Analytical Expressions for Parameters of the Dark Resonance in a Vacuum Vapour Cell

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TitreAnalytical Expressions for Parameters of the Dark Resonance in a Vacuum Vapour Cell
Type de publicationConference Paper
Year of Publication2017
AuteursBrazhnikov DV, Hafiz MAbdel, Coget G, Boudot R
Conference Name2017 JOINT CONFERENCE OF THE EUROPEAN FREQUENCY AND TIME FORUM AND IEEE INTERNATIONAL FREQUENCY CONTROL SYMPOSIUM (EFTF/IFC)
PublisherIEEE
Conference Location345 E 47TH ST, NEW YORK, NY 10017 USA
ISBN Number978-1-5386-2916-1
Mots-cléscoherent population trapping, dark resonance, density matrix, quantum metrology, vapour cell
Résumé

In spite of great number of papers devoted to theoretical and experimental study of the coherent population trapping phenomenon (CPT), still there is a lack of analytical results for the properties of the CPT-caused dark resonance in some principal cases. We will present the results of our study for single and double Lambda schemes of atomic energy levels, which are of great importance for various applications of CPT (atom clocks, magnetometers, etc.). Analytical expressions for width and amplitude of the dark resonances have been obtained, which are valid for wide range of light wave intensities. The results concern closed as well as open Lambda schemes. We will also discuss the difference between the two Lambda schemes and state the condition when a double scheme can be effectively treated as a single Lambda scheme. The analytical approximate formulas obtained have been compared with exact numerical solutions based on the optical Bloch equations as well as experimental.