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Study of the Electromagnetic-Induced Transparency and its Dependence on Probe Decay for Cascade, Lambda, and Vee Models

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Abstract

In this work, interaction of the electromagnetic wave with three-level cascade (\({\Xi }\)), lambda (\({\Lambda }\)), and Vee (\({\text{V}}\)) atomic system has been discussed analytically. The steady-state solutions of optical Bloch equations for all three-level atomic models are obtained to get the absorption and dispersion profile of the probe field. The phenomenon of electromagnetic-induced transparency (EIT) can be observed when the coupling field is applied along with the probe field. The variation of the probe absorption and EIT with the probe decay rate for all three-level atomic models has also been discussed. Furthermore, reduction in the linewidth of EIT window for the lambda and vee models has been shown on increasing the probe decay rate. Numerical results reported in this work may be proved beneficial in high-resolution spectroscopy and atom-based metrology by exploiting the narrow linewidth of the EIT signal.

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Acknowledgements

S. S. Nande is thankful to ISERC Department, Visva-Bharati University, Shantiniketan, West Bengal. S. S. Nande is also thankful to the Electromagnetic Metrology section of CSIR-National Physical Laboratory, New Delhi for supporting his visit. Monika Thakran is thankful to Union Grant Commission for Junior Research Fellowship. H. S. Rawat is thankful to Science and Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India, Confederation of Indian Industry (CII), and Rohde & Schwarz India Pvt. Ltd. for the Prime Minister Fellowship for Doctoral Research. Monika Thakran and H. S. Rawat also like to thank Academy of Scientific & Innovative Research (AcSIR) to provide opportunity to work at CSIR-NPL through their Ph.D. Program. Authors are also thankful to the CSIR for FTT project MLP191132 to established Rydberg atom-based sensing at CSIR-NPL.

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Authors and Affiliations

  1. Visva-Bharati University, Shantiniketan, West Bengal, 731235, India

    Swaraj Shekhar Nande

  2. Academy of Scientific and Innovative Research (AcSIR), Ghaziabad-201002, India

    Monika Thakran, Harish Singh Rawat & Satya Kesh Dubey

  3. CSIR-National Physical Laboratory, Dr. K. S. Krishnan Marg, New Delhi, 110012, India

    Monika Thakran, Harish Singh Rawat & Satya Kesh Dubey

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  1. Swaraj Shekhar Nande
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Correspondence to Satya Kesh Dubey.

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Nande, S.S., Thakran, M., Rawat, H.S. et al. Study of the Electromagnetic-Induced Transparency and its Dependence on Probe Decay for Cascade, Lambda, and Vee Models. MAPAN 37, 347–355 (2022). https://doi.org/10.1007/s12647-021-00510-9

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