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Physical Review Letters

Engineering Very-High- n Polarized Rydberg States Using Tailored Half-Cycle-Pulse Sequences

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

Published Oct 12, 2005• 11 citations
Publisher

Abstract

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.

DOI
10.1103/physrevlett.95.163007

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Journal of Physics B Atomic Molecular and Optical Physics•Aug 10, 2001•17 citations
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.
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.
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.
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.
Atoms in high-lying Rydberg states with large values of principal quantum number n, n ≥300, form a valuable laboratory in which to explore the control and manipulation of quantum states of mesoscopic size using carefully tailored sequences of short electric field pulses whose characteristic times (duration and/or rise/fall times) are less than the classical electron orbital period. Atoms react to such pulse sequences very differently than to short laser or microwave pulses providing the foundation for a number of new approaches to engineering atomic wavefunctions. The remarkable level of control that can be achieved is illustrated with reference to the generation of localized wavepackets in Bohr-like near-circular orbits, and the production of non-dispersive wavepackets under periodic driving and their transport to targeted regions of phase space. New protocols continue to be developed that will allow even tighter control with the promise of new insights into quantum-classical correspondence, information storage in mesoscopic systems, physics in the ultra-fast ultra-intense regime, and non-linear dynamics in driven systems.
A technique for generating Rydberg wavepackets in preferred target states is demonstrated that exploits the mixed phase space structure of the periodically `kicked' Rydberg atom. Experimental data and classical simulations for very-high- n Rydberg atoms are presented that show that application of a train of equispaced, unidirectional half-cycle pulses can lead to localization of the final wavepacket in classical stable islands. The product wavepackets are examined using a delayed half-cycle probe pulse. It is demonstrated that the motion of the wavepackets is either quasiperiodic or random depending on whether or not the initial state of the atom overlaps a stable island.