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Physical Review A

Conventional photon blockade with a three-wave mixing

Y. H. Zhou, X. Y. Zhang, Qi‐Cheng Wu, B. L. Ye, Zhiqiang Zhang, D. D. Zou, H. Z. Shen, Chui‐Ping Yang

Published Sep 10, 2020• 57 citations
Publisher

Abstract

The conventional photon blockade is studied in a three-wave-mixing system. The analytic conditions for realizing the photon blockade are obtained by analyzing the eigenvalues of the system Hamiltonian, which is expanded by an effective single excited space for the high-frequency mode. The numerical results are calculated by solving the master equation in a truncated Fock space, which agrees well with the analytic conditions. Different from the other schemes of the conventional photon blockade, photon antibunching can be realized in the three modes of the three-wave-mixing system simultaneously due to the nature of the system.

DOI
10.1103/physreva.102.033713

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The conventional photon blockade is studied in a three-wave-mixing system. The analytic conditions for realizing the photon blockade are obtained by analyzing the eigenvalues of the system Hamiltonian, which is expanded by an effective single excited space for the high-frequency mode. The numerical results are calculated by solving the master equation in a truncated Fock space, which agrees well with the analytic conditions. Different from the other schemes of the conventional photon blockade, photon antibunching can be realized in the three modes of the three-wave-mixing system simultaneously due to the nature of the system.
This paper discusses conventional photon blockade (CPB) and two-photon blockade (2PB) in a three-wave mixing system embedded with a two-level atom in the high-frequency cavity. Analytical conditions for achieving CPB and 2PB are obtained by analyzing the eigenvalues of the system Hamiltonian. Numerical solutions, derived by solving the master equation in a truncated Fock space, are consistent with the analytical conditions. Detailed analysis of system parameters reveals the influence of the embedded atom on achieving different types of photon blockade. Unlike previous schemes, this system can achieve single-photon blockade simultaneously in three photon modes. Additionally, by adjusting the coupling coefficient between the atom and high-frequency mode photons, the system can switch between single-photon blockade and two-photon blockade in the high-frequency mode.
In this paper, the unconventional photon blockade is studied in a three-wave-mixing system with a non-degenerate parametric amplification. A method of only retaining the Fock-state basis in the interference path is used to calculate the optimal analytic conditions of unconventional photon blockade. The numerical results agree well with the analytic conditions, which verifies the validity of this method. Our calculations indicate that the strong photon antibunching can be obtained in the high-frequency mode of the three-wave mixing. And the influence of system parameters on photon blockade is also discussed.
Abstract In this paper, the photon blockade effect in a three-wave mixing coupling system with a quantum dot has been studied. By using analytical calculation and numerical analysis, we find that both the conventional photon blockade and the unconventional photon blockade effects could be realized in this system in strong-coupling regime just by one driving. Besides, compared with Jaynes–Cummings model, this hybrid system shows other obvious advantages in realizing the photon blockade, like blockading photon of more different frequencies, stronger antibunching effect. All the results may provide useful theoretical references for the single-photon devices design by using quantum dot and three-wave mixing system in future experiments and applications.
Abstract We investigate conventional photon blockade in a non-degenerate four wave mixing system with Kerr non-linearity. By analyzing the Hamiltonian of the system, we have acquired the corresponding condition to implement photon anti-bunching effect. And we solve the master equation with the purpose of obtaining solutions numerically. We find that the analytic conditions could be consistent with numerical results, and photon blockade could be realized in this system. Furthermore, we discuss the effect of several parameters on the realization of conventional photon blockade in detail. The results show that four wave mixing interaction and Kerr non-linearity could significantly enhance the conventional photon blockade effect, whereas the dissipation rate has a negative effect on implementing photon blockade.
In this paper, the photon-pair blockade effect in a three-wave mixing system with Kerr nonlinearity has been studied. By analytical calculation and numerical analysis, we find that the conventional photon blockade and unconventional photon blockade of the photon pair could be realized simultaneously in the strong-coupling regime in this system, and the photon-pair blockade effect could be enhanced strongly by the combination of them. The combination could also lead to a much stronger photon-pair blockade effect in this hybrid system than in a three-wave mixing system, which may contribute to construction of single photon-pair sources with much higher purity without the loss of brightness. In addition, both the same-frequency and different-frequency photon-pair blockades could be realized in this scheme, which may contribute to construction of the same-frequency or different-frequency photon-pair sources or devices. All the results may provide useful theoretical references for the design of correlated photon-pair sources or devices in future experiments and applications.
Based on the four wave mixing, a three mode nonlinear system is proposed. The single photon blockade is discussed through analytical analysis and numerical calculation. The analytical analysis shows that the conventional photon blockade and unconventional photon blockade can be realized at the same time, and the analytical conditions of the two kinds of blockade are the same. The numerical results show that the system not only has the maximum average photon number in the blockade region, but also can have strong photon anti-bunching in the region with small nonlinear coupling coefficient, which greatly reduces the experimental difficulty of the system. This optical system which can realize the compound photon blockade effect is helpful to realize the high-purity single photon source.