TY - GEN

T1 - Analytical expressions for parameters of the dark resonance in a vacuum vapour cell

AU - Brazhnikov, Denis V.

AU - Hafiz, Moustafa Abdel

AU - Coget, Gregoire

AU - Boudot, Rodolphe

PY - 2017/10/27

Y1 - 2017/10/27

N2 - 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 A 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 A schemes. We will also discuss the difference between the two A schemes and state the condition when a double scheme can be effectively treated as a single A scheme. The analytical approximate formulas obtained have been compared with exact numerical solutions based on the optical Bloch equations as well as experimental.

AB - 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 A 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 A schemes. We will also discuss the difference between the two A schemes and state the condition when a double scheme can be effectively treated as a single A scheme. The analytical approximate formulas obtained have been compared with exact numerical solutions based on the optical Bloch equations as well as experimental.

KW - coherent population trapping

KW - dark resonance

KW - density matrix

KW - quantum metrology

KW - vapour cell

UR - http://www.scopus.com/inward/record.url?scp=85040176116&partnerID=8YFLogxK

U2 - 10.1109/FCS.2017.8088974

DO - 10.1109/FCS.2017.8088974

M3 - Conference contribution

AN - SCOPUS:85040176116

SP - 614

EP - 615

BT - 2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium, EFTF/IFC 2017 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium, EFTF/IFC 2017

Y2 - 9 July 2017 through 13 July 2017

ER -