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By combining analytical solutions and numerical simulations, we investigate the control mechanism of photon blockade effects in a hybrid quantum system consisting of a Kerr-medium single-mode cavity coupled with an Optical Parametric Amplifier (OPA).
To study photon blockade in the system, the dynamics are described by a master equation derived from the effective Hamiltonian, accounting for single-mode cavity decay. To obtain analytical solutions for optimal photon blockade conditions, the quantum state of the system is expanded in the Fock state basis up to the two-photon level, and the steady-state probability amplitudes are derived by solving the Schrödinger equation. This yields analytical expressions for the optimal photon blockade regime. The results demonstrate that photon blockade can be achieved in the system under appropriate parameters. Comparative analysis shows excellent agreement between the analytical results and numerical simulations of the equal-time second-order correlation function, validating both the correctness of the analytical solutions and the effectiveness of photon blockade in the system.
Numerical results demonstrate a significant enhancement in the average photon number under resonant conditions, providing theoretical support for optimizing singlephoton source brightness, which is essential for achieving high-brightness singlephoton sources.
Furthermore, variations in the driving phase can induce displacement of the optimal photon blockade region in the two-dimensional parameter space of driving strength and OPA nonlinear coefficient, and even reverse the opening direction of the parabolic-shaped optimal blockade region. Both numerical and theoretical results confirm the regulatory effect of the driving phase on photon blockade.
Additionally, the influence of Kerr nonlinearity is examined. Results show that photon blockade persists robustly across a broad range of Kerr nonlinear strengths, exhibiting universal characteristics.
Physical mechanism analysis indicates that the photon blockade effect originates from destructive quantum interference between two photon transition pathways in the system under specific parameters, effectively suppressing two-photon excitation. Although Kerr nonlinearity modulates the system's energy levels, it does not affect the quantum interference pathways, enabling the photon blockade effect to remain stable across a wide parameter range. -
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