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Two-Photon Blockade with Second-Order Nonlinearity in Cavity Systems

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Abstract

Two-photon and multi-photon blockade have become the research focus recently with the development of single-photon blockade. However, we notice that the study of the two-photon and multi-photon blockades has mainly focused on the systems of an optical cavity strongly coupled to the atoms or the Kerr nonlinearity. In this paper, we study the two-photon blockade in a second-order nonlinear system. We find that a strong two-photon blockade can be obtained in the second-harmonic mode with a coherent light driving to the fundamental mode, while the drive of second-harmonic mode will not give rise to the two-photon blockade, this phenomenon is explained from the effective energy levels enabled by different drivers. Different from the other schemes of photon blockade, the single-photon blockade in the fundamental mode and two-photon blockade in the second-harmonic mode exist simultaneously due to the nature of this system.

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Funding

Key-Area Research and Development Program of GuangDong province (2018B03-0326001), National Natural Science Foundation of China (NSFC) (Grants Nos. 11804228, 11965017, 12005032, 12004253 and 11774076), Jiangxi Natural Science Foundation (20212BAB211018, 20212BAB201025, 20192ACBL20051).

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Correspondence to Yan-Hui Zhou.

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Wu, QC., Zhang, XY., Wang, YM. et al. Two-Photon Blockade with Second-Order Nonlinearity in Cavity Systems. Int J Theor Phys 61, 21 (2022). https://doi.org/10.1007/s10773-022-05024-x

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