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Optics Express

Universal photon blockades via parametric amplification in second-order nonlinearly coupled cavities

Guo-Hua Lv, Rui Hou, Y. H. Zhou, Xue Yan Han, Hong‐Fu Wang, Shou Zhang

Published Dec 15, 2025• 4 citations
Publisher

Abstract

Photon blockade (PB) is generally classified into conventional and unconventional types based on their distinct physical mechanisms. Recent studies have aimed to bridge the two regimes to realize a universal photon blockade (universal PB) that combines their respective advantages. Here, we propose a scheme for achieving universal PB based on second-order nonlinearity. The second-order nonlinear coupling between two cavity modes mediates the fundamental interaction, while an optical parametric amplifier embedded in one cavity introduces additional quantum interference pathways. We analytically derive the optimal conditions for universal PB, and the analytical results show excellent agreement with numerical simulations. By comparing universal PB with conventional PB, we highlight its unique performance advantages: the scheme operates effectively in both strong and weak coupling regimes, relaxes experimental constraints, and achieves an ultra-low equal-time second-order correlation function g (2) (0) down to 10 −7 , while maintaining a moderate mean photon number N a ∼ 10 −2 . This work provides a feasible and tunable platform for realizing high-purity single-photon sources and exploring quantum statistical properties in nonlinear cavity systems.

DOI
10.1364/oe.582699

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Photon blockade (PB) is generally classified into conventional and unconventional types based on their distinct physical mechanisms. Recent studies have aimed to bridge the two regimes to realize a universal photon blockade (universal PB) that combines their respective advantages. Here, we propose a scheme for achieving universal PB based on second-order nonlinearity. The second-order nonlinear coupling between two cavity modes mediates the fundamental interaction, while an optical parametric amplifier embedded in one cavity introduces additional quantum interference pathways. We analytically derive the optimal conditions for universal PB, and the analytical results show excellent agreement with numerical simulations. By comparing universal PB with conventional PB, we highlight its unique performance advantages: the scheme operates effectively in both strong and weak coupling regimes, relaxes experimental constraints, and achieves an ultra-low equal-time second-order correlation function g (2) (0) down to 10 −7 , while maintaining a moderate mean photon number N a ∼ 10 −2 . This work provides a feasible and tunable platform for realizing high-purity single-photon sources and exploring quantum statistical properties in nonlinear cavity systems.
Abstract Quantum information processing, a key component of quantum information science, has attracted considerable attention. Its realization requires physical platforms and resources, among which optical systems and single-photon sources based on photon blockade (PB) have been widely employed. Here we investigate PB behaviors in a coupled optical cavity system driven by both single- and two-photon fields. The optimal conditions for PB are obtained with respect to the two-photon driving strength and cavity-laser detuning via analytical calculations. Using these optimal solutions, we show that a significant PB effect is achievable even with weak Kerr nonlinearity, and confirm that this behavior corresponds to unconventional PB (UPB) through a comparison of the second- and third-order correlation functions. Furthermore, our analysis reveals that UPB can be enhanced by two-photon dissipation. These results provide theoretical strategies for enhancing UPB, and offer insight into its fundamental mechanism.
Photon blockades are traditionally classified into conventional and unconventional types, depending on distinct physical mechanisms. Regarding the cavity decay rate κ, the conventional photon blockade takes place under strong nonlinearity condition (g>κ), whereas the unconventional photon blockade occurs in the regime of weak nonlinearity (g<κ). We here propose how to derive an optimal condition for photon blockade utilizing a two-photon Jaynes-Cummings model. Under this condition, the equal-time second-order correlation function reaches its minimum, leading to photon antibunching in both conventional and unconventional photon blockade regimes (g>κ and g<κ), even in g∼κ. This characteristic is termed universal photon blockade. By comparing it with the conventional and the unconventional photon blockades in the weak-driving limit, the advantages of universal photon blockade are revealed. Our proposal paves an avenue towards the future study of photon blockades and has potential applications in generating antibunched photons.
Photon blockade (PB) is a quantum effect in strongly nonlinear systems where a single photon prevents the system from being excited to a higher level, generating anti-bunched light fields. It enables the generation of single-photon sources for quantum information processing. Conventional photon blockade (CPB) leverages strong nonlinear interactions to generate an anharmonic energy spectrum. Unconventional photon blockade (UPB) utilizes destructive quantum interference between excitation pathways. Recently, environmentally induced photon blockade (EPB) has emerged as a novel approach, exploiting two-photon absorption (TPA) to realize photon blockade. In this work, we combine UPB and EPB together, considering the TPA effect in the optical parametric amplifier (OPA), thereby achieving a more stable PB with stronger suppression of multi-photon states.
Abstract Unconventional photon blockade (UPB) is an important quantum phenomenon that relies on the quantum interference effect. Here, we propose coupling an optical parametric amplifier (OPA) to a Kerr nonlinear single-mode cavity in a two-photon dissipation environment, enabling strong photon antibunching based on the UPB mechanism. The optimal conditions for achieving UPB are first derived analytically. The results are subsequently compared with the second-order correlation function derived from numerical simulations, and excellent agreement is observed. The findings show that UPB is enhanced without significantly reducing the mean photon number. This further demonstrates that the width of the UPB occurrence window increases with increasing OPA coefficient and driving laser intensity. Finally, theoretical analysis reveals the physical mechanism of UPB, showing that the Kerr medium is not the dominant factor for UPB generation in this system. Thus, our work offers valuable theoretical guidance for precisely controlling UPB and optimizing single-photon source performance.
We theoretically investigate the quantum-interference-induced photon blockade effect in a single two-level atom-cavity quantum electrodynamics (QED) system with degenerate parametric amplification. The analytical calculations reveal the optimal parametric gain and phase parameters for achieving optimum unconventional photon blockade conditions. Under the optimal parameter regime, the numerical results of the second-order correlation function demonstrate strong photon antibunching consistent with the analytical results. Furthermore, the numerical results corroborate that coherently driving the atom leads to a stronger photon blockade than a coherently driven cavity with the optimal parameters. We numerically demonstrate that the UPB effect is compromised by a non-zero cavity-atom coupling in the cavity-driven configuration. However, stronger photon antibunching can be attained with a non-zero cavity-atom coupling in the atom-driven configuration. This work may be suitable for experimentally realising a strongly antibunched single-photon source for applications in quantum technology.
We propose a hybrid cavity-magnon system scheme that integrates a yttrium iron garnet sphere with a microwave cavity filled with Kerr medium, aiming to achieve both conventional and unconventional photon blockade simultaneously. Our research demonstrates that by tuning the strength of the Kerr nonlinearity and adjusting the two-photon driving intensity, we can realize quantum effects associated with both types of photon blockade. Furthermore, through careful selection of system parameters, we have obtained optimal results for photon blockade under ideal conditions. This scheme fully exploits the advantages offered by both conventional and unconventional photon blockade mechanisms, effectively reducing the equal-time second-order photon correlation function while also achieving a higher mean photon number. It provides an alternative and experimentally feasible platform for preparing single-photon sources characterized by enhanced purity and brightness.