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Physica Scripta

Unconventional photon blockade via two-photon absorption

Y. H. Zhou, Tong Liu, X. Y. Zhang, Qi‐Cheng Wu, Zhi‐Cheng Shi, Chui‐Ping Yang

Published Aug 5, 2024• 8 citations
Publisher

Abstract

Abstract The unconventional photon blockade, which relies on the physical mechanism of quantum interference, is primarily investigated using a general master equation, where a weak nonlinearity must be presented in the system to achieve photon antibunching. In this study, we explore the unconventional photon blockade using an alternative master equation known as the two-photon absorption master equation, which is derived from the system and environment interaction via two-photon absorption. Specifically, we find that the unconventional photon blockade can be triggered in two-coupled cavities, where each cavity interacts with a two-photon absorption environment. Different from unconventional photon blockade via the general master equation, we show that the two-photon absorption acts as the weak nonlinearity, and this photon blockade corresponds to a large average photon number. To derive optimal conditions for achieving this blockade, we propose a non-Hermitian Hamiltonian method to describe the mode loss caused by the two-photon absorption. In addition, we highlight the distinctions between our proposal and other approaches for generating single-photon states based on two-photon absorption.

DOI
10.1088/1402-4896/ad6b56

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Abstract The unconventional photon blockade, which relies on the physical mechanism of quantum interference, is primarily investigated using a general master equation, where a weak nonlinearity must be presented in the system to achieve photon antibunching. In this study, we explore the unconventional photon blockade using an alternative master equation known as the two-photon absorption master equation, which is derived from the system and environment interaction via two-photon absorption. Specifically, we find that the unconventional photon blockade can be triggered in two-coupled cavities, where each cavity interacts with a two-photon absorption environment. Different from unconventional photon blockade via the general master equation, we show that the two-photon absorption acts as the weak nonlinearity, and this photon blockade corresponds to a large average photon number. To derive optimal conditions for achieving this blockade, we propose a non-Hermitian Hamiltonian method to describe the mode loss caused by the two-photon absorption. In addition, we highlight the distinctions between our proposal and other approaches for generating single-photon states based on two-photon absorption.
We propose that photon blockade can be enabled by a two-photon absorption environment. The validity of this conclusion is confirmed by studying the blockade in a driven single-mode cavity. The feature of this environmentally induced photon blockade is that the nonlinear interaction in the system is not needed, which is entirely different from the conventional and the unconventional blockade mechanisms. We clearly give the physics behind this blockade mechanism. And the advantages of this environmentally induced photon blockade are discovered by comparing it with the conventional mechanism in a weakly driven region. In addition, we show that the proposal can be generalized straightforwardly to realize environmentally induced photon blockade in two coupled single-mode cavities.
The photon blockade based on weak nonlinearities is called unconventional photon blockade. The studies of the unconventional photon blockade in recent decades are all limited to Markovian approximation. In this paper, we propose a scheme to achieve a strong photon antibunching in non-Markovian reservoir. An exact non-Markovian master equation for the optical cavity coupled with a degenerate optical parametric amplifier (DOPA) is derived. We show that this unconventional photon blockade originates from the destructive interference between two paths which are formed by the DOPA pump and a driving field. Unconventional single-photon blockades that exhibit a transition from the non-Markovian to Markovian regime by controlling environmental spectral width regardless of the weakness of DOPA gain and driving field are found. We analytically derive an optimal condition for strong antibunching, which is in good agreement with that obtained by the full numerical simulation. The presented results then are compared with that given by Markovian approximation in the weak-coupling limit. Our scheme might have paved an avenue towards the investigations of unconventional photon blockades in many other non-Markovian quantum systems in quantum optics.
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.
Abstract We have investigated the unconventional photon blockade (UPB) in a hybrid system consisting of a Jaynes–Cummings model nonlinearly coupled with two other modes via a three-wave mixing interaction, operating in the weak coupling regime (compared with the decay rates of the system). We present both analytical and numerical results, obtained by solving the Schrödinger equation and the quantum master equation, respectively. The results show that the numerical simulations agree well with the analytical predictions and that the UPB effect would occur in this hybrid system both in the cavity-driven and atom-driven conditions. Under both driving conditions, the hybrid system could exhibit superior performance over the Jaynes–Cummings model under the same driving condition, i.e. achieve a stronger photon blockade effect. The influences of driving strength and coupling coefficient on photon blockade effect have also been discussed. Our finding may have potential applications in single-photon sources design.
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.