Two-photon blockade in a cascaded cavity-quantum-electrodynamics system

Qian Bin, Xin-You Lü, Shang-Wu Bin, and Ying Wu

Phys. Rev. A 98, 043858 – Published 31 October 2018

Abstract

We investigate theoretically the model of a cavity-quantum-electrodynamics (QED) system that consists of two two-level atoms coupled to a single-mode cavity in the weak coupling regime, where the system is driven by quantum light. The dynamics behavior of the entire system is tackled in the framework of a cascaded quantum system. We find that the two-photon blockade with two-photon bunching and three-photon antibunching can be obtained even when the strong system dissipation is included. This result shows that our work has potential for realizing entangled photon pairs in a weakly coupled cavity. Moreover, we also analyze the photon statistics of the system in the case of out-of-resonance coupling between cavity and two nonidentical atoms. Here, an unconventional photon blockade effect with suppression of two-photon correlation and enhancement of three-photon correlation can be realized, which shows many quantum statistical characteristics of a cavity QED system in weak coupling.

Received 12 April 2018

DOI:https://doi.org/10.1103/PhysRevA.98.043858

Physics Subject Headings (PhySH)

Cavity quantum electrodynamics

Atomic, Molecular & Optical

Authors & Affiliations

Qian Bin, Xin-You Lü^*, Shang-Wu Bin, and Ying Wu^†

School of Physics, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China

^*xinyoulu@hust.edu.cn
^†yingwu2@126.com

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Issue

Vol. 98, Iss. 4 — October 2018

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Images

Figure 1
(a) Schematic of the studied system. The cavity QED system consisting of two two-level atoms weakly coupled to a single-mode cavity driven by the emission of a quantum source. Here, the quantum source is made of a two-level atom driven by the classical light field, where $f_{out}$ is the output channel of the source system. $a_{in}$ is the input channel of the target. (b) Schematic energy-level structure illustrating the occurrence of the two-photon blockade and unconventional PB annotated at the bottom. The black solid lines represent the energy levels with the optical-state truncation.
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Figure 2
Time evolution (in units of $2 π / γ_{s}$ ) of the cavity mean photon number $n_{a}$ obtained by calculating Eq. (3) (black solid line) and Eq. (6) (red dashed line) when $Δ_{C} / γ_{s} = 5$ . The system parameters used here are $ξ / γ_{s} = 1, g / γ_{s} = 1.25, κ / γ_{s} = 5, γ / γ_{s} = 0.375$ , and $Δ_{1} = Δ_{2} = Δ_{C}$ .
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Figure 3
The mean photon number $n_{a}$ (black dash-dotted curve), equal-time second-order photon correlation function $g^{(2)}$ (blue solid curve), and equal-time third-order photon correlation function $g^{(3)}$ (red dashed curve) of the output of cavity vs $Δ_{C}$ . Panels (a) and (b) correspond to the cavity QED system that consists of two atoms weakly connected to a single-mode cavity which is excited by quantum light and classical light, respectively; panels (c) and (d) correspond to the cavity QED system described by the Jaynes-Cummings model and empty cavity respectively, which are excited by the same quantum light. The system parameters used here are the same as in Fig. 2.
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Figure 4
Photon-number probabilities $P_{n}$ , truncation fidelity $F_{k}$ , and the ratio of two-photon state probability to one-photon state probability $R_{21}$ vs the cavity-field detuning $Δ_{C}$ . The system parameters used here are the same as in Fig. 2.
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Figure 5
The mean photon number $n_{a}$ (black dash-dotted curve), equal-time second-order photon correlation function $g^{(2)}$ (blue solid curve), and equal-time third-order photon correlation function $g^{(3)}$ (red dashed curve) of the cavity vs $Δ_{C}$ for (a) $g / γ_{s} = 1$ and (b) $g / γ_{s} = 2.5$ . (c) The equal-time second-order photon correlation function $g^{(2)}$ vs $g$ for $Δ_{C} = 0$ . The other system parameters used here are the same as in Fig. 2.
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Figure 6
The mean photon number $n_{a}$ (black dash-dotted curve), equal-time second-order photon correlation function $g^{(2)}$ (blue solid curve), and equal-time third-order photon correlation function $g^{(3)}$ (red dashed curve) of the cavity vs $Δ_{C}$ . The system parameters used here are the same as in Fig. 2 except for $g / γ_{s} = 0.9, Δ_{1} / γ_{s} = Δ_{C} / γ_{s} = 1.25$ . $Δ_{2} = Δ_{1}$ (a), $Δ_{2} / γ_{s} = Δ_{1} / γ_{s} = 1.25$ (b), and $Δ_{2} / γ_{s} = Δ_{1} / γ_{s} = 2.5$ (c).
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