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Physical Review A

Production of quasi-one-dimensional very-high-nRydberg atoms

C. L. Stokely, J. C. Lancaster, F. B. Dunning, D. G. Arbó, Carlos O Reinhold, Joachim Burgdörfer

Published Jan 17, 2003• 54 citations
Publisher

Abstract

We demonstrate that strongly polarized quasi-one-dimensional very-high-n (potassium) Rydberg atoms can be produced by photoexcitation of selected Stark states in the presence of a weak dc field. Calculations show that, for $m=0$ states, significant photoexcitation occurs only in the vicinity of the Stark-shifted s, p, and d levels, and that those states located near the Stark-shifted d level have sizable polarizations. These predictions are confirmed by experiment. The degree of polarization of the product states is analyzed by studying differences in their ionization characteristics when subject to short pulsed electric fields applied parallel and antiparallel to the dc field.

DOI
10.1103/physreva.67.013403

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The characteristics of strongly-polarized quasi-one-dimensional (quasi-1D) Rydberg atoms produced by photoexcitation of selected Stark states in the n = 350 Stark manifold are investigated by studying their ionization when subject to sub-nanosecond unidirectional electric field pulses, termed half-cycle pulses (HCPs), directed both parallel and perpendicular to the atomic axis. The observed differences in the ionization characteristics provide a measure of the anisotropy of the momentum distribution and thus of the quasi-1D nature of the states. The response of such states to a train of HCPs directed parallel and anti-parallel to the axis of polarization of the initial state is also investigated. Pronounced differences in the survival probability are observed confirming theoretical predictions that the dynamical response of the system will be very different for these two conditions. The presence of noise is also observed to play a crucial role in the dynamics. Reasonable agreement between experiment and theory is achieved.

