Enhancement of continuous-variable hyperentanglement by optimizing pump mode

Juan Li; Jia-Ming Li; Chun-Xiao Cai; Heng-Xin Sun; Kui Liu; Jiang-Rui Gao

doi:10.7498/aps.68.20181625

Journals >Acta Physica Sinica >Volume 68 >Issue 3 >Page 034204-1 > Article

Acta Physica Sinica
Vol. 68, Issue 3, 034204-1 (2019)

Enhancement of continuous-variable hyperentanglement by optimizing pump mode

Juan Li, Jia-Ming Li, Chun-Xiao Cai, Heng-Xin Sun, Kui Liu^*, and Jiang-Rui Gao

DOI: 10.7498/aps.68.20181625 Cite this Article

Juan Li, Jia-Ming Li, Chun-Xiao Cai, Heng-Xin Sun, Kui Liu, Jiang-Rui Gao. Enhancement of continuous-variable hyperentanglement by optimizing pump mode[J]. Acta Physica Sinica, 2019, 68(3): 034204-1 Copy Citation Text

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Theoretical inseparability against normalized pump power for three pump modes, (green solid line), (red solid line) and the optimal pump mode (blue solid line) under ideal conditions. The parameters are , .抽运模式分别为模(绿色)、模(红色)以及最佳抽运模式模(蓝色)三种情况下, 纠缠不可分度随归一化抽运功率变化的理论曲线(所取参数为, )

Fig. 1. Theoretical inseparability against normalized pump power for three pump modes, (green solid line), (red solid line) and the optimal pump mode (blue solid line) under ideal conditions. The parameters are , . 抽运模式分别为模(绿色)、模(红色)以及最佳抽运模式模(蓝色)三种情况下, 纠缠不可分度随归一化抽运功率变化的理论曲线(所取参数为 , )

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Experimental setup. RC, three-mirror ring cavity; DBS, dichroic beamsplitter; HWP, half wave plate; PBS, polarizing beamsplitter; PZT, piezoelectric transducer; DP, Dove Prism; MC, mode converter; FQ-PM, four-quadrant phase mask; KTP, KTiOPO4 crystal; MC, mode converter; SA, spectrum analyzer; BHD, balanced homodyne detector.实验装置图, 其中, RC, 三镜环形腔; DBS, 双色分束器; HWP, 半波片; PBS, 偏振分束器; PZT, 压电陶瓷; DP, 道威棱镜; MC, 模式转换器; FQ-PM, 四象限相位片; KTP, KTiOPO4晶体; MC, 模式转换器; SA, 频谱分析仪; BHD, 平衡零拍测量装置

Fig. 2. Experimental setup. RC, three-mirror ring cavity; DBS, dichroic beamsplitter; HWP, half wave plate; PBS, polarizing beamsplitter; PZT, piezoelectric transducer; DP, Dove Prism; MC, mode converter; FQ-PM, four-quadrant phase mask; KTP, KTiOPO₄ crystal; MC, mode converter; SA, spectrum analyzer; BHD, balanced homodyne detector. 实验装置图, 其中, RC, 三镜环形腔; DBS, 双色分束器; HWP, 半波片; PBS, 偏振分束器; PZT, 压电陶瓷; DP, 道威棱镜; MC, 模式转换器; FQ-PM, 四象限相位片; KTP, KTiOPO₄晶体; MC, 模式转换器; SA, 频谱分析仪; BHD, 平衡零拍测量装置

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Fig. 3. Measured quantum correlations using the mode: (a1) Amplitude correlation noise of modes; (a2) phase correlation noise of modes; (b1) amplitude correlation noise of modes; (b2) phase correlation noise of modes. (a1) and (b1) Trace1 (red line), ; Trace3 (blue line), . (a2) and (b2) Trace1 (red line), ; Trace3 (blue line), . Trace2 (black line), SNL. 模做抽运场的纠缠测量结果　(a1) 模的振幅关联噪声谱; (a2) 模的相位关联噪声谱; (b1) 模的振幅关联噪声谱; (b2) 模的相位关联噪声谱; 黑线(2), SNL; 图(a1)和(b1)中, 红线(1), ; 蓝线(3), ; 图(a2)和(b2)中, 红线(1), ; 蓝线(3),

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Fig. 4. Measured quantum correlations with pumping : (a1) Amplitude correlation noise of modes; (a2) phase correlation noise of modes; (b1) amplitude correlation noise of modes; (b2) phase correlation noise of modes. (a1) and (b1) Trace1 (red line), ; Trace3 (blue line), . (a2) and (b2) Trace1 (red line), ; Trace3 (blue line), . Trace2 (black line), SNL. 模做抽运场纠缠测量结果　(a1) 模的振幅关联噪声谱; (a2) 模的相位关联噪声谱; (b1) 模的振幅关联噪声谱; (b2) 模的相位关联噪声谱; 黑线(2), SNL; 图(a1)和(b1)中, 红线(1), ; 蓝线(3), ; 图(a2)和(b2)中, 红线(1), ; 蓝线(3),

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Fig. 5. Experimental measurement of inseparability for the orbital angular momentum and spin angular momentum with different pump mode: (a) Orbital angular momentum; (b) spin angular momentum. Blue line (1) and red line (2) respectively represent the results using the mode and mode. Values below 2 indicate entanglement. 不同抽运模式下, 轨道角动量纠缠和自旋角动量纠缠的不可分度　(a)轨道角动量纠缠; (b)自旋角动量纠缠; 蓝线(1)和红线(2)分别对应模和模做抽运的结果; 不可分度低于2表示存在纠缠

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	抽运模式
	${\rm{LG}}_0^0$	${\rm{LG}}_1^0$	${\rm{LG}}_2^0$	…	${1 / 3}{\rm{LG}}_0^0 + {2 / 3}{\rm{LG}}_1^0$
耦合系数 ${\varGamma _{{\rm{0}}p}}$	${1 / 2}$	${1 / {\sqrt 2 }}$	0	0	${{\sqrt 3 } / 2}$

Table 1. Coupling coefficient with different pump modes.

Juan Li, Jia-Ming Li, Chun-Xiao Cai, Heng-Xin Sun, Kui Liu, Jiang-Rui Gao. Enhancement of continuous-variable hyperentanglement by optimizing pump mode[J]. Acta Physica Sinica, 2019, 68(3): 034204-1

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