G. Santarelli et al., FREQUENCY STABILITY DEGRADATION OF AN OSCILLATOR SLAVED TO A PERIODICALLY INTERROGATED ATOMIC RESONATOR, IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 45(4), 1998, pp. 887-894
Atomic frequency standards using trapped ions or cold atoms work intri
nsically in a pulsed mode. Theoretically and experimentally, this mode
of operation has been shown to lead to a degradation of the frequency
stability due to the frequency noise of the interrogation oscillator.
In this paper a physical analysis of this effect has been made by eva
luating the response of a two-level atom to the interrogation oscillat
or phase noise in Ramsey and multi-Rabi interrogation schemes using a
standard quantum mechanical approach. This response is then used to ca
lculate the degradation of the frequency stability of a pulsed atomic
frequency standard such as an atomic fountain or an ion trap standard.
Comparison is made to an experimental evaluation of this effect in th
e LPTF Cs fountain frequency standard, showing excellent agreement.