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Physical Review A

Strongly correlated photons with quantum feedback in a cascaded nanoscale double-cavity system

Jiahua Li, Chunling Ding, Ying Wu

Published Oct 6, 2020• 3 citations
Publisher

Abstract

We characterize via the second-order correlation function the quantum correlations in the transmitted light in a two-cascaded-cavities system side-coupled to a common waveguide via bidirectional propagation. Adopting a full quantum master equation and standard input-output theory, we calculate the zero-time-delay second-order correlation function and identify clearly distinguished parameter regimes with the photon bunching and antibunching. Our numerical results clearly show that strong photon antibunching can be achieved in the cascaded double-cavity system without the need for extra modal-overlap-based coupling between the two cavities. Remarkably, this strong photon antibunching appears in the weak-coupling regime of cavity quantum electrodynamics. The photon antibunching properties can be manipulated by adjusting the propagation phase. In addition, we discuss the influences of the emitter-to-cavity coupling strength and the waveguide-to-cavity coupling rate on the photon antibunching. Also, the experimental feasibility of our proposal with the current photonic crystal technique is analyzed. This study offers an alternative way to generate the strongly antibunched photons, which may have applications in on-chip quantum information processing.

DOI
10.1103/physreva.102.043701

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A quantum emitter coupled to an optical bimodal cavity in the solid-state implementation has recently proven to be an excellent platform for coherent generation of nonclassical light on a chip. However, the impacts of the structural couplings between the photonic modes via different arrangements of optical cavity and waveguide are rarely considered. Here, we explore in detail the characteristics of the photon antibunching in bimodal cavity quantum electrodynamics (QED) via taking into account two different cavity-waveguide arrangements: (i) an inline geometry and (ii) a side-coupled geometry. In our scheme, both cavity modes are simultaneously coupled to a two-level emitter but are not directly coupled to each other, owing to their orthogonal polarizations. It is clearly shown that the quality of the photon antibunching in the bimodal cavity QED, namely, the smallness of the second-order intensity correlation function at zero time, is closely related to the cavity-waveguide arrangements. The optimal photon antibunching can be achieved in the side-coupled geometry and the antibunching quality is about two orders of magnitude lower than that in the inline geometry. This enhancement of the photon antibunching is ascribed to the combination of two kinds of quantum interference effects in the waveguide-cavity QED system. We also find that the side-coupled architecture can make the device robust against the frequency mismatch between the two cavity modes, as compared to the inline geometry. In addition, we find that this mismatch can be used to generate better antibunching. The realization of our proposal with existing cavity-waveguide QED architectures is also discussed.1 MoreReceived 15 September 2018DOI:https://doi.org/10.1103/PhysRevA.98.053801©2018 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasCavity quantum electrodynamicsQuantum description of light-matter interactionQuantum interference effectsTechniquesCavity resonatorsAtomic, Molecular & Optical

