Phonon-blockade-based multiple-photon bundle emission in a quadratically coupled optomechanical system

Abstract

We propose a scheme to realize antibunched multiple-photon bundles based on phonon blockade in a quadratically coupled optomechanical system. Through adjusting the detunings to match the conditions of phonon blockade in the photon sidebands, we establish super-Rabi oscillation between zero-photon state and multiple-photon states with adjustable super-Rabi frequencies under appropriate single-phonon resonant conditions. Taking the system dissipation into account, we numerically calculate the standard and generalized second-order functions of the cavity mode as well as the quantum trajectories of the state populations with Monte Carlo simulation to confirm that the emitted photons form antibunched multiple-photon bundles. Interestingly, the desirable n-photon states are reconstructed after a direct phonon emission based on phonon blockade, and thus the single-phonon emission heralds the cascade emission of n-photon bundles. Our proposal shows that the optomechanical system can simultaneously behave as antibunched multiple-photon emitter and single-phonon gun. Such a nonclassical source could have potential applications in quantum information science.

Graphical abstract

Keywords

multiple-photon bundle emission / phonon blockade / optomechanical system

References

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Declarations

The authors declare that they have no competing interests and there are no conflicts.

Data availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

Acknowledgements

Y.-J. Xu is supported by the National Science Foundation for Distinguished Young Scholars of the Higher Education Institutions of Anhui Province under Grant No. 2022AH020097, the Excellent Scientific Research and Innovation Team of Anhui Colleges under Grant No. 2022AH010098, and the Collaborative Innovation Project of University of Anhui Province under Grant No. GXXT-2022-088. H. Xie is supported by the National Natural Science Foundation of China under Grant No. 12174054.

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