We study the interaction between a quantum-dot and a bi-mode micro/nano-optical cavity composed of second-order nonlinear materials. Compared with the Jaynes-Cummings (J-C) model, except for a coherent weak driving field, a strong pump light illuminates the two-mode optical cavity. Analytical results indicate that the model exhibits abundant non-classical optical phenomena, such as conventional photon blockade induced by the nonlinear interaction between polaritons. It constitutes unconventional photon blockade induced by quantum interference due to parametric driving. We compare the photon statistical properties and average photon number of the proposed model, J-C model, and double-mode driven optical cavity under the same parameters and the proposed model can obtain stronger antibunching photons and higher average photon number.
I. INTRODUCTIONNonclassical light generation is an important objective in the fields of quantum optics, quantum information, and quantum computation [1][2][3][4][5]. Intensity fluctuation of the light field can be used to identify the quantumness of light, e.g., g (2) (0) ≥ 1 represents classical light, whereas g (2) (0) < 1 denotes nonclassical light. Photon blockade (PB) is considered an important mechanism to generate nonclassical light. When a coherent laser imprints on a nonlinear quantum optical cavity, a photon existing in the cavity may blockade other photons entering the cavity because of the strong interaction between photons[6]. In the limit of strong nonlinearity, the PB effect could be a good mechanism to generate single photons with perfect purity. The PB effect, which is based on strong nonlinearity, has been studied in many quantum systems, such as atom-cavity system[7], single quantum-dot cavity system[8, 9], χ (2) nonlinear doubly resonant nanocavity system[10], and opto-mechanical systems [11][12][13].Recently, researchers have found that a strong antibunching light can be obtained by the quantum interference of different driven-dissipative pathways in a quantum optics system [14]. Contrary to the strong linearity induced PB, weak nonlinearity helps realize the photon antibunching induced by quantum destructive interference. To differentiate the photon antibunching processes induced by different physical mechanisms, the antibunching induced by strong nonlinear interaction between photons is referred to as conventional photon blockade (CPB), whereas that by the quantum interference is termed unconventional photon blockade (UCPB). Since its proposition, many theoretical and experimental works have focused on UCPB in different systems, such as coupled nonlinear cavities[14], superconducting qubit microwave cavity [15] and opto-mechanical systems, two coupled nonlinear single-mode cavity system[16], and χ (2) nonlinear coupled or doubly-resonant cavity system [17,18].Currently, studies have found that the quantum interference phenomenon can be used to enhance the CPB, and consequently the purity of the generated single-photon [19]. In addition, we note that CPB and UCPB c...