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We use a recently derived gauge-invariant formulation of the problem of a two-level system coupled to an optical cavity, to explore the transition between the weak, and the ultra-strong coupling regimes of light-matter interaction. We…

We show how the Jaynes--Cummings--Rabi model of cavity quantum electrodynamics can be realized via an isomorphism to the Hamiltonian of a qubit inside a parametric amplifier cavity. This realization clears the way to observe the full…

Quantum Physics · Physics 2021-02-24 R. Gutiérrez-Jáuregui , G. S. Agarwal

The extended quantum Rabi models make a significant contribution to understand the quantum nature of the atom-light interaction. We transform two kinds of extended quantum Rabi model, anisotropic Rabi model and asymmetric Rabi model, into…

Quantum Physics · Physics 2022-07-20 Yibo Liu , Lijun Mao , Yunbo Zhang

Rabi oscillations is a key phenomenon among the variety of quantum optical effects that manifests itself in the periodic oscillations of a two-level system between the ground and excited states when interacting with electromagnetic field.…

Optics · Physics 2016-11-22 Denis G. Baranov , Mihail I. Petrov , Alexander E. Krasnok

The interaction of a two-level atom with a single-mode quantized field is one of the simplest models in quantum optics. Under the rotating wave approximation, it is known as the Jaynes-Cummings model and without it as the Rabi model.…

We explore the nonlinear response of tailor-cut light-matter hybrid states in a novel regime, where both the Rabi frequency induced by a coherent driving field and the vacuum Rabi frequency set by a cavity field are comparable to the…

Quantum Physics · Physics 2021-05-05 J. Mornhinweg , M. Halbhuber , C. Ciuti , D. Bougeard , R. Huber , C. Lange

We propose a scheme of enhancement of Rabi coupling between two identical atomic ensembles trapped inside an optical cavity in a membrane-in-the-middle set up. The cavity modes dispersively interact with the ensembles and the effective…

Quantum Physics · Physics 2017-03-08 Anil K. Chauhan , Asoka Biswas

It is shown that the (driven) quantum Rabi model and its 2-photon and 2-mode generalizations possess a hidden $sl(2)$-algebraic structure which explains the origin of the quasi-exact solvability of these models. It manifests the first…

Quantum Physics · Physics 2016-11-08 Yao-Zhong Zhang

Using extended coherent states, an analytical exact study has been carried out for the quantum Rabi model (QRM) with two arbitrary qubits in a very concise way. The $G$-functions with $2 \times 2$ determinants are generally derived. For the…

Quantum Physics · Physics 2015-06-19 Liwei Duan , Shu He , Qing-Hu Chen

We study a quantum dot strongly coupled to a single high-finesse optical microcavity mode. We use a rotating wave approximation method, commonly used in ion-laser interactions, tegether with the Lamb-Dicke approximation to obtain an…

Other Condensed Matter · Physics 2008-05-26 Jonas Larson , Hector Moya-Cessa

The Quantum Rabi model serves as a pivotal theoretical framework for elucidating the nuanced interplay between light and matter. Utilizing circuit quantum electrodynamics on a chip, we address the challenge of achieving deep strong coupling…

Quantum Physics · Physics 2024-02-20 Noureddine Rochdi , Atta ur Rahman , Rachid Ahl Laamara , Mohamed Bennai

When an atom strongly couples to a cavity, it can undergo coherent vacuum Rabi oscillations. Controlling these oscillatory dynamics quickly relative to the vacuum Rabi frequency enables remarkable capabilities such as Fock state generation…

Optics · Physics 2014-10-31 Ranojoy Bose , Tao Cai , Kaushik Roy Choudhury , Glenn S. Solomon , Edo Waks

We investigate a generalized quantum Rabi model (QRM) with two- and four-photon terms with respect to applications for non-linear critical quantum metrology. In the introduced model, the spectral collapse occurring in the standard…

Quantum Physics · Physics 2025-08-26 Zu-Jian Ying , Hang-Hang Han , Bo-Jian Li , Simone Felicetti , Daniel Braak

As the simplest and most fundamental model describing the interaction between light and matter, a breakdown in the rotating wave approximation of the Rabi model leads to phase transition versus coupling strength when the frequency of the…

Quantum Physics · Physics 2023-10-17 M. Li , Y. N. Wang , Z. Y. Song , Y. M. Zhao , X. L. Zhao , H. Y. Ma

We compare the semiclassical and quantum predictions for the unitary dynamics of a two-level atom interacting with a single-mode electromagnetic field in the presence of parametric modulation of the atomic parameters, in the regime of…

Quantum Physics · Physics 2025-09-17 M V S de Paula , M A Damasceno Faustino , A V Dodonov

In this paper, we investigate the energy spectrum and coherent dynamical process in a cavity-QED setup with a moving emitter, which is subject to a harmonic potential. We find that the vibration of the emitter will induce the effective Kerr…

Quantum Physics · Physics 2022-10-18 Mingzhu Weng , Zhihai Wang

On the level of single atoms and photons, the coupling between atoms and the electromagnetic field is typically very weak. By employing a cavity to confine the field, the strength of this interaction can be increased many orders of…

Mesoscale and Nanoscale Physics · Physics 2009-02-02 Lev S. Bishop , J. M. Chow , Jens Koch , A. A. Houck , M. H. Devoret , E. Thuneberg , S. M. Girvin , R. J. Schoelkopf

An analytical variational method for the ground state of the biased quantum Rabi model in the ultra-strong coupling regime is presented. This analytical variational method can be obtained by a unitary transformation or alternatively by…

Quantum Physics · Physics 2019-04-23 Bin-Bin Mao , Maoxin Liu , Wei Wu , Liangsheng Li , Zu-Jian Ying , Hong-Gang Luo

We have analyzed the interaction of a dissipative two level quantum system with high and low frequency excitation. The system is continuously and simultaneously irradiated by these two waves. If the frequency of the first signal is close to…

Materials Science · Physics 2007-05-23 Ya. S. Greenberg , E. Il'ichev , A. Izmalkov

We present an analytical method for the two-qubit quantum Rabi model. While still operating in the frame of the generalized rotating-wave approximation (GRWA), our method further embraces the idea of introducing variational parameters. The…

Quantum Physics · Physics 2019-04-23 Bin-Bin Mao , Liangsheng Li , Yimin Wang , Wen-Long You , Wei Wu , Maoxin Liu , Hong-Gang Luo