Spontaneous emission of a moving atom in a waveguide of rectangular cross section

doi:10.1088/1674-1056/ac7a11

中国物理B ›› 2023, Vol. 32 ›› Issue (2): 20302-020302.doi: 10.1088/1674-1056/ac7a11

Spontaneous emission of a moving atom in a waveguide of rectangular cross section

Jing Zeng(曾静), Jing Lu(卢竞), and Lan Zhou(周兰)^†

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physicsand Synergetic Innovation Center of Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

收稿日期:2022-03-27 修回日期:2022-06-13 接受日期:2022-06-18 出版日期:2023-01-10 发布日期:2023-01-10
通讯作者: Lan Zhou E-mail:zhoulan@hunnu.edu.cn
基金资助:
Project supported by the Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province, China (Grant No. 2020RC4047), and the National Natural Science Foundation of China (Grant Nos. 11975095, 12075082, and 11935006).

Spontaneous emission of a moving atom in a waveguide of rectangular cross section

Jing Zeng(曾静), Jing Lu(卢竞), and Lan Zhou(周兰)^†

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physicsand Synergetic Innovation Center of Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China

Received:2022-03-27 Revised:2022-06-13 Accepted:2022-06-18 Online:2023-01-10 Published:2023-01-10
Contact: Lan Zhou E-mail:zhoulan@hunnu.edu.cn
Supported by:
Project supported by the Science and Technology Innovative Research Team in Higher Educational Institutions of Hunan Province, China (Grant No. 2020RC4047), and the National Natural Science Foundation of China (Grant Nos. 11975095, 12075082, and 11935006).

摘要/Abstract

摘要： We study the spontaneous emission (SE) of an excited nonrelativistic two-level system (TLS) interacting with the vacuum in a waveguide of rectangular cross section. All TLS's transitions and the center-of-mass motion of the TLS are taken into account. The SE rate and the carried frequency of the emitted photon for the TLS initially being at rest are obtained, it is found that in the first order of the mass $M$, the frequency of the emitted photon is smaller than the transition frequency of the TLS and the SE rate is smaller than the SE rate $\varGamma_{\rm f}$ of the TLS fixed in the same waveguide. The SE rate for the TLS initially being moving is obtained in the second order of the mass $M$. The SE rate is smaller than $\varGamma_{\rm f}$ but it is dependent not only on the atomic mass but also on the initial momentum. The carried frequency of the emitted photon is decreased when it travels along the direction of the initial momentum, whereas it is increased when it travels in the opposite direction of the initial momentum.

关键词: spontaneous emission, moving atom, waveguide of rectangular cross section

Abstract: We study the spontaneous emission (SE) of an excited nonrelativistic two-level system (TLS) interacting with the vacuum in a waveguide of rectangular cross section. All TLS's transitions and the center-of-mass motion of the TLS are taken into account. The SE rate and the carried frequency of the emitted photon for the TLS initially being at rest are obtained, it is found that in the first order of the mass $M$, the frequency of the emitted photon is smaller than the transition frequency of the TLS and the SE rate is smaller than the SE rate $\varGamma_{\rm f}$ of the TLS fixed in the same waveguide. The SE rate for the TLS initially being moving is obtained in the second order of the mass $M$. The SE rate is smaller than $\varGamma_{\rm f}$ but it is dependent not only on the atomic mass but also on the initial momentum. The carried frequency of the emitted photon is decreased when it travels along the direction of the initial momentum, whereas it is increased when it travels in the opposite direction of the initial momentum.

Key words: spontaneous emission, moving atom, waveguide of rectangular cross section

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

03.65.Yz

03.65.-w (Quantum mechanics) 32.80.Qk (Coherent control of atomic interactions with photons)

Jing Zeng(曾静), Jing Lu(卢竞), and Lan Zhou(周兰). Spontaneous emission of a moving atom in a waveguide of rectangular cross section[J]. 中国物理B, 2023, 32(2): 20302-020302.

Jing Zeng(曾静), Jing Lu(卢竞), and Lan Zhou(周兰). Spontaneous emission of a moving atom in a waveguide of rectangular cross section[J]. Chin. Phys. B, 2023, 32(2): 20302-020302.

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Spontaneous emission of a moving atom in a waveguide of rectangular cross section

Spontaneous emission of a moving atom in a waveguide of rectangular cross section

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