Time evolution law of a two-mode squeezed light field passing through twin diffusion channels

doi:10.1088/1674-1056/ac140b

中国物理B ›› 2022, Vol. 31 ›› Issue (2): 20301-020301.doi: 10.1088/1674-1056/ac140b

Time evolution law of a two-mode squeezed light field passing through twin diffusion channels

Hai-Jun Yu(余海军)^1,2,† and Hong-Yi Fan(范洪义)¹

1 School of Materials and Engineering, University of Science and Technology of China, Hefei 230026, China;
2 School of Electronic Engineering, Huainan Normal University, Huainan 232038, China

收稿日期:2021-03-11 修回日期:2021-07-07 接受日期:2021-07-14 出版日期:2022-01-13 发布日期:2022-01-13
通讯作者: Hai-Jun Yu E-mail:haijun20030@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11775208), the Foundation for Young Talents in College of Anhui Province, China (Grant No. gxyq2019077), and the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant Nos. KJ2019A0688 and KJ2020A0638).

Time evolution law of a two-mode squeezed light field passing through twin diffusion channels

Hai-Jun Yu(余海军)^1,2,† and Hong-Yi Fan(范洪义)¹

1 School of Materials and Engineering, University of Science and Technology of China, Hefei 230026, China;
2 School of Electronic Engineering, Huainan Normal University, Huainan 232038, China

Received:2021-03-11 Revised:2021-07-07 Accepted:2021-07-14 Online:2022-01-13 Published:2022-01-13
Contact: Hai-Jun Yu E-mail:haijun20030@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11775208), the Foundation for Young Talents in College of Anhui Province, China (Grant No. gxyq2019077), and the Natural Science Foundation of the Anhui Higher Education Institutions of China (Grant Nos. KJ2019A0688 and KJ2020A0638).

摘要/Abstract

摘要： We explore the time evolution law of a two-mode squeezed light field (pure state) passing through twin diffusion channels, and we find that the final state is a squeezed chaotic light field (mixed state) with entanglement, which shows that even though the two channels are independent of each other, since the two modes of the initial state are entangled with each other, the final state remains entangled. Nevertheless, although the squeezing (entanglement) between the two modes is weakened after the diffusion, it is not completely removed. We also highlight the law of photon number evolution. In the calculation process used in this paper, we make full use of the summation method within the ordered product of operators and the generating function formula for two-variable Hermite polynomials.

关键词: two-mode squeezed light field, twin diffusion channels, time evolution law, entanglement

Abstract: We explore the time evolution law of a two-mode squeezed light field (pure state) passing through twin diffusion channels, and we find that the final state is a squeezed chaotic light field (mixed state) with entanglement, which shows that even though the two channels are independent of each other, since the two modes of the initial state are entangled with each other, the final state remains entangled. Nevertheless, although the squeezing (entanglement) between the two modes is weakened after the diffusion, it is not completely removed. We also highlight the law of photon number evolution. In the calculation process used in this paper, we make full use of the summation method within the ordered product of operators and the generating function formula for two-variable Hermite polynomials.

Key words: two-mode squeezed light field, twin diffusion channels, time evolution law, entanglement

中图分类号: (Quantum mechanics)

03.65.-w

42.50.-p (Quantum optics) 63.20.-e (Phonons in crystal lattices)

Hai-Jun Yu(余海军) and Hong-Yi Fan(范洪义). Time evolution law of a two-mode squeezed light field passing through twin diffusion channels[J]. 中国物理B, 2022, 31(2): 20301-020301.

Hai-Jun Yu(余海军) and Hong-Yi Fan(范洪义). Time evolution law of a two-mode squeezed light field passing through twin diffusion channels[J]. Chin. Phys. B, 2022, 31(2): 20301-020301.

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Time evolution law of a two-mode squeezed light field passing through twin diffusion channels

Time evolution law of a two-mode squeezed light field passing through twin diffusion channels

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