Numerical computation of one-photon mazer resonances for arbitrary field modes

Details Numerical computation of one-photon mazer resonances for arbitrary field modes Numerical computation of one-photon mazer resonances for arbitrary field modes

1999-04-07

arxiv.org/abs/quant-ph/9904030v2

Comput.Phys.Commun. 124 (2000) 197-203

Physics

Quantum Physics

Published version

Scientific paper

10.1016/S0010-4655(99)00452-X

We present a novel approach for solving numerically one-dimensional scattering problems and apply it for computing the emission probability of an ultracold atom interacting with an arbitrary field mode of a high-$Q$ cavity. Our method is efficient, stable and succeeds when other numerical integration methods fail. It also replaces and improves advantageously the WKB approximation. The cases of sinusoidal, $\mathrm{sech}^2$ and Gaussian field modes are studied and compared. Divergences with previous works, where WKB was used, are found.

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