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Diffusion of resonance excitation through a one-dimensional gas

Edward M. D'Arcy

Published Jan 1, 1969• 2 citations
OpenAlex

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McIntyre and Fowler reported on an equation for the diffusion of resonance excitation through a gas. A one-dimensional analogue of their equation is presented together with illustrations of numerical solutions. In the case where the mean translational distance moved by an atom between absorption and reemission and the expected skip distance of a photon during an emission-reabsorption process are roughly equal, solutions are obtained considering both processes and then suppressing the former. Illustrations are presented to estimate the relative importance of the contribution of the translation of excited states to the total diffusion process.
Abstract In this work, a method for solving the problem of efficient population transfer from the ground to some excited state by available technical means (varying resonator length) is proposed. We consider a mixture of similar quantum systems distributed in a stationary gas flow in the resonator with variable resonator length, which implements tailored laser field close to the optimal one. In difference from previous works, in this work piezoelectric transducer (PZT; or actuator) is used as mean of control to manipulate variable resonator length. The external actions are optimized to selectively prepare different stationary states of different species which are then separated using their diffusion with rates which differ due to different masses. This system provides an example of the general problem of optimizing states of distributed systems with stationary gas flow with diffusion.