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The Japan Society of Applied Physics

Study of detection method of Coherent Population Trapping resonance considering time response

Yuichiro Yano, Motoaki Hara, Masatoshi Kajita, T. Ido

Published Feb 3, 2017• 0 citations
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Fast numerical analysis of the time response in coherent population trapping resonance based on Galerkin spectral method

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Abstract We propose a new algorithm to calculate the time response of coherent population trapping (CPT) resonance. The Galerkin method using a Fourier series as a basis function (Galerkin spectral method) is widely employed for the numerical analysis of piezoelectric mechanical resonators such as quartz. We attempted to apply this method to the analysis of CPT resonance. Unlike the conventional method, in which the time is digitally divided into short intervals, a continuous function can be applied to calculate the time response in the new algorithm. Therefore, not only the calculation cost can be substantially reduced, but also the behavior of CPT resonance under complicated perturbations due to laser frequency instability can be analyzed.

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Non-Stationary Coherent Population Trapping in Frequency-Modulated Fields

Vladimir Leonardovich Derbov, Inna L. Plastun, Alexandr A. Orudjev

Izvestiya of Saratov University Physics•Jan 1, 2011•0 citations
Abstract We propose a new algorithm to calculate the time response of coherent population trapping (CPT) resonance. The Galerkin method using a Fourier series as a basis function (Galerkin spectral method) is widely employed for the numerical analysis of piezoelectric mechanical resonators such as quartz. We attempted to apply this method to the analysis of CPT resonance. Unlike the conventional method, in which the time is digitally divided into short intervals, a continuous function can be applied to calculate the time response in the new algorithm. Therefore, not only the calculation cost can be substantially reduced, but also the behavior of CPT resonance under complicated perturbations due to laser frequency instability can be analyzed.