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Electromagnetically induced transparencies with two transverse Bose–Einstein condensates in a four-mirror cavity

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Abstract

We investigate electromagnetically induced transparencies with two transverse Bose–Einstein condensates in four-mirror optical cavity, driven by a strong pump laser and a weak probe laser. The cavity mode, after getting split from beam splitter, interacts with two independent Bose–Einstein condensates transversely trapped in the arms of the cavity along x-axis and y-axis. The interaction of intra-cavity optical mode excites momentum side modes in Bose–Einstein condensates, which then mimic as two atomic mirrors coupled through cavity field. We show that the probe field photons transition through the atomic mirrors yields to two coupled electromagnetically induced transparency windows, which only exist when both atomic states are coupled with the cavity. Further, the strength of these novel electromagnetically induced transparencies gets increased with an increase in atom-cavity coupling. Furthermore, we investigate the behavior of Fano resonances and dynamics of fast and slow light. We illustrate that the Fano line shapes and dynamics of slow light can be enhanced by strengthening the interaction between atomic states and cavity mode. Our findings not only contribute to the quantum nonlinear optics of complex systems but also provide a platform to test multidimensional atomic states in a single system.

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The computational data generated and analyzed to obtain the results during study is available from the corresponding author upon reasonable request.

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Acknowledgements

K.A.Y. acknowledges the support of Research Fund for International Young Scientists by NSFC under Grant Nos. KYZ04Y22050, KYZ04Y22165, Zhejiang Normal University research funding under Grant No. ZC304021914 and Zhejiang province postdoctoral research project under Grant Number ZC304021952. L.Z.X. is supported by Zhejiang Provincial Natural Science Foundation of China under Grant No. LZ21A040001 and the National Natural Science Foundation of China under Grant No. 12074344. W.M.L. acknowledges the support from National Key R&D Program of China under grants No. 2021YFA1400900, 2021YFA0718300, 2021YFA1402100, NSFC under grants Nos. 61835013, 12174461, 12234012, Space Application System of China Manned Space Program. G.X.L. acknowledges the support of National Natural Science Foundation of China under Grant Nos. 11835011 and 11774316.

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Authors and Affiliations

  1. Department of Physics, Zhejiang Normal University, Jinhua, 321004, China

    Kashif Ammar Yasir, Zhaoxin Liang & Gao Xianlong

  2. Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing, 100190, China

    Wu-Ming Liu

  3. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, 100190, China

    Wu-Ming Liu

  4. Songshan Lake Materials Laboratory, Dongguan, 523808, Guangdong, China

    Wu-Ming Liu

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  1. Kashif Ammar Yasir
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Correspondence to Kashif Ammar Yasir.

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Yasir, K.A., Liang, Z., Liu, WM. et al. Electromagnetically induced transparencies with two transverse Bose–Einstein condensates in a four-mirror cavity. Eur. Phys. J. Plus 138, 29 (2023). https://doi.org/10.1140/epjp/s13360-022-03631-5

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