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- W2100901412 abstract "We present a theory of resonant processes in a frozen gas of atoms interacting via dipole-dipole potentials that vary as ${r}^{ensuremath{-}3}$, where r is the interatomic separation. We supply an exact result for a single atom in a given state interacting resonantly with a random gas of atoms in a different state. The time development of the transition process is calculated both on and off resonance, and the linewidth with respect to detuning is obtained as a function of time t. We introduce a random spin Hamiltonian to model a dense system of resonators, and show how it reduces to the previous model in the limit of a sparse system. We derive approximate equations for the average effective spin, and we use them to model the behavior seen in the experiments of Anderson, Veale, and Gallagher [Phys. Rev. Lett. 80, 249 (1998)] and Lowell and co-workers [Ph.D. dissertation, University of Virginia, 1998, and (unpublished)]. The approach to equilibrium is found to be proportional to $mathrm{exp}(ensuremath{-}sqrt{{ensuremath{gamma}}_{mathrm{eq}}t})$, where the constant ${ensuremath{gamma}}_{mathrm{eq}}$ is explicitly related to the system's parameters." @default.
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- W2100901412 date "1999-06-01" @default.
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- W2100901412 title "Resonant processes in a frozen gas" @default.
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- W2100901412 doi "https://doi.org/10.1103/physreva.59.4358" @default.
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