Non-Markovian dynamics with $Λ$-type atomic systems in a single end photonic waveguide

Fuente: arXiv
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Autori principali: Zheng, Jun-Cong, Zheng, Xiao-Wei, Hei, Xin-Lei, Qiao, Yi-Fan, Yao, Xiao-Yu, Pan, Xue-Feng, Ren, Yu-Meng, Huo, Xiao-Wen, Li, Peng-Bo
Natura: Preprint
Pubblicazione: 2025
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author Zheng, Jun-Cong
Zheng, Xiao-Wei
Hei, Xin-Lei
Qiao, Yi-Fan
Yao, Xiao-Yu
Pan, Xue-Feng
Ren, Yu-Meng
Huo, Xiao-Wen
Li, Peng-Bo
author_facet Zheng, Jun-Cong
Zheng, Xiao-Wei
Hei, Xin-Lei
Qiao, Yi-Fan
Yao, Xiao-Yu
Pan, Xue-Feng
Ren, Yu-Meng
Huo, Xiao-Wen
Li, Peng-Bo
contents In this work, we investigate the non-Markovian dynamical evolution of a $Λ$-type atom interacting with a semi-infinite one-dimensional photonic waveguide via two atomic transitions. The waveguide terminates at a perfect mirror, which reflects the light and introduces boundary effects. We derive exact analytical expressions and show that, under suitable conditions, the instantaneous and retarded decay rates reach equilibrium, leading to the formation of an atom-photon bound state that suppresses dissipation. Consequently, the atom retains a long-lived population in the asymptotic time limit. Furthermore, we analyze the output field intensity and demonstrate that blocking one of the coupling channels forces the atomic system to emit photons of a single frequency. Finally, we extend the model to a two-atom system and examine the disentanglement dynamics of the two spatially separated atoms. These findings elucidate the dynamic process of spontaneous emission involving multi-frequency photons from multi-level atoms and provide insights into the complex interference between different decay pathways.
format Preprint
id arxiv_https___arxiv_org_abs_2503_15216
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Non-Markovian dynamics with $Λ$-type atomic systems in a single end photonic waveguide
Zheng, Jun-Cong
Zheng, Xiao-Wei
Hei, Xin-Lei
Qiao, Yi-Fan
Yao, Xiao-Yu
Pan, Xue-Feng
Ren, Yu-Meng
Huo, Xiao-Wen
Li, Peng-Bo
Quantum Physics
In this work, we investigate the non-Markovian dynamical evolution of a $Λ$-type atom interacting with a semi-infinite one-dimensional photonic waveguide via two atomic transitions. The waveguide terminates at a perfect mirror, which reflects the light and introduces boundary effects. We derive exact analytical expressions and show that, under suitable conditions, the instantaneous and retarded decay rates reach equilibrium, leading to the formation of an atom-photon bound state that suppresses dissipation. Consequently, the atom retains a long-lived population in the asymptotic time limit. Furthermore, we analyze the output field intensity and demonstrate that blocking one of the coupling channels forces the atomic system to emit photons of a single frequency. Finally, we extend the model to a two-atom system and examine the disentanglement dynamics of the two spatially separated atoms. These findings elucidate the dynamic process of spontaneous emission involving multi-frequency photons from multi-level atoms and provide insights into the complex interference between different decay pathways.
title Non-Markovian dynamics with $Λ$-type atomic systems in a single end photonic waveguide
topic Quantum Physics
url https://arxiv.org/abs/2503.15216