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The quantum Rabi model describes the fundamental mechanism of light-matter interaction. It consists of a two-level atom or qubit coupled to a quantized harmonic mode via a transversal interaction. In the weak coupling regime, it reduces to…

The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of…

The quantum Rabi model, which describes the interaction between a simplified atom and a mode of the electromagnetic field, is a cornerstone of modern quantum optics. One of the key assumptions of the model is that the `atom' is a perfect…

Quantum Physics · Physics 2025-04-09 Tabitha Doicin , Andrew D. Armour , Tommaso Tufarelli

We introduce a modified Jaynes-Cummings model with single-photon cavity radiation field but with the atomic system instead of exchanging a single photon as in the Jaynes-Cummings model, it exchanges instead a squeezed photon with squeezing…

Quantum Physics · Physics 2024-05-28 Moorad Alexanian

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.…

The Rabi model that describes the fundamental interaction between a two-level system with a quantized harmonic oscillator is one of the simplest and most ubiquitous models in modern physics. However, this model has not been solved exactly…

Quantum Physics · Physics 2015-06-04 Lixian Yu , Shiqun Zhu , Qifeng Liang , Gang Chen , Suotang Jia

We discuss the physics of the Rabi-Hubbard model describing large arrays of coupled cavities interacting with two level atoms via a Rabi non-linearity. We show that the inclusion of counter-rotating terms in the light-matter interaction,…

Other Condensed Matter · Physics 2013-11-13 M. Schiró , M. Bordyuh , B. Öztop , H. E. Türeci

Herein, we propose an experimentally feasible scheme to show the quantum phase transition of the Jaynes-Cummings (JC) model by modulating the transition frequency of a two-level system in a quantum Rabi model with strong coupling. By tuning…

Quantum Physics · Physics 2023-11-27 Cheng Liu , Jin-Feng Huang

The interaction between atoms and a quantized radiation field is fundamentally important in quantum optics and quantum information science. Due to their unusual properties, Rydberg atoms are promising building blocks for two-qubit gates and…

Quantum Physics · Physics 2026-01-06 Francisco D. Santillan , Andreas Hanke

We introduce a modified Jaynes-Cummings model with single-photon cavity radiation field but with the atomic system instead of exchanging a single photon as in the Jaynes-Cummings model, it exchanges instead a squeezed photon. After a…

Quantum Physics · Physics 2025-04-01 Moorad Alexanian

We propose the quantum simulation of the quantum Rabi model in all parameter regimes by means of detuned bichromatic sideband excitations of a single trapped ion. We show that current setups can reproduce, in particular, the ultrastrong and…

Quantum Physics · Physics 2015-10-21 J. S. Pedernales , I. Lizuain , S. Felicetti , G. Romero , L. Lamata , E. Solano

We explore an extended quantum Rabi model describing the interaction between a two-mode bosonic field and a three-level atom. Quantum phase transitions of this few degree of freedom model is found when the ratio $\eta$ of the atom energy…

Quantum Physics · Physics 2020-08-17 Yan Zhang , Bin-Bin Mao , Dazhi Xu , Yu-Yu Zhang , Wen-Long You , Maoxin Liu , Hong-Gang Luo

A parity deformed Jaynes-Cummings model (JCM) is introduced, which describes an interaction of a two-level atom with a $\lambda$-deformed quantized field. In the rotating wave approximation (RWA), all eigen-values and eigen-functions of…

Quantum Physics · Physics 2016-12-23 A. Dehghani , B. Mojaveri , S. Shirin , S. Amiri

The Rabi Hamiltonian, describing the interaction between a two-level atomic system and a single cavity mode of the electromagnetic field, is one of the fundamental models in quantum optics. The model becomes exactly solvable by considering…

Quantum Physics · Physics 2021-08-04 Giovanni Scala , Karolina Słowik , Paolo Facchi , Saverio Pascazio , Francesco