Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Modern Optics

Photon antibunching in unconventional photon blockade with Kerr nonlinearities

Yue Yu, Hongyu Liu

Published Jan 31, 2017• 6 citations
Publisher

Abstract

The normalized second-order correlation function is calculated for a system of two coupled cavity modes with weak Kerr nonlinearity and the two cavity modes are driven simultaneously. The optimal conditions for strong photon antibunching (i.e. sub-Poisson photon number distribution) are found by analytic calculations, which coincide well with the numerical results. The change range of the parameters for strong antibunching is studied under the optimal conditions.

DOI
10.1080/09500340.2017.1285067

Related papers

Unconventional photon blockade with second-order nonlinearity

Y. H. Zhou, H. Z. Shen, X. X. Yi

The photon blockade based on weak nonlinearities is called the unconventional photon blockade. The study of the unconventional photon blockade in recent decades has mainly focused on the ${\ensuremath{\chi}}^{(3)}$ Kerr nonlinearity. In this paper, we study the photon blockade in two weakly coupled nonlinear cavities via ${\ensuremath{\chi}}^{(2)}$ nonlinearity, where ${\ensuremath{\chi}}^{(2)}$ mediates the conversion of a single photon in the cavity with high frequency into two photons with low frequency in another cavity. When the two cavity modes are driven simultaneously, our calculations show that the strong photon antibunching can be obtained in the cavity. The optimal condition for strong antibunching is found by analytic calculations and numerical simulations, and discussions of the optimal condition are presented. The differences between the present scheme and that with ${\ensuremath{\chi}}^{(3)}$ nonlinearity are discussed. This scheme is not sensitive to the change of decay rates, which makes the experimental realization easy.

Physical Review A•Aug 20, 2015•178 citations

Unconventional photon blockade in two coupled Kerr nonlinear cavities at resonance

Li-Yuan Xue, Yang Shao, Yan-Zhe Song +3 more

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.

International Journal of Quantum Information•Feb 19, 2026•0 citations

Quantum-interference-assisted photon blockade in a cavity via parametric interactions

Bijita Sarma, Amarendra K. Sarma

We propose a scheme to achieve a strong photon antibunching with a degenerate optical parametric amplifier coupled to a cavity via unconventional photon blockade. The photon blockade occurs as a result of the suppression of two-photon excitation due to a quantum interference effect between different transition paths. Via analytical calculations, we find out the conditions for optimized photon antibunching in terms of parametric gain and the parametric amplifier pump phase. Calculations of second-order correlation function demonstrate strong photon antibunching. The numerical results are compared with the analytical results and both are in complete agreement. Under the optimal parameters, the system can be used to generate sub-Poissonian light.

Physical Review A•Nov 13, 2017•88 citations

Unconventional photon blockade induced by the self-Kerr and cross-Kerr nonlinearities

Ling-Juan Feng, Yan Li, Shangqing Gong

We study the use of the self-Kerr and cross-Kerr nonlinearities to realize strong photon blockade in a weakly driven, four-mode optomechanical system. According to the Born—Oppenheimer approximation, we obtain the cavity self-Kerr coupling and the inter-cavity cross-Kerr coupling, adiabatically separated from the mechanical oscillator. Through minimizing the second-order correlation function, we find out the optimal parameter conditions for the unconventional photon blockade. Under the optimal conditions, the strong photon blockade can appear in the strong or weak nonlinearities.

Frontiers of Physics•Nov 5, 2022•16 citations

Exact optimal control of photon blockade with weakly nonlinear coupled cavities

H. Z. Shen, Y. H. Zhou, H. D. Liu +2 more

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.

