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Physica Scripta

Reconfigurable resonant photon blockade via photon-pair exchange

Hongyu. Lin, Feng Gao, Jiacheng Chu, Xun Chen

Published Sep 7, 2026• 0 citations
Publisher

Abstract

Abstract Photon blockade in weakly nonlinear resonators is often limited by a trade-off among antibunching, resonant excitation, and tunability. We consider a driven two-mode bosonic system coupled by photon-pair exchange. The exchange interaction vanishes in the one-photon manifold but couples the target and auxiliary two-photon states. Destructive interference can therefore suppress the leading target two-photon amplitude without detuning the target mode. In the weak-drive limit, we derive the required drive-amplitude ratio and relative phase, together with the leading correction due to an auxiliary-mode Kerr shift. Steady-state master-equation calculations confirm the analytical condition and quantify the effects of finite drive, loss asymmetry, pair mismatch, residual nonlinearities, single-photon hopping, dephasing, phase fluctuations, and thermal occupation. Under the stated matched linewidth, coherent-drive, and nonlinear-resource convention, the resonant pair-exchange scheme yields a target single-photon population approximately 9.5 times that of an optimized canonical Kerr-UPB benchmark at g a ( 2 ) ( 0 ) ⩽ 10 − 2 . A normalized post-fabrication recovery test further shows that external-drive recalibration restores the interference minimum across the sampled uncertainty window. These results support photon-pair exchange as a controllable route to continuous-wave resonant antibunched emission.

DOI
10.1088/1402-4896/aea391

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Abstract Photon blockade in weakly nonlinear resonators is often limited by a trade-off among antibunching, resonant excitation, and tunability. We consider a driven two-mode bosonic system coupled by photon-pair exchange. The exchange interaction vanishes in the one-photon manifold but couples the target and auxiliary two-photon states. Destructive interference can therefore suppress the leading target two-photon amplitude without detuning the target mode. In the weak-drive limit, we derive the required drive-amplitude ratio and relative phase, together with the leading correction due to an auxiliary-mode Kerr shift. Steady-state master-equation calculations confirm the analytical condition and quantify the effects of finite drive, loss asymmetry, pair mismatch, residual nonlinearities, single-photon hopping, dephasing, phase fluctuations, and thermal occupation. Under the stated matched linewidth, coherent-drive, and nonlinear-resource convention, the resonant pair-exchange scheme yields a target single-photon population approximately 9.5 times that of an optimized canonical Kerr-UPB benchmark at g a ( 2 ) ( 0 ) ⩽ 10 − 2 . A normalized post-fabrication recovery test further shows that external-drive recalibration restores the interference minimum across the sampled uncertainty window. These results support photon-pair exchange as a controllable route to continuous-wave resonant antibunched emission.
The photon blockade is a key quantum-nonlinear effect in which the admission of a second photon to a resonator is inhibited, enabling on-demand single-photon emission. Its practical use is limited by the weak intrinsic nonlinearity of most optical platforms. We address this limitation in a coupled-cavity architecture by engineering two-photon dissipation as a control resource rather than a detrimental loss. Within a quantum-master-equation framework, we model single-photon loss, engineered two-photon decay, and pure dephasing, and analyze their joint impact on the steady-state statistics of the driven cavities. We track the zero-delay correlation, photon populations, and detuning/drive dependences under distinct driving schemes (both cavities driven vs. single-cavity drive with. The results show that adding two-photon dissipation (i) suppresses multiphoton occupation and strengthens antibunching, (ii) broadens the operating window in detuning and drive amplitude, and (iii) improves robustness against moderate dephasing and device imperfections. A mechanism analysis attributes these gains to interference between coherent second-order processes and dissipative selection that stabilizes the odd-photon manifold. The study yields design guidelines for realizing stable, cavity-based single-photon sources using dissipation engineering.
Photon blockade produces antibunched light, but a source also needs a defined output port, nonzero extractable flux, and experimentally accessible controls. We analyze an atom-assisted three-wave-mixing cavity where the driven target mode is monitored directly as the output. A two-level emitter and an auxiliary pair-exchange channel provide coherent paths to the same target-mode Fock states, with their interference controlled by η = (Ω/ F a ) e i Δ ϕ . In the weak-drive limit, canceling the target two-photon amplitude gives high-purity single-photon blockade (1PB), whereas canceling the target three-photon amplitude gives pair-enhanced two-photon blockade (2PB). Full Lindblad calculations yield g a (2) (0)∼10 −4 and P 1 /(1 − P 0 ) > 0.99 over R / κ a = 0.2–5. A representative 2PB point has g a (2) (0)=1.91, g a (3) (0)=1.26×10 −3 , and P n ≥3 / P 2 = 7.55 × 10 −8 . At fixed | η |, changing only the relative phase switches the output from a single-photon-dominated endpoint to a pair-enhanced 2PB endpoint within a few cavity lifetimes. The optimized states remain weakly populated, so the scheme favors purity and reconfigurability over high flux.
This study systematically investigates unconventional photon blockade in two coupled Kerr nonlinear cavities at resonance. By solving the master equation in the steady-state limit and calculating the equal-time second-order correlation function, the photon antibunching effect within the nonlinear regime is revealed. Through analytical derivations, four sets of optimal antibunching conditions are obtained and validated through numerical simulations, unveiling new characteristics of photon blockade. Furthermore, the influence of system parameters on photon blockade is discussed, providing valuable theoretical support for optimizing the design and implementation of single-photon sources.
In this paper, we show that photon blockade can be observed in a system with weak Kerr nonlinearities. The system consists of two spatially overlapping single-mode semiconductor cavities with tunable one- and two-photon tunneling. We find that both conventional and unconventional single-photon blockades are controllable by manipulating the phase in the hopping regardless of the weakness of nonlinearity. We refer to the photon blockade with weak nonlinearities as an unconventional photon blockade. The unconventional photon blockade effect originates from the destructive interference between different paths from the ground state to two-photon states. We analytically derive the exact optimal conditions for strong antibunching, which are in good agreement with those obtained by numerical simulations. The optimal parameters for photon blockade are derived. Based on these parameters, the semiconductor cavity systems can be used as a single-photon source in regimes of both weak and strong nonlinearities.
We propose a scheme of photon blockade in a system comprising of coupled cavities embedded in Kerr nonlinear material, where two cavities are driven and dissipated. We analytically derive the exact optimal conditions for strong photon antibunching, which are in good agreement with those obtained by numerical simulations. We find that conventional and unconventional photon blockades have controllable flexibilities by tuning the strength ratio and relative phase between two complex driving fields. Such unconventional photon-blockade effects are ascribed to the quantum interference effect to avoid two-photon excitation of the coupled cavities. We also discuss the statistical properties of the photons under given optimal conditions. Our results provide a promising platform for the coherent manipulation of photon blockade, which has potential applications for quantum information processing and quantum optical devices.
This work investigates photon blockade control in a hybrid quantum system containing a Kerr-nonlinear cavity coupled to an optical parametric amplifier (OPA). The dynamics are governed by a master equation derived from an effective Hamiltonian that includes cavity decay. To obtain analytical solutions, the system's quantum state is expanded in the Fock basis up to the two-photon level. Solving the steady-state Schrodinger equation yields probability amplitudes and the analytical conditions for optimal photon blockade. Results confirm that photon blockade is achievable with suitable parameters. Excellent agreement is found between the analytical solutions and numerical simulations for the steady-state, equal-time second-order correlation function, validating both the analytical method and the blockade effect. Numerically, the average intracavity photon number increases significantly under resonance, providing a theoretical pathway for enhancing single-photon source brightness. Furthermore, the driving phase is shown to regulate the optimal blockade region: it shifts the parabolic region within the two-dimensional parameter space of driving strength and OPA nonlinearity and can even reverse its opening direction. The influence of Kerr nonlinearity is also examined. Photon blockade remains robust across a wide range of Kerr strengths. Physical analysis attributes the effect to destructive quantum interference between two distinct excitation pathways that suppress two-photon states. While Kerr nonlinearity shifts the system's energy levels, it does not disrupt this interference mechanism, explaining the effect's stability over a broad parameter range.