to enhance atomic stabilization against ionization by an optical-frequency pulse.