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APS

Measurement of the Probability Distribution of Stark Wavepackets

M. B. Campbell, T. J. Bensky, R. R. Jones

Published May 1, 1998• 0 citations
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Abstract We examine properties of the energy-density and photon-probability centroids of electromagnetic wavepackets in free space. In the second-order paraxial approximation, both of these centroids propagate with the same subluminal velocity because of the transverse confinement of the wavepacket and its diffraction. The tiny difference between the energy and probability centroid velocities appears only in the fourth order. We consider three types of wavepackets: Gaussian, Bessel, and non-diffracting Bessel. In all these cases, the subluminal propagation is clearly visible in the intensity distributions and can be measured experimentally in both classical-light and single-photon regimes. For Gaussian wavepackets, the half-wavelength delay is accumulated after propagation over about 12 Rayleigh lengths.

arXiv:2306.00490•Journal of Physics A Mathematical and Theoretical•Aug 11, 2023•3 citations
Localized wavepackets are created in high- n ( n ~ 300) Rydberg atoms which travel in near-circular orbits around the nucleus. Application of carefully tailored electric fields to quasi-1D Rydberg atoms creates coherent superpositions of Stark states with near extreme values of one of the components of the angular momentum. Half-cycle electric field pulses (HCPs) probe the dynamics of the circular states producing signature oscillations in survival probability that correspond to the expected wavepacket evolution. Although these wavepackets slowly dephase and lose their localization, their motion can be followed for several orbits and provides an analog of the original Bohr model, i.e., an electron in circular classical orbit around the nucleus. Measurements of the asymmetry in survival probability with increasing probe strength at different phases of the orbit confirm orbital motion of the wavepacket. Classical trajectory Monte-Carlo simulations (CTMC) agree with experimental results, and provide promising leads for future studies.
Abstract We examine properties of the energy-density and photon-probability centroids of electromagnetic wavepackets in free space. In the second-order paraxial approximation, both of these centroids propagate with the same subluminal velocity because of the transverse confinement of the wavepacket and its diffraction. The tiny difference between the energy and probability centroid velocities appears only in the fourth order. We consider three types of wavepackets: Gaussian, Bessel, and non-diffracting Bessel. In all these cases, the subluminal propagation is clearly visible in the intensity distributions and can be measured experimentally in both classical-light and single-photon regimes. For Gaussian wavepackets, the half-wavelength delay is accumulated after propagation over about 12 Rayleigh lengths.