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Scientific Reports

Emission of single photons in the weak coupling regime of the Jaynes Cummings model

Changsuk Noh

Published Sep 30, 2020• 9 citations
Publisher

Abstract

A recently proposed variant of an unconventional photon blockade scheme is studied for a single emitter weakly coupled to a resonator mode. By controlling two weak coherent fields driving the emitter and the resonator mode, a strongly nonclassical output field is obtained, which is not only antibunched, but has vanishing higher photon number coincidences. For a given set of system parameters, the frequencies and strengths of the driving fields that yield such an output are given.

DOI
10.1038/s41598-020-72945-0

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A recently proposed variant of an unconventional photon blockade scheme is studied for a single emitter weakly coupled to a resonator mode. By controlling two weak coherent fields driving the emitter and the resonator mode, a strongly nonclassical output field is obtained, which is not only antibunched, but has vanishing higher photon number coincidences. For a given set of system parameters, the frequencies and strengths of the driving fields that yield such an output are given.
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.
Herein, we propose a coupled Jaynes-Cummings model for the preparation of strong antibunched single photons and antibunched correlated photon pairs. Using the effective Hamiltonian method, we obtained the expression for the correlation function and then presented the optimal conditions for conventional/unconventional photon blockade. The results showed that on one hand, an intersection point exists between conventional photon blockade and unconventional photon blockade and that the performance of the single photon at the intersection point is better. On the other hand, under the condition of unconventional photon blockade, the photons produced by each Jaynes-Cummings system are strongly correlated with each other.
Universal photon blockade in a two-mode Jaynes-Cummings model incorporating third-order Kerr nonlinearity is demonstrated with a single two-level atom coupled to a waveguide microcavity. Realization of this universal photon blockade is attributed to the cooperative effects of field-atom coupling and Kerr nonlinearity. More importantly, this antibunching is found to be robust against the atomic spontaneous emission, driving field strength, and defect-induced cavity mode coupling. The strong antibunching effect in this resonance-driven scheme is essentially different from those without Kerr nonlinearity. Moreover, this work expands the platform for achieving universal photon blockade and reveals the cooperative advantages of nonlinearities in enhancing the purity and brightness of single-photon sources, representing a novel strategy toward high-performance single-photon sources in integrated quantum optical devices.
A two-level quantum emitter interacting with a cavity field is an important model for investigating the photon blockade (PB) effect. Most work on this topic relies on the assumption that the emitter transition frequency is resonant with the fundamental mode frequency of the cavity. In this work we relax this constraint and reexamine the PB effect in a more general emitter-cavity system with arbitrary emitter and cavity detunings from a driving field. The results show that when the signs of the emitter and cavity detunings are the same, a PB occurs only in the strong-coupling regime, but for opposite signs of the emitter and cavity detunings, strong photon antibunching is observed in both the weak- and strong-coupling regimes, and better antibunching is achieved compared with the case when the signs are the same. More interestingly, we find that this PB arises from quantum interference for both weak and strong nonlinearities. These results deepen our understanding of the underlying mechanism of PBs and may contribute to the construction of single-photon sources with higher purity and better flexibility using two-level emitter-cavity systems.
We investigate the photon blockade effect in a Jaynes-Cummings hybrid system with Kerr nonlinearity. Specifically, the hybrid system consists of a Jaynes-Cummings model nonlinearly coupled to two other optical modes. Our results, supported by both analytical calculations and numerical simulations, show that strong photon antibunching can occur in this system. Compared with a system without Kerr nonlinearity, the proposed system exhibits a stronger photon blockade effect due to the superposition of unconventional (quantum interference) and conventional (Kerr-induced anharmonicity) blockade mechanisms. Furthermore, we discuss the influences of Jaynes-Cummings coupling and driving strength on the photon blockade. Our findings may contribute to the design and application of single-photon source devices.
We explore a method for achieving photon blockade (PB) through a two-photon Jaynes-Cummings (JC) model that includes both cavity and atom drivings. Analytical expressions for the steady state are derived to calculate photon-number distribution and correlation functions. Based on this analysis, we establish the theoretical conditions required for generating PB by controlling both drivings and propose a scheme to identify conventional photon blockade (CPB) and unconventional photon blockade (UPB) by analyzing the second- and third-order correlation functions. We validate our findings through numerical simulations conducted in an artificial atom system. We discuss two cases, one in which the transition frequency of the two-level atom is in two-photon resonance with the cavity frequency and the other in which it is off-resonance. We observe a significant interplay between CPB and UPB effects in the resonant case. In the off-resonance case, we demonstrate that UPB can be achieved by manipulating the strengths of atom driving and cavity driving to satisfy a specific relationship while meeting the requirements for optimal detuning relations. This work provides essential insights into controlling the PB effect using the two-photon JC model with both the atom and cavity drivings.