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Trapping effects in quantum atomic arrays

Zhang, Pengfei (2022) Trapping effects in quantum atomic arrays. SciPost Physics Core, 5 (1). ISSN 2666-9366. doi:10.21468/scipostphyscore.5.1.010.

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Quantum emitters, particularly atomic arrays with subwavelength lattice constant, have been proposed to be an ideal platform for studying the interplay between photons and electric dipoles. In this work, motivated by the recent experiment [1], we develop a microscopic quantum treatment using annihilation and creation operator of atoms in deep optical lattices. Using a diagrammatic approach on the Keldysh contour, we derive the cooperative scattering of the light and obtain the general formula for the S matrix. We apply our method to study the trapping effect, which is beyond previous treatment with spin operators. If the optical lattices are formed by light fields with magical wavelength, the result matches previous results using spin operators. When there is a mismatch between the trapping potentials for atoms in the ground state and the excited state, atomic mirrors become imperfect, with multiple resonances in the optical response. We further study the effect of recoil for large but finite trapping frequency. Our results are consistent with existing experiments.

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Zhang, Pengfei0000-0002-7408-0918
Additional Information:We especially thank Yu Chen and Jianwen Jie for helpful discussions. We thank the Referee for bringing several related works to our attention, and the suggestion of studying the recoil effect. P.Z. acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.
Group:Walter Burke Institute for Theoretical Physics
Issue or Number:1
Record Number:CaltechAUTHORS:20220923-941669700.3
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:117121
Deposited By: Melissa Ray
Deposited On:28 Sep 2022 21:33
Last Modified:28 Sep 2022 21:33

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