The quantum Rabi model: Solution and dynamics

Qiongtao Xie; Honghua Zhong; Murray T. Batchelor; Chaohong Lee

doi:10.1088/1751-8121/aa5a65

The quantum Rabi model: Solution and dynamics

Qiongtao Xie, Honghua Zhong, Murray T. Batchelor, Chaohong Lee^*

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

164 Citations (Scopus)

Abstract

This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of confluent Heun functions. The analytic solutions for various generalisations of the quantum Rabi model are also discussed. Results are also reviewed on the level statistics and the dynamics of the quantum Rabi model. The article concludes with an introductory overview of several experimental realisations of the quantum Rabi model. An outlook towards future developments is also given.

Original language	English
Article number	113001
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	50
Issue number	11
DOIs	https://doi.org/10.1088/1751-8121/aa5a65
Publication status	Published - 10 Feb 2017

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title = "The quantum Rabi model: Solution and dynamics",

abstract = "This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of confluent Heun functions. The analytic solutions for various generalisations of the quantum Rabi model are also discussed. Results are also reviewed on the level statistics and the dynamics of the quantum Rabi model. The article concludes with an introductory overview of several experimental realisations of the quantum Rabi model. An outlook towards future developments is also given.",

keywords = "integrability, quantum Rabi model, quantum optics",

author = "Qiongtao Xie and Honghua Zhong and Batchelor, {Murray T.} and Chaohong Lee",

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AB - This article presents a review of recent developments on various aspects of the quantum Rabi model. Particular emphasis is given on the exact analytic solution obtained in terms of confluent Heun functions. The analytic solutions for various generalisations of the quantum Rabi model are also discussed. Results are also reviewed on the level statistics and the dynamics of the quantum Rabi model. The article concludes with an introductory overview of several experimental realisations of the quantum Rabi model. An outlook towards future developments is also given.

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KW - quantum optics

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The quantum Rabi model: Solution and dynamics

Abstract

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