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

Denis V. Brazhnikov, Moustafa Abdel Hafiz, Gregoire Coget, Rodolphe Boudot

Research output: Chapter in Book/Report/Conference proceedingConference contributionResearchpeer-review

Abstract

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.

Original languageEnglish
Title of host publication2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium, EFTF/IFC 2017 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages614-615
Number of pages2
ISBN (Electronic)9781538629161
DOIs
Publication statusPublished - 27 Oct 2017
Event2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium, EFTF/IFC 2017 - Besancon, France
Duration: 9 Jul 201713 Jul 2017

Conference

Conference2017 Joint Conference of the European Frequency and Time Forum and IEEE International Frequency Control Symposium, EFTF/IFC 2017
CountryFrance
CityBesancon
Period09.07.201713.07.2017

Keywords

  • coherent population trapping
  • dark resonance
  • density matrix
  • quantum metrology
  • vapour cell

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