85 citations · 157 across the 6 of their papers we have counts for
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Factorization of numbers with Gauss sums: II. Suggestions for implementations with chirped laser pulses
W. Merkel, S. Wölk, W. P. Schleich +3
We propose three implementations of the Gauss sum factorization schemes discussed in part I of this series: (i) a two-photon transition in a multi-level ladder system induced by a…
Factorization of numbers with Gauss sums: I. Mathematical background
S. Wölk, W. Merkel, W. P. Schleich +2
We use the periodicity properties of generalized Gauss sums to factor numbers. Moreover, we derive rules for finding the factors and illustrate this factorization scheme for variou…
Chirping a two-photon transition in a multi-state ladder
Wolfgang Merkel, Holger Mack, Wolfgang P. Schleich +3
We consider a two-photon transition in a specific ladder system driven by a chirped laser pulse. In the weak field limit, we find that the excited state probability amplitude arise…
NMR experiment factors numbers with Gauss sums
Michael Mehring, Klaus Mueller, Ilya Sh. Averbukh +2
We factor the number 157573 using an NMR implementation of Gauss sums.
Inelastic scattering of light by a cold trapped atom: Effects of the quantum center-of-mass motion
Marc Bienert, Wolfgang Merkel, Giovanna Morigi
The light scattered by a cold trapped ion, which is in the stationary state of laser cooling, presents features due to the mechanical effects of atom-photon interaction. These feat…
Resonance fluorescence of a trapped three-level atom
Marc Bienert, Wolfgang Merkel, Giovanna Morigi
We investigate theoretically the spectrum of resonance fluorescence of a harmonically trapped atom, whose internal transitions are --shaped and driven at two-photon resonance by…