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Physical Review Letters

Transporting Rydberg Electron Wave Packets with Chirped Trains of Pulses

J. J. Mestayer, Wen Kui Zhao, J. C. Lancaster, F. B. Dunning, Carlos O Reinhold, S. Yoshida, Joachim Burgdörfer

Published Nov 2, 2007• 23 citations
Publisher

Abstract

A protocol for steering Rydberg electrons towards targeted final states is realized with the aid of a chirped train of half-cycle pulses (HCPs). Its novel capabilities are demonstrated experimentally by transporting potassium atoms excited to the lowest-lying quasi-one-dimensional states in the n(i)=350 Stark manifold to a narrow range of much higher-n states. We demonstrate that this coherent state transfer is, to a high degree, reversible. The protocol allows for remarkable selectivity and is highly efficient, with typically over 80% of the parent atoms surviving the HCP sequence.

DOI
10.1103/physrevlett.99.183003

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Physical Review A•Mar 24, 2006•10 citations
A protocol for steering Rydberg electrons towards targeted final states is realized with the aid of a chirped train of half-cycle pulses (HCPs). Its novel capabilities are demonstrated experimentally by transporting potassium atoms excited to the lowest-lying quasi-one-dimensional states in the n(i)=350 Stark manifold to a narrow range of much higher-n states. We demonstrate that this coherent state transfer is, to a high degree, reversible. The protocol allows for remarkable selectivity and is highly efficient, with typically over 80% of the parent atoms surviving the HCP sequence.
We present protocols for steering a Rydberg wave packet towards a preferred region in phase space using a train of half-cycle pulses. Developing such protocols is aided by classical phase space portraits. The classical phase space changes its structure as the frequency and the strength of a train of pulses are modulated. The quantum wave packet can be made to follow such a change. The movement of the wave packet can thus be controlled by a proper modulation of the perturbation. In addition, this technique can be used to create a focused wave packet or to transfer it from one island to another associated with a different quasi-periodic motion.
We show that strongly polarized very-high-n (n approximately 600) potassium Rydberg atoms can be produced by manipulating lower-n (n approximately 350) polarized atoms using a tailored sequence of ultrashort half-cycle pulses (HCPs). The protocol for this involves first a weak HCP that generates transient phase-space localization whereupon a second large HCP of opposite polarity excites the electron to a broad distribution of highly elongated states. This distribution is then refocused by a short periodic train of HCPs using the properties of (un)stable manifolds near fixed points in phase space.
We discuss a protocol for efficient and quick transfer of population between nearly one-dimensional Rydberg states by a chirped train of half-cycle pulses. The chirp refers both to the time interval and relative strength between subsequent pulses. The most spectacular result obtained by the use of this protocol is the transfer of over 10% of the initial population from the high-Rydberg state of n=50,80n=50,80n=50,80 to much lower ones of ${n}^{\ensuremath{'}}\ensuremath{\approx}10$ in a short time of the order of 1 ns.
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 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 response of quasi-one-dimensional very-high-nnn Rydberg atoms to a periodic train of short unidirectional electric-field pulses, termed half-cycle pulses (HCPs), is studied at high scaled frequencies. Pronounced nonmonotonic structure in the survival probability is observed as NNN, the number of HCPs in the train is increased, the survival probability actually increasing with NNN over certain ranges of NNN. This behavior is very sensitive to the polarization of the Rydberg states and is explained with the aid of classical simulations.