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The Rabi model plays a fundamental role in understanding light-matter interaction. It reduces to the Jaynes-Cummings model via the rotating-wave approximation, which is applicable only to the cases of near resonance and weak coupling.…

Quantum Physics · Physics 2015-11-13 Zu-Jian Ying , Maoxin Liu , Hong-Gang Luo , Hai-Qing Lin , J. Q. You

A one-parameter family of self-adjoint operators interpolating between the quantum Rabi Hamiltonian and its rotating-wave approximation is studied. A mathematically rigorous treatment of such interpolations has been lacking. Motivated by…

Mathematical Physics · Physics 2025-12-17 Masao Hirokawa , Fumio Hiroshima , DongYun Lee

We establish an approximate equivalence between a generalised quantum Rabi model and its nth order counterparts where spin-boson interactions are nonlinear as they comprise a simultaneous exchange of $n$ bosonic excitations. Although there…

Quantum Physics · Physics 2018-10-02 Jorge Casanova , Ricardo Puebla , Hector Moya-Cessa , Martin B. Plenio

We propose a three-cavity scheme to realize full control of the emitter-cavity coupling strength in cavity quantum electrodynamics (cQED). The involvement of coupled oscillators gives rise to transient dynamics comprising multiple spectral…

Quantum Physics · Physics 2026-05-22 J. W. Yu , H. B Wang , X. Q. Zhou , M. Tang , Z. B. Ni , X. T. Cheng , Y. Zhao , S. N Ding , J. Y. Yan , H. H. Zhu , C. H. Li , F. Liu , C. Y. Jin

We investigate the entanglement features in the interacting system of a quantized optical field and a two-level system which is statically driven, known as the asymmetric quantum Rabi model (AsymQRM). Intriguing entanglement resonance…

Quantum Physics · Physics 2022-07-12 Yu-Qing Shi , Lei Cong , Hans-Peter Eckle

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…

Quantum Physics · Physics 2023-04-07 Yiying Yan , Tadele T. Ergogo , Zhiguo Lü , Lipeng Chen , JunYan Luo , Yang Zhao

The controlled manipulation of quantum systems is becoming an important technological tool. Rabi oscillations are one of the simplest, yet quite useful mechanisms for achieving such manipulation. However, the validity of simple Rabi theory…

Quantum Physics · Physics 2025-05-13 Duje Bonacci

The scientific interest in the analytical solution of the quantum Rabi model is due to the widespread use of this simple model in quantum optics, quantum computing, cavity QED, and nanoelectromechanical systems. This interest is related to…

Quantum Physics · Physics 2023-02-14 Andrei Ivanov

The quantum Rabi model describes the ultrastrong interaction of a two-level atom coupled to a single quantized bosonic mode. As compared to the Jaynes-Cummings model, in the Rabi model the absorption and emission processes do not need to…

Quantum Physics · Physics 2015-02-24 Boyan T. Torosov , Stefano Longhi , Giuseppe Della Valle

In this paper, we propose a theoretical scheme to detect the emitter-resonator coupling strength in the ultra-strong coupling regime in the quantum Rabi model via introducing an auxiliary resonator. We demonstrate the total system as a…

Quantum Physics · Physics 2018-10-10 Xinyun Cui , Zhihai Wang , Yong Li

A two-level quantum system coherently driven by a resonant electromagnetic field oscillates sinusoidally between the two levels at frequency $\Omega$ which is proportional to the field amplitude [1]. This phenomenon, known as the Rabi…

Atomic Physics · Physics 2015-06-05 Y. O. Dudin , L. Li , F. Bariani , A. Kuzmich

We report experimental measurements of the transmission spectrum of an optical cavity coupled with cold Rb atoms. We observe the multi-atom vacuum Rabi splitting of a composite cavity and atom system. When a coupling field is applied to the…

Optics · Physics 2009-11-13 Gessler Hernandez , Jiepeng Zhang , Yifu Zhu

In this paper, we analyze the quantum criticality of the Rabi-Stark model at finite ratios of the qubit and cavity frequencies in terms of the energy gap, the order parameter, as well as the fidelity, if the Stark coupling strength is the…

Quantum Physics · Physics 2021-01-01 Xiang-You Chen , You-Fei Xie , Qing-Hu Chen

Dissipative quantum Rabi System, a finite-component system composed of a single two-level atom interacting with an optical cavity field mode, exhibits a quantum phase transition, which can be exploited to greatly enhance the estimation…

Quantum Physics · Physics 2023-07-06 Dong Xie , Chunling Xu , An Min Wang

The quantum Rabi model (QRM) with linear coupling between light mode and qubit exhibits the analog of a second order phase transition for vanishing mode frequency which allows for criticality-enhanced quantum metrology in a few-body system.…

Quantum Physics · Physics 2022-07-25 Zu-Jian Ying , Simone Felicetti , Gang Liu , Daniel Braak

The Rabi model describes the simplest interaction between light and matter via a two-level quantum system interacting with a bosonic field. We demonstrate that the fully quantised version of the Rabi model is integrable in the Yang-Baxter…

Quantum Physics · Physics 2015-05-13 Murray T. Batchelor , Huan-Qiang Zhou

We construct a connection of the ultracold atomic system in a harmonic trap with Raman-induced spin-orbit coupling to the quantum Rabi-like model. By mapping the trapped atomic system to a Rabi-like model, we can get the exact solution of…

Quantum Gases · Physics 2013-02-26 Haiping Hu , Shu Chen

The Rabi model, a two-level atom coupled to a harmonic oscillator, can undergo a second-order quantum phase transition (QPT) [M. -J. Hwang et al, Phys. Rev. Lett. 115, 180404 (2015)]. Here we show that the Rabi QPT accompanies critical…

Quantum Physics · Physics 2016-08-24 Ricardo Puebla , Myung-Joong Hwang , Martin B. Plenio

We uncover a remarkably regular array of singularity-like structures within the deep strong-coupling limit of qubit-oscillator (e.g. light-matter) systems described by the quantum Rabi model, as a function of time and coupling strength.…

Mesoscale and Nanoscale Physics · Physics 2021-11-02 J. M. Betancourt , F. J. Rodríguez , L. Quiroga , N. F. Johnson

We propose a quantum simulation of a two-level atom coupled to a single mode of the electromagnetic field in the ultrastrong-coupling regime based upon resonant Raman transitions in an atom interacting with a high finesse optical cavity…

Quantum Physics · Physics 2014-08-27 Arne L. Grimsmo , Scott Parkins
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