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Physical Review A

Interatomic interference in fluorescence excited by photodissociation

Gerard Nienhuis

Published Mar 1, 1985• 5 citations
Publisher

Abstract

Atomic fluorescence excited by photodissociation of a homonuclear diatomic molecule exhibits interference between emission events with a photon arising from atoms at different positions. When only one of the atoms is excited, this interference does not show up in the noise spectrum of the fluorescence, in contrast to what has previously been suggested. We indicate how the interference could be observed, and we describe its characteristics.

DOI
10.1103/physreva.31.1929

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Journal de Chimie Physique•Jan 1, 1997•0 citations
Atomic fluorescence excited by photodissociation of a homonuclear diatomic molecule exhibits interference between emission events with a photon arising from atoms at different positions. When only one of the atoms is excited, this interference does not show up in the noise spectrum of the fluorescence, in contrast to what has previously been suggested. We indicate how the interference could be observed, and we describe its characteristics.
When a homonuclear diatomic molecule is photodissociated to give one ground state and one electronically excited atom, the wave function of the two-atom systems must reflect an uncertainty as to which atom is excited. Consequently, the wave function of the photon for a photodetector viewing the resulting fluorescence must be written as a superposition of states. Detection of such photons is shown to give rise to an interference signal in the detector voltage at a frequency depending on the Doppler shift from the atomic recoil. Photodissociation of a random distribution of molecules gives rise to a detector voltage whose power spectral density is determined by the angular distribution of photofragments.
In photodissociation of a homonuclear diatomic molecule, conservation of linear and angular momenta requires that each atomic fragment follow identical but oppositely directed trajectories with respect to the molecular center of mass. For certain values of the incident photon energy, one of the atoms will be electronically excited while the other will be in its ground state. When a detector records the undispersed fluorescence from the decay of the excited atom it cannot distinguish which trajectory the excited atom followed and hence whether the photon possesses a blue or red Doppler shift corresponding to recoil towards or away from the detector. According to the principle of superposition in quantum mechanics, the wave function of the photon must be a sum over two paths corresponding to emission from an excited atom in either of the two recoil directions. Detection of such photons gives rise to an interference between the probability amplitudes for the two paths that is manifested in the output from the photodetector as a beat frequency. Since photodissociation of an ensemble of molecules gives rise to a distribution of recoil directions relative to the electric vector of the incident radiation, a range of beat frequencies must be present in the detected signal. This paper gives a calculation of expected output voltage waveforms from a photodetector viewing atomic fluorescence excited by molecular photodissociation. Expressions are given for partial Fourier transforms of the photodetector signals. The results show that the shape of the voltage waveforms depends strongly on the asymmetry parameter for recoil of the photofragments and on whether or not the magnetic sublevels of the excited atomic state are created in a coherent superposition.
We present a theoretical analysis of a previous experiment, in which a modulation in the time-resolved atomic fluorescence light following the photodissociation of Ca2 molecules by a pulsed laser was observed. First a calculation is performed on a simple model, involving two atoms coupled with the quantized radiation field. Then the validity of this model is discussed on molecular physics grounds. Finally, a quantitative analysis of the experiment is presented ; a good agreement is obtained if quasi-bound levels of the molecular ground state are taken into account.
We present experimental evidence for a modulation in the time-resolved atomic fluorescence light following the photodissociation of Ca2{\mathrm{Ca}}_{2}Ca2​ molecules by a pulsed laser. This modulation is due to an interference effect involving two atoms recoiling in opposite directions, while only one photon is emitted. The period of the modulation is equal to the time for the interatomic distance to increase by an optical wavelength.
Atomic fluorescence that accompanies the photodissociation of Ca2 molecules is modulated in time. This modulation was attributed to an interference between the fields emitted by the two atoms [1,2]. The effect of radiative resonant coupling between the atoms was considered to be negligible. It was suggested that the modulation of emission is analogous to the interaction of a single photon with two slits. However, the present article demonstrates that radiative resonant coupling is the main cause of the modulation, and the effect is not analogous to the interaction of single, space-time separated photons with two slits.