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Controlling a Rydberg wave packet using a half-cycle pulse

D. N. Hutchinson, Jaewook Ahn, Chitra Rangan +1 more

APSMay 1, 20010 citations

Classical and quantum scaling for localization of half-cycle pulse-driven Rydberg wave packets

D. G. Arbó, Carlos O Reinhold, Joachim Burgdörfer

Rydberg wave packets generated by a single half-cycle pulse (HCP) interacting with a stationary Rydberg state periodically localize within a narrow region in both momentum and coordinate space (i.e., phase space). This property is the key to shaping and manipulating wave packets. We investigate the dependence of this transient localization and focusing on the principal quantum number n and on the strength of the ultrashort HCP (``kick strength,'' $\ensuremath{\Delta}p).$ It is shown that the localization in momentum space of the wave packet, quantified by the momentum width, obeys a universal scaling rule which is controlled by an effective Planck constant ${\ensuremath{\Elzxh}}_{\mathrm{eff}}.$ Maximum focusing is reached in the classical limit $({\ensuremath{\Elzxh}}_{\mathrm{eff}}\ensuremath{\rightarrow}0).$Rydberg wave packets generated by a single half-cycle pulse (HCP) interacting with a stationary Rydberg state periodically localize within a narrow region in both momentum and coordinate space (i.e., phase space). This property is the key to shaping and manipulating wave packets. We investigate the dependence of this transient localization and focusing on the principal quantum number n and on the strength of the ultrashort HCP (``kick strength,'' $\ensuremath{\Delta}p).$ It is shown that the localization in momentum space of the wave packet, quantified by the momentum width, obeys a universal scaling rule which is controlled by an effective Planck constant ${\ensuremath{\Elzxh}}_{\mathrm{eff}}.$ Maximum focusing is reached in the classical limit $({\ensuremath{\Elzxh}}_{\mathrm{eff}}\ensuremath{\rightarrow}0).$

Physical Review AFeb 26, 20047 citations

Spatially Localized Rydberg Electronic Wave Packets

John A. Yeazell

Jan 1, 19890 citations

Deexcitation of high-Rydberg-state atoms with a chirped train of half-cycle pulses

T. Kopyciuk, R. Parzyński

Encouraged by the experiments on production of antihydrogen atoms in high Rydberg states we have calculated the effect of deexcitation towards lower states by a chirped train of identical unidirectional half-cycle pulses. The calculations exploit both the one-dimensional and impulse approximations providing convenient analytical formulas for the Rydberg-to-Rydberg transition amplitudes. The calculated deexcitation is shown in terms of the mean value of localization of the Rydberg wave packet in the coordinate space, the Rydberg-state population distribution, the Husimi phase-space distribution function, and the probability density distribution, each of these measures vs the length of the applied train of half-cycle pulses. The results for chirped trains are compared with those for periodic trains and examples of higher deexcitation efficiency of the chirped trains are given.Encouraged by the experiments on production of antihydrogen atoms in high Rydberg states we have calculated the effect of deexcitation towards lower states by a chirped train of identical unidirectional half-cycle pulses. The calculations exploit both the one-dimensional and impulse approximations providing convenient analytical formulas for the Rydberg-to-Rydberg transition amplitudes. The calculated deexcitation is shown in terms of the mean value of localization of the Rydberg wave packet in the coordinate space, the Rydberg-state population distribution, the Husimi phase-space distribution function, and the probability density distribution, each of these measures vs the length of the applied train of half-cycle pulses. The results for chirped trains are compared with those for periodic trains and examples of higher deexcitation efficiency of the chirped trains are given.

Physical Review AMay 14, 20075 citations

Steering Rydberg wave packets using a chirped train of half-cycle pulses

S. Yoshida, Carlos O Reinhold, Emil Persson +2 more

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 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.

Journal of Physics B Atomic Molecular and Optical PhysicsJan 6, 200517 citations

Precise manipulation of Rydberg wave packets

B. Wyker, F. B. Dunning, Carlos O Reinhold +2 more

Bulletin of the American Physical SocietyMay 27, 20100 citations

Localization of a half-cycle pulse-induced Rydberg wave packet in phase space: An analytical description

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Localization of a half-cycle pulse-induced Rydberg wave packet in phase space: An analytical description

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