•Jan 1, 2005•0 citations
We demonstrate that strongly polarized quasi-one-dimensional very-high-n (potassium) Rydberg atoms can be produced by photoexcitation of selected Stark states in the presence of a weak dc field. Calculations show that, for m=0m=0m=0 states, significant photoexcitation occurs only in the vicinity of the Stark-shifted s, p, and d levels, and that those states located near the Stark-shifted d level have sizable polarizations. These predictions are confirmed by experiment. The degree of polarization of the product states is analyzed by studying differences in their ionization characteristics when subject to short pulsed electric fields applied parallel and antiparallel to the dc field.
The production of high-nnn, $n\ensuremath{\sim}300$, quasi-one-dimensional (quasi-1D) strontium Rydberg atoms through two-photon excitation of selected extreme Stark states in the presence of a weak dc field is examined using a crossed laser-atom beam geometry. The dipolar polarization of the electron wave function in the product states is probed using two independent techniques. The experimental data are analyzed with a classical trajectory Monte Carlo simulation employing initial ensembles that are obtained with the aid of quantum calculations based on a two-active-electron model. Comparisons between theory and experiment highlight different characteristics of the product quasi-1D states, in particular, their large permanent dipole moments, $\ensuremath{\sim}1.0to1.21.0 to 1.21.0to1.2{n}^{2}e{a}_{0}$, where eee is the electronic charge and a0{a}_{0}a0​ is the Bohr radius. Such states can be engineered using pulsed electric fields to create a wide variety of target states.
The characteristics of quasi-one-dimensional (1D) high-nnn Rydberg atoms produced by photoexciting, in a weak dc field, extreme members of the n=350n=350n=350 Stark manifold are investigated by studying their ionization when subjected to unidirectional electric field pulses, termed half-cycle pulses (HCP's), of duration Tp⪡Tn{T}_{p}⪡{T}_{n}Tp​⪡Tn​ where Tn{T}_{n}Tn​ is the classical electron orbital period, directed both parallel and perpendicular to the atomic axis. The observed differences in the ionization characteristics provide a measure of the anisotropy of the momentum distribution. It is shown that HCP's applied transverse to the atomic axis provide a particularly sensitive probe of the quasi-1D nature of the state. The experimental data are in good agreement with the results of classical trajectory Monte Carlo simulations.
The efficient production of very-high-nnn, $n\ensuremath{\sim}300$, quasi-one-dimensional (quasi-1D) strontium Rydberg atoms through three-photon excitation of extreme Stark states in the presence of a weak dc field is demonstrated using a crossed laser-atom beam geometry. Strongly polarized quasi-1D states with large permanent dipole moments $\ensuremath{\sim}1.2{n}^{2}$ a.u. can be created in the beam at densities ($\ensuremath{\sim}{10}^{6}$ cm${}^{\ensuremath{-}3}$) where dipole blockade effects should become important. A further advantage of three-photon excitation is that the product FFF states are sensitive to the presence of external fields, allowing stray fields to be reduced to very small values. The experimental data are analyzed using quantum calculations based on a two-active-electron model together with classical trajectory Monte Carlo simulations. These allow determination of the atomic dipole moments and confirm that stray fields can be reduced to $\ensuremath{\le}25\phantom{\rule{4pt}{0ex}}\ensuremath{\mu}$V cm${}^{\ensuremath{-}1}$.
The production of very-high-nnn ($n\ensuremath{\sim}300$--500) strontium Rydberg atoms is explored using a crossed-laser-atom-beam geometry. nnn1S0{}^{1}{S}_{0}1S0​ and nnn1D2{}^{1}{D}_{2}1D2​ states are created by two-photon excitation via the 5s5p5s5p5s5p 1P1{}^{1}{P}_{1}1P1​ intermediate state using radiation with wavelengths of $\ensuremath{\sim}$461 and $\ensuremath{\sim}$413 nm. Rydberg atom densities as high as $\ensuremath{\sim}3\ifmmode\times\else\texttimes\fi{}{10}^{5}$ cm${}^{\ensuremath{-}3}$ have been achieved, sufficient that Rydberg-Rydberg interactions can become important. The isotope shifts in the Rydberg series limits are determined by tuning the 461-nm light to preferentially excite the different strontium isotopes. Photoexcitation in the presence of an applied electric field is examined. The initially quadratic Stark shift of the nnn1P1{}^{1}{P}_{1}1P1​ and nnn1D2{}^{1}{D}_{2}1D2​ states becomes near-linear at higher fields and the possible use of n1D2n{}^{1}{D}_{2}n1D2​ states to create strongly polarized, quasi-one-dimensional electronic states in strontium is discussed. The data are analyzed with the aid of a two-active-electron (TAE) approximation. The two-electron Hamiltonian, within which the Sr2+{}^{2+}2+ core is represented by a semi-empirical potential, is numerically diagonalized allowing the calculation of the energies of high-nnn Rydberg states and their photoexcitation probabilities.
Quasi-one-dimensional (quasi-1D) atoms can be produced by photoexciting selected Stark states in the presence of a weak do field. For n ≥ 500, such direct excitation of quasi-ID atoms becomes problematic because stray fields and effective laser linewidths lead to creation of a range of Stark states with no preferred orientation. We show here that very-high- n quasi-1D atoms can be produced by a multi-step process in which lower- n ( n ∼350) quasi-1D atoms are first produced. The excited electron is then localized in phase space near the outer classical turning point at which time it is transferred to a highly-elongated very-high- n orbit using a half cycle pulse (HCP). This leads to the population of a broad distribution of final n states centered at n ∼580. It is shown that this broad distribution can be dramatically narrowed by subsequent application of further HCPs. The factors that govern the final n distribution are discussed with the aid of classical simulations. The availability of very-high- n quasi-1D atoms allows the dynamics of the periodically kicked atom to be examined at high scaled frequencies, v 0 ≈15. Novel behavior, such as local increases in survival probability with increasing number of kicks, is observed.
The characteristics of strongly-polarized quasi-one-dimensional (quasi-1D) Rydberg atoms produced by photoexcitation of selected Stark states in the n = 350 Stark manifold are investigated by studying their ionization when subject to sub-nanosecond unidirectional electric field pulses, termed half-cycle pulses (HCPs), directed both parallel and perpendicular to the atomic axis. The observed differences in the ionization characteristics provide a measure of the anisotropy of the momentum distribution and thus of the quasi-1D nature of the states. The response of such states to a train of HCPs directed parallel and anti-parallel to the axis of polarization of the initial state is also investigated. Pronounced differences in the survival probability are observed confirming theoretical predictions that the dynamical response of the system will be very different for these two conditions. The presence of noise is also observed to play a crucial role in the dynamics. Reasonable agreement between experiment and theory is achieved.