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Springer eBooks

On the Theory of Slow Identical Atom Collisions in a Radiation Field

Marek Trippenbach, J. Cooper

Published Jan 1, 1990• 0 citations
Publisher
DOI
10.1007/978-1-4613-0847-8_210

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Slow collisions between identical atoms in a laser field: The spectrum of redistributed light

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The resonance fluorescence from a system of interacting, identical, and cold (trapped) atoms driven by a laser field is derived. The effects of dressing by the laser field and radiative decay are all included. We examine in detail the applicability of the binary-collision approximation for this problem, which is a special case of resonance broadening. The final result allows a clear physical interpretation and shows interesting features due to the resonant exchange of coherences and excitations. Correspondence with previous work is also discussed.

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We have derived reduced-density-matrix equations of motion for a pair of two identical atoms moving in the radiation field as the first step in establishing a theory of collisional redistribution of light from neutral-atom traps. We use the Zwanzig projection-operator technique to average over spontaneous field modes and establish the conditions under which Born and Markov approximations can be applied to the system of moving atoms. It follows from these considerations that when these conditions hold, the reduced-density-matrix equation for moving atoms has the same form as that for the stationary case: time dependence is introduced into the decay rates and interaction potentials by making the substitution R=R(t).

Physical Review A•May 1, 1992•16 citations
The resonance fluorescence from a system of interacting, identical, and cold (trapped) atoms driven by a laser field is derived. The effects of dressing by the laser field and radiative decay are all included. We examine in detail the applicability of the binary-collision approximation for this problem, which is a special case of resonance broadening. The final result allows a clear physical interpretation and shows interesting features due to the resonant exchange of coherences and excitations. Correspondence with previous work is also discussed.
We have derived reduced-density-matrix equations of motion for a pair of two identical atoms moving in the radiation field as the first step in establishing a theory of collisional redistribution of light from neutral-atom traps. We use the Zwanzig projection-operator technique to average over spontaneous field modes and establish the conditions under which Born and Markov approximations can be applied to the system of moving atoms. It follows from these considerations that when these conditions hold, the reduced-density-matrix equation for moving atoms has the same form as that for the stationary case: time dependence is introduced into the decay rates and interaction potentials by making the substitution R=R(t).