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We characterize via the second-order correlation function the quantum correlations in the transmitted light in a two-cascaded-cavities system side-coupled to a common waveguide via bidirectional propagation. Adopting a full quantum master equation and standard input-output theory, we calculate the zero-time-delay second-order correlation function and identify clearly distinguished parameter regimes with the photon bunching and antibunching. Our numerical results clearly show that strong photon antibunching can be achieved in the cascaded double-cavity system without the need for extra modal-overlap-based coupling between the two cavities. Remarkably, this strong photon antibunching appears in the weak-coupling regime of cavity quantum electrodynamics. The photon antibunching properties can be manipulated by adjusting the propagation phase. In addition, we discuss the influences of the emitter-to-cavity coupling strength and the waveguide-to-cavity coupling rate on the photon antibunching. Also, the experimental feasibility of our proposal with the current photonic crystal technique is analyzed. This study offers an alternative way to generate the strongly antibunched photons, which may have applications in on-chip quantum information processing.
We use the quantum theory of cascaded open systems to calculate the transmitted photon flux for a weak beam of photons from a cavity QED laser strongly focused onto a single, resonant two-state atom in the narrow-bandwidth limit. We study the dependence of the transmitted flux on the quantum statistics of the incident light. Both bunched and antibunched light generated by the microlaser are considered as input. Working within and outside the semiclassical perturbative regime, we explicitly demonstrate that the normalized transmitted photon flux may coincide with the second-order correlation function of the incident bunched light, but not for incident antibunched light both of which are generated by a cavity QED laser. Interestingly, the thresholdless cavity QED laser is ideal for investigating statistical saturation effects by virtue of its small system size and the large quantum fluctuations accompanying it. It has the advantage of characterizing to a certain extent the quantum noise responsible for the statistical saturation. One can also easily vary the degree of antibunching of the incident light by manipulating the pumping rate of the laser.
By solving the master equation in the steady-state limit and calculating the zero-delay-time second-order correlation function, a strong photon antibunching is found in two coupled cavities with weak nonlinearity χ(2). An optimal antibunching condition is derived that is complementary to the result in a recent publication [Phys. Rev. A89, 031803(R) (2014)]. Numerical simulations confirm the optimal condition. These results are extended from the case with a single drive to the case with two drives. We find that the parameter added to the system due to the second drive can lift the restriction on the detuning for the antibunching to occur. This may open a new door towards the application of the antibunching into single photon sources.
We investigate numerically the architecture dependence of the characteristics of antibunched photons generated in cavity quantum electrodynamic systems. We show that the quality of antibunching [the smallness of the second-order intensity correlation function at zero time g(2)(0){g}^{(2)}(0)g(2)(0)] and the generation efficiency significantly depend on the configurations: the arrangements of single-mode optical cavities and waveguides. We found that for certain class of architecture, when the Jaynes-Cummings system (the atom-cavity system) couples to two terminated waveguides, there exists a fundamental tradeoff between high transmission and low g(2)(0){g}^{(2)}(0)g(2)(0), and is sensitive to dissipation. We further show that optimal antibunching can be achieved in two alternative cavity quantum electrodynamic configurations operating in the dissipatively weak coupling regime such that the two-photon transmission can be two orders of magnitude higher for the same g(2)(0){g}^{(2)}(0)g(2)(0).
We present an all-fiber emitter-cavity quantum electrodynamics (QED) scheme which makes it possible to realize the strong photon blockade phenomenon in the strong coupling regime. To begin with, we study the emitter-cavity system where the two-level emitter and cavity are driven by a laser field under different driving strengths, respectively. Then, we theoretically derive that through driving the single-mode nanofiber cavity and a single two-level emitter simultaneously with two classical fields, the photon antibunching effect and the intracavity mean photon number will be tremendously enhanced. Compared with the systems driving an emitter or the cavity, respectively, the second-order correlation function at zero time decay g(2)(0){g}^{(2)}(0)g(2)(0) in our system can reach the minimum value as 0.0003, which is much smaller than a single-emitter-cavity QED system of emitter drive or cavity drive. In particular, under the condition of quantum interference model, the strong phenomenon of photon antibunching can be flexibly reached by controlling of the intensity relationship between the dual-pumping fields in the strong coupling regime. Our proposal can be achieved in the near future and has great potential applications in high-quality single-photon sources and quantum communication processing.
We theoretically investigate the photon statistics in a cavity quantum electrodynamics system of a single quantum dot coupled to a bimodal nanocavity. It is shown in a recent work [A. Majumdar, M. Bajcsy, A. Rundquist, and J. Vu\ifmmode \check{c}\else \v{c}\fi{}kovi\ifmmode \acute{c}\else \'{c}\fi{}, Phys. Rev. Lett. 108, 183601 (2012)] that the system can generate strongly sub-Poissonian light when one of the cavity modes is driven coherently and resonantly. We study the two-mode coherent driving regime of the coupled system. The effect of additional cavity mode driving on statistical characteristics of photon emission is presented by evaluating the zero-delay second-order correlation function g2{g}^{2}g2(0). The antibunching character can be optimized by regulating the ratio between driving strengths of two cavity modes to achieve optimal combination of superbunched and coherent light. As a result g2{g}^{2}g2(0) can be reduced up to several orders of magnitude [g2{g}^{2}g2(0)$\phantom{\rule{0.16em}{0ex}}\ensuremath{\sim}\phantom{\rule{0.16em}{0ex}}101010{}^{\ensuremath{-}7}]withpropersystemparameters,comparedwiththeone−modedrivingsystem[] with proper system parameters, compared with the one-mode driving system []withpropersystemparameters,comparedwiththeone−modedrivingsystem[{g}^{2}(0)(0)(0)\phantom{\rule{0.16em}{0ex}}\ensuremath{\sim}\phantom{\rule{0.16em}{0ex}}$0.1].
A quantum emitter coupled to an optical bimodal cavity in the solid-state implementation has recently proven to be an excellent platform for coherent generation of nonclassical light on a chip. However, the impacts of the structural couplings between the photonic modes via different arrangements of optical cavity and waveguide are rarely considered. Here, we explore in detail the characteristics of the photon antibunching in bimodal cavity quantum electrodynamics (QED) via taking into account two different cavity-waveguide arrangements: (i) an inline geometry and (ii) a side-coupled geometry. In our scheme, both cavity modes are simultaneously coupled to a two-level emitter but are not directly coupled to each other, owing to their orthogonal polarizations. It is clearly shown that the quality of the photon antibunching in the bimodal cavity QED, namely, the smallness of the second-order intensity correlation function at zero time, is closely related to the cavity-waveguide arrangements. The optimal photon antibunching can be achieved in the side-coupled geometry and the antibunching quality is about two orders of magnitude lower than that in the inline geometry. This enhancement of the photon antibunching is ascribed to the combination of two kinds of quantum interference effects in the waveguide-cavity QED system. We also find that the side-coupled architecture can make the device robust against the frequency mismatch between the two cavity modes, as compared to the inline geometry. In addition, we find that this mismatch can be used to generate better antibunching. The realization of our proposal with existing cavity-waveguide QED architectures is also discussed.1 MoreReceived 15 September 2018DOI:https://doi.org/10.1103/PhysRevA.98.053801©2018 American Physical SocietyPhysics Subject Headings (PhySH)Research AreasCavity quantum electrodynamicsQuantum description of light-matter interactionQuantum interference effectsTechniquesCavity resonatorsAtomic, Molecular & Optical