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The intensity-difference squeezed state is an important concept in quantum optics, which is not only of great significance for fundamental research in quantum physics, but also an important quantum resource in the fields of quantum communication, quantum computing, and quantum precision measurement. The optical parametric amplifier based on atomic four-wave mixing is one of the most effective means to achieve intensity-difference squeezed light. However, due to the absorption loss of atomic vapor in the light field, the output squeezing still needs improving. By feeding the non-classical optical field from the optical parametric amplifier back to the input port, the quantum characteristics of its output optical field can be enhanced. However, the intensity-difference squeezing enhancement from a phase-insensitive amplifier is experimentally realized based on coherent feedback control. The intensity-difference squeezing enhancement of the phase-sensitive amplifier has not been discussed. In this work, a two-port coherent feedback-controlled phase-sensitive amplifier is analyzed theoretically. The dependence of the intensity-difference squeezing, respectively, on the feedback intensity, the intensity gain of the optical parametric amplifier, and the losses of the system are investigated. For the ideal case in which the losses of the system are ignored, infinite squeezing can be achieved by adjusting the strength and phase of feedback. Considering the actual atomic absorption losses, squeezing enhancement can also be achieved over a wide range of intensity gains within a certain feedback intensity range. In addition, the squeezing enhancement is quite efficient for the medium intensity gain range. The intensity-difference squeezing enhancement strongly depends on the absorption loss of atomic vapor. The smaller the absorption loss, the more significant the squeezing enhancement effect is. Furthermore, the experimental feasibility of this scheme is also considered in detail. Our research can provide useful references for achieving high-quality non classical light fields in experiment, which may find applications in quantum information processing and quantum precise measurement.
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Keywords:
- optical parametric amplifiers /
- squeezed light field /
- coherent feedback control /
- squeezing enhancement
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图 1 (a)基于85Rb原子D1谱线的双-Λ能级结构; (b)相干反馈的相敏放大器理论模型
Figure 1. (a) Double-Λ energy level diagram of 85Rb D1 transition line; (b) schematic of the coherent feedback-controlled phase-sensitive amplifier.
图 2 理想情况下强度差压缩随分束器反射率k的变化曲线. IDS为强度差压缩; PSA为相敏放大器; CFC-PSA为相干反馈控制的相位灵敏放大器
Figure 2. Curve of intensity-difference squeezing versus reflectivity k of the beam splitter under the ideal condition. IDS represents intensity-difference squeezing; PSA represents phase-sensitive amplifier; CFC-PSA represents coherent feedback-controlled phase-sensitive amplifier.
图 3 实际实验参数情况下强度差压缩随分束器反射率k的变化曲线
Figure 3. Curve of intensity-difference squeezing versus reflectivity k of the beam splitter under the practical experimental parameters.
图 4 实际实验参数情况下强度差压缩随强度增益G的变化曲线
Figure 4. Curve of intensity-difference squeezing versus intensity gain G under the practical experimental parameters.
图 5 实际实验参数情况下强度差压缩随铷池内部传输效率η1的变化曲线
Figure 5. Curve of intensity-difference squeezing versus the internal transmission efficiency of rubidium cells under the practical experimental parameters.
图 6 相干反馈的相敏放大器实验系统设计
Figure 6. Experimental system design on coherent feedback controlled PSA.
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[1] Slusher R E, Hollberg L W, Yurke B, Mertz J C, Valley J F 1985 Phys. Rev. Lett. 55 2409
Google Scholar
[2] Wu L A, Kimble H J, Hall J L, Wu H F 1986 Phys. Rev. Lett. 57 2520
Google Scholar
[3] Marino M, Pooser R C, Boyer V, Lett P D 2009 Nature 457 859
Google Scholar
[4] Wu S H, Bao G Z, Guo J X, Chen J, Du W, Shi M W, Yang P Y, Chen L Q, Zhang W P 2023 Sci. Adv. 9 1760
Google Scholar
[5] Liu S S, Lou Y B, Chen Y X, Jing J T 2022 Phys. Rev. Lett. 128 060503
Google Scholar
[6] Wang D, Zhang Y, Xiao M 2013 Phys. Rev. A 87 023834
Google Scholar
[7] 韩亚帅, 张啸, 张昭, 屈军, 王军民 2022 物理学报 71 074202
Google Scholar
Han Y S, Zhang X, Zhang Z, Qu J, Wang J M 2022 Acta Phys. Sin. 71 074202
Google Scholar
[8] 杨荣国, 张超霞, 李妮, 张静, 郜江瑞 2019 物理学报 68 094205
Google Scholar
Yang R G, Zhang C X, Li N, Zhang J, Gao J R 2019 Acta Phys. Sin. 68 094205
Google Scholar
[9] Shang Y N, Jia X J, Shen Y M, Xie C D, Peng K C 2010 Opt. Lett. 35 853
Google Scholar
[10] Xin J, Qi J, Jing J T 2017 Opt. Lett. 42 366
Google Scholar
[11] Lou Y B, Chen Y X, Wang J B, Liu S S, Jing J T 2023 Sci. China Phys. Mech. 66 250311
Google Scholar
[12] Gough J E, Wildfeuer S 2009 Phys. Rev. A 80 042107
Google Scholar
[13] Iida S, Yukawa M, Yonezawa H, Yamamoto N, Furusawa A 2012 IEEE Trans. Autom. Control 57 2045
Google Scholar
[14] Yan Z H, Jia X J, Su X L, Duan Z Y, Xie C D, Peng K C 2012 Phys. Rev. A 85 040305
Google Scholar
[15] Pan X C, Chen H, Wei T X, Zhang J, Marino A M, Treps N, Glasser R T, Jing J T 2018 Phys. Rev. B 97 161115
Google Scholar
[16] Zhong Y Y, Jing J T 2020 Phys. Rev. A 101 023813
Google Scholar
[17] Fang Y M, Jing J T 2015 New J. Phys. 17 023027
Google Scholar
[18] Liu S S, Lou Y B, Jing J T 2019 Phys. Rev. Lett. 123 113602
Google Scholar
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