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arXiv:1805.02218 · Physical Review A

Unconventional photon blockade in three-mode optomechanics

Bijita Sarma, Amarendra K. Sarma

Published Jul 16, 2018• 83 citations
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Abstract

We analyze the photon correlations in an optomechanical system containing two nonlinear optical modes and one mechanical mode which are coupled via a three-mode mixing. Under a weak driving condition, we determine the optimal conditions for photon antibunching in the weak-Kerr-nonlinear regime and find that the analytical calculations are consistent with the numerical results. The photon blockade effect is attributed to destructive quantum interference in the two-photon excitation pathways created as a result of the three-mode interaction.

DOI
10.1103/physreva.98.013826

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We analyze the photon correlations in an optomechanical system containing two nonlinear optical modes and one mechanical mode which are coupled via a three-mode mixing. Under a weak driving condition, we determine the optimal conditions for photon antibunching in the weak-Kerr-nonlinear regime and find that the analytical calculations are consistent with the numerical results. The photon blockade effect is attributed to destructive quantum interference in the two-photon excitation pathways created as a result of the three-mode interaction.
We show that in laser-driven coupled optomechanical systems, photon antibunching can occur under weak optomechanical coupling, contrarily to common expectation. This unconventional photon blockade originates from destructive quantum interference between different excitation pathways bringing from the ground to two-photon states. Using a quantum open-system approach, we study the antibunching as a function of driving field amplitude, temperature, and pure dephasing rate, and derive optimal values of the system parameters for its occurrence. These values are remarkably close to those characterizing optomechanical systems in some current experimental studies.
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Abstract Photon statistics in a weakly driven optomechanical cavity, with Kerr-type nonlinearity, are analyzed both analytically and numerically. The single-photon blockade effect is demonstrated via calculations of the zero-time-delay second-order correlation function g (2) (0). The analytical results obtained by solving the Schrödinger equation are in complete conformity with the results obtained through numerical solution of the quantum master equation. A systematic study on the parameter regime for observing photon blockade in the weak coupling regime is reported. The parameter regime where the photon blockade is not realizable due to the combined effect of nonlinearities owing to the optomechanical coupling and the Kerr-effect is demonstrated. The experimental feasibility with state-of-the-art device parameters is discussed and it is observed that photon blockade could be generated at the telecommunication wavelength. An elaborate analysis of the thermal effects on photon antibunching is presented. The system is found to be robust against pure dephasing-induced decoherences and thermal phonon number fluctuations.