Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment

We study the vacuum Rabi splitting of a qubit ultrastrongly coupled to a high-Q cavity mode and a radiation reservoir. Three methods are employed: a numerically exact variational approach with a multiple Davydov ansatz, the rotating-wave approximation (RWA), and the transformed RWA. Agreement betwee...

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Main Authors: Yan, Yiying, Ergogo, Tadele T., Lü, Zhiguo, Chen, Lipeng, Luo, Jun Yan, Zhao, Yang
Other Authors: School of Materials Science and Engineering
Format: Journal Article
Language:English
Published: 2022
Subjects:
Online Access:https://hdl.handle.net/10356/157800
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author Yan, Yiying
Ergogo, Tadele T.
Lü, Zhiguo
Chen, Lipeng
Luo, Jun Yan
Zhao, Yang
author2 School of Materials Science and Engineering
author_facet School of Materials Science and Engineering
Yan, Yiying
Ergogo, Tadele T.
Lü, Zhiguo
Chen, Lipeng
Luo, Jun Yan
Zhao, Yang
author_sort Yan, Yiying
collection NTU
description We study the vacuum Rabi splitting of a qubit ultrastrongly coupled to a high-Q cavity mode and a radiation reservoir. Three methods are employed: a numerically exact variational approach with a multiple Davydov ansatz, the rotating-wave approximation (RWA), and the transformed RWA. Agreement between the variational results and the transformed RWA results is found in the regime of validity of the latter, where the RWA breaks down completely. We illustrate that the Lamb shift plays an essential role in modifying the vacuum Rabi splitting in the ultrastrong coupling regime, leading to off-resonant qubit-cavity coupling even though the cavity frequency equals the bare transition frequency of the qubit. Specifically, the emission spectrum exhibits one broad low-frequency peak and one narrow high-frequency peak in the presence of relatively weak cavity-qubit coupling. As the cavity-qubit coupling increases, the low-frequency peak narrows while the high-frequency peak broadens until they have similar widths.
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spelling ntu-10356/1578002023-07-14T16:06:02Z Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment Yan, Yiying Ergogo, Tadele T. Lü, Zhiguo Chen, Lipeng Luo, Jun Yan Zhao, Yang School of Materials Science and Engineering Science::Chemistry::Physical chemistry Cavity Mode Qubits We study the vacuum Rabi splitting of a qubit ultrastrongly coupled to a high-Q cavity mode and a radiation reservoir. Three methods are employed: a numerically exact variational approach with a multiple Davydov ansatz, the rotating-wave approximation (RWA), and the transformed RWA. Agreement between the variational results and the transformed RWA results is found in the regime of validity of the latter, where the RWA breaks down completely. We illustrate that the Lamb shift plays an essential role in modifying the vacuum Rabi splitting in the ultrastrong coupling regime, leading to off-resonant qubit-cavity coupling even though the cavity frequency equals the bare transition frequency of the qubit. Specifically, the emission spectrum exhibits one broad low-frequency peak and one narrow high-frequency peak in the presence of relatively weak cavity-qubit coupling. As the cavity-qubit coupling increases, the low-frequency peak narrows while the high-frequency peak broadens until they have similar widths. Ministry of Education (MOE) Submitted/Accepted version Support from the National Natural Science Foundation of China (Grant Nos. 12005188, 11774226, and 11774311) and the Singapore Ministry of Education Academic Research Fund Tier 1 (Grant No. RG190/18) is gratefully acknowledged. 2022-05-16T05:16:56Z 2022-05-16T05:16:56Z 2021 Journal Article Yan, Y., Ergogo, T. T., Lü, Z., Chen, L., Luo, J. Y. & Zhao, Y. (2021). Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment. Journal of Physical Chemistry Letters, 12(40), 9919-9925. https://dx.doi.org/10.1021/acs.jpclett.1c02791 1948-7185 https://hdl.handle.net/10356/157800 10.1021/acs.jpclett.1c02791 34613722 40 12 9919 9925 en RG 190/18 RG 87/20 Journal of Physical Chemistry Letters This document is the Accepted Manuscript version of a Published Work that appeared in final form in Journal of Physical Chemistry Letters, copyright © American Chemical Society after peer review and technical editing by the publisher. To access the final edited and published work see https://doi.org/10.1021/acs.jpclett.1c02791. application/pdf
spellingShingle Science::Chemistry::Physical chemistry
Cavity Mode
Qubits
Yan, Yiying
Ergogo, Tadele T.
Lü, Zhiguo
Chen, Lipeng
Luo, Jun Yan
Zhao, Yang
Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment
title Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment
title_full Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment
title_fullStr Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment
title_full_unstemmed Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment
title_short Lamb shift and the vacuum Rabi splitting in a strongly dissipative environment
title_sort lamb shift and the vacuum rabi splitting in a strongly dissipative environment
topic Science::Chemistry::Physical chemistry
Cavity Mode
Qubits
url https://hdl.handle.net/10356/157800
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