Decoherence and evolution of a general quadratic state for amplitude decay

doi:10.1088/1674-1056/adeb5f

中国物理B ›› 2026, Vol. 35 ›› Issue (2): 24204-024204.doi: 10.1088/1674-1056/adeb5f

Decoherence and evolution of a general quadratic state for amplitude decay

Zhi-Long Wan(万志龙)^1,†, Hong-Chun Yuan(袁洪春)^1,2, Xiao-Lei Yin(尹晓蕾)¹, and Chang-Ying Wang(王昌英)¹

1 School of Sciences, Changzhou Institute of Technology, Changzhou 213032, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China

收稿日期:2025-05-03 修回日期:2025-06-24 接受日期:2025-07-03 发布日期:2026-01-27
通讯作者: Zhi-Long Wan E-mail:wanzl@czu.cn

Decoherence and evolution of a general quadratic state for amplitude decay

Zhi-Long Wan(万志龙)^1,†, Hong-Chun Yuan(袁洪春)^1,2, Xiao-Lei Yin(尹晓蕾)¹, and Chang-Ying Wang(王昌英)¹

1 School of Sciences, Changzhou Institute of Technology, Changzhou 213032, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China

Received:2025-05-03 Revised:2025-06-24 Accepted:2025-07-03 Published:2026-01-27
Contact: Zhi-Long Wan E-mail:wanzl@czu.cn

摘要/Abstract

摘要： Making full use of the operator ordering method and the integration within ordered products, we obtain the analytical evolution law of a general quadratic state in the amplitude decay channel, and find that it is determined not only by the decay rate of the amplitude decay channel but also by the coefficients of the initial quadratic state. Further, the quantum statistical properties of the initial quadratic state for amplitude decay are investigated via its average photon number and photon-counting distribution, and its Wigner distribution function evolution is discussed in detail.

关键词: general quadratic state, amplitude decay channel, quantum statistical property, operator ordering, integration within ordered products

Abstract: Making full use of the operator ordering method and the integration within ordered products, we obtain the analytical evolution law of a general quadratic state in the amplitude decay channel, and find that it is determined not only by the decay rate of the amplitude decay channel but also by the coefficients of the initial quadratic state. Further, the quantum statistical properties of the initial quadratic state for amplitude decay are investigated via its average photon number and photon-counting distribution, and its Wigner distribution function evolution is discussed in detail.

Key words: general quadratic state, amplitude decay channel, quantum statistical property, operator ordering, integration within ordered products

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

05.30.-d (Quantum statistical mechanics) 42.50.Dv (Quantum state engineering and measurements)

Zhi-Long Wan(万志龙), Hong-Chun Yuan(袁洪春), Xiao-Lei Yin(尹晓蕾), and Chang-Ying Wang(王昌英). Decoherence and evolution of a general quadratic state for amplitude decay[J]. 中国物理B, 2026, 35(2): 24204-024204.

Zhi-Long Wan(万志龙), Hong-Chun Yuan(袁洪春), Xiao-Lei Yin(尹晓蕾), and Chang-Ying Wang(王昌英). Decoherence and evolution of a general quadratic state for amplitude decay[J]. Chin. Phys. B, 2026, 35(2): 24204-024204.

参考文献

[1] Breuer H and Petruccione F 2002 The Theory of open quantum systems (Oxford: Oxford University Press)
[2] Li S W, Yang L P and Sun C P 2014 Eur. Phys. J. D 68 45
[3] Schleich W P 2001 Quantum Optics in Phase Space (Berlin: Wiley VCH)
[4] Gardner C W and Zoller P 2000 Quantum Noise (Berlin: Spinger)
[5] Bonifacio R and Lugiato L A 1982 Dissipative Systems in Quantum Optics: Resonance Fluorescence, Optical Bistability, Superfluorescence (Berlin: Springer)
[6] Carmichael H J 1999 Statistical Methods in Quantum Optics 1: Master Equations and Fokker-Planck Equations (Berlin: Springer-Verlag) pp. 89–94
[7] Fan H Y and Hu L Y 2008 Mod. Phys. Lett. B 22 2435
[8] Meng X G, Goan X S,Wang J S and Zhang R 2018 Opt. Commun. 411 15
[9] Meng X G, Wang J S, Liang B L and Han C X 2018 Front. Phys. 13 130322
[10] Meng X G, Liang B L, Liu J M and Zhou X C 2025 Front. Phys. 20 022205
[11] Li S W, Yang L P and Sun C P 2014 Eur. Phys. J. D 68 45
[12] Mehta C L 1961 Phys. Rev. Lett. 18 752
[13] Zhang W M, Feng D H and Gilmore R 1990 Rev. Mod. Phys. 62 867
[14] Robert D and Combescure M 2021 Coherent States and Applications In Mathematical Physics (Swizerland: Springer)
[15] Zhang Y Y and Wang Y X 2025 Chin. Phys. B 34 094206
[16] Wu W F, Fang Y and Fu P 2025 Chin. Phys. B 33 094202
[17] Zhang K, Li L L and Fan H Y 2024 Chin. Phys. B 33 060307
[18] Fan H Y 2003 J. Opt. B: Quantum Seciclass. Opt. 5 R147
[19] Meng X G, Li K C, Wang J S, Zhang X Y, Zhang Z T, Yang Z S and Liang B L 2020 Ann. Phys. (Berlin) 532 1900585
[20] Fan H Y 2004 Int. J. Mod. Phys. B 18 1387
[21] Fan H Y 1991 Phys. Lett. A 161 1
[22] Meng X G, Li K C, Wang J S, Yang Z S, Zhang X Y, Zhang Z T and Liang B L 2020 Front. Phys. 15 52501
[23] Kelley P L and Kleiner W H 1964 Phys. Rev. 136 A316
[24] Fan H Y and Hu L Y 2008 Opt. Lett. 33 443
[25] Meng X G, Wang J S, Zhang X Y, Yang Z S, Liang B L and Zhang Z T 2020 Ann. Phys. (Berlin) 532 2000219
[26] Guo Y, Zhang X, Du Q P, Yang Z S and Li J P 2023 J. Liaocheng Univ. (Nat. Sci. Ed.) 36 39
[27] Zhang J D and Wang S 2024 J. Liaocheng Univ. (Nat. Sci. Ed.) 37 23
[28] Chen X M, Chen P Y and Wang C 2025 Chin. Phys. B 34 044201
[29] Yang D R, Li L Y, Zhang N and Yu H Y 2025 Chin. Phys. B 34 017301

Decoherence and evolution of a general quadratic state for amplitude decay

Decoherence and evolution of a general quadratic state for amplitude decay

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 4

Metrics

本文评价

推荐阅读 0

[1]	Yingyu Zhang(张映玉) and Yixing Wang(王依兴). Entropy evolution law of a general linear state for diffusion noise[J]. 中国物理B, 2025, 34(9): 94206-094206.
[2]	吕恒云, 王继锁, 张晓燕, 吴孟艳, 梁宝龙, 孟祥国. Wigner function for squeezed negative binomial state and evolution of density operator for amplitude decay[J]. 中国物理B, 2019, 28(9): 90302-090302.
[3]	徐兴磊, 李洪奇, 范洪义. Mutual transformations between the P–Q,Q–P, and generalized Weyl ordering of operators[J]. 中国物理B, 2014, 23(3): 30305-030305.
[4]	王继锁, 范洪义, 孟祥国. A generalized Weyl–Wigner quantization scheme unifying P–Q and Q–P ordering and Weyl ordering of operators[J]. 中国物理B, 2012, 21(6): 64204-064204.