Optics Express•Dec 11, 2015•59 citations

Unconventional photon blockade based on double second order nonlinear coupling system

Hongyu Lin, Xiaoqian Wang, Zhuo Yu +1 more

In the recent publications [Phys. Rev. A 92,023838 (2015)], the unconventional photon blockade are studied in a two-mode-second-order-nonlinear system with nonlinear coupling between the low frequency and high frequency modes. In this paper, we study the unconventional photon blockade in a three-mode system with weakly coupled nonlinear cavities via $χ^{(2)}$ nonlinearity. By solving the master equation in the steady-state limit and calculating the zero-delay time second-order correlation function, we obtain the conditions of strong photon antibunching in the low frequency mode. The numerical result are compared with the analytical results, the results show that they are in complete agreement. By the analysis of numerical solutions, we find that this scheme is not sensitive to the change of decay rates and the reservoir temperature, and the three-mode drives make the system have more adjustable parameters, both of which increases the possibility of experimental implementation.

arXiv:2001.05831•Jan 16, 2020•0 citations
The normalized second-order correlation function is calculated for a system of two coupled cavity modes with weak Kerr nonlinearity and the two cavity modes are driven simultaneously. The optimal conditions for strong photon antibunching (i.e. sub-Poisson photon number distribution) are found by analytic calculations, which coincide well with the numerical results. The change range of the parameters for strong antibunching is studied under the optimal conditions.
The photon blockade based on weak nonlinearities is called the unconventional photon blockade. The study of the unconventional photon blockade in recent decades has mainly focused on the ${\ensuremath{\chi}}^{(3)}$ Kerr nonlinearity. In this paper, we study the photon blockade in two weakly coupled nonlinear cavities via ${\ensuremath{\chi}}^{(2)}$ nonlinearity, where ${\ensuremath{\chi}}^{(2)}$ mediates the conversion of a single photon in the cavity with high frequency into two photons with low frequency in another cavity. When the two cavity modes are driven simultaneously, our calculations show that the strong photon antibunching can be obtained in the cavity. The optimal condition for strong antibunching is found by analytic calculations and numerical simulations, and discussions of the optimal condition are presented. The differences between the present scheme and that with ${\ensuremath{\chi}}^{(3)}$ nonlinearity are discussed. This scheme is not sensitive to the change of decay rates, which makes the experimental realization easy.
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.
We propose a scheme to achieve a strong photon antibunching with a degenerate optical parametric amplifier coupled to a cavity via unconventional photon blockade. The photon blockade occurs as a result of the suppression of two-photon excitation due to a quantum interference effect between different transition paths. Via analytical calculations, we find out the conditions for optimized photon antibunching in terms of parametric gain and the parametric amplifier pump phase. Calculations of second-order correlation function demonstrate strong photon antibunching. The numerical results are compared with the analytical results and both are in complete agreement. Under the optimal parameters, the system can be used to generate sub-Poissonian light.
We study the use of the self-Kerr and cross-Kerr nonlinearities to realize strong photon blockade in a weakly driven, four-mode optomechanical system. According to the Born—Oppenheimer approximation, we obtain the cavity self-Kerr coupling and the inter-cavity cross-Kerr coupling, adiabatically separated from the mechanical oscillator. Through minimizing the second-order correlation function, we find out the optimal parameter conditions for the unconventional photon blockade. Under the optimal conditions, the strong photon blockade can appear in the strong or weak 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.
In the recent publications [Phys. Rev. A 92,023838 (2015)], the unconventional photon blockade are studied in a two-mode-second-order-nonlinear system with nonlinear coupling between the low frequency and high frequency modes. In this paper, we study the unconventional photon blockade in a three-mode system with weakly coupled nonlinear cavities via χ(2)χ^{(2)}χ(2) nonlinearity. By solving the master equation in the steady-state limit and calculating the zero-delay time second-order correlation function, we obtain the conditions of strong photon antibunching in the low frequency mode. The numerical result are compared with the analytical results, the results show that they are in complete agreement. By the analysis of numerical solutions, we find that this scheme is not sensitive to the change of decay rates and the reservoir temperature, and the three-mode drives make the system have more adjustable parameters, both of which increases the possibility of experimental implementation.