The quantum Rabi model: solution and dynamics
Qiongtao Xie, Honghua Zhong, Murray T. Batchelor, Chaohong Lee
TL;DR
This paper reviews recent advances in solving and understanding the quantum Rabi model, highlighting exact solutions, generalisations, dynamics, and experimental implementations, providing a comprehensive overview of its theoretical and practical aspects.
Contribution
It provides a comprehensive review of the exact analytic solutions, generalisations, and experimental realizations of the quantum Rabi model, summarizing recent progress in the field.
Findings
Exact solutions via confluent Heun functions
Analysis of level statistics and dynamics
Overview of experimental realizations
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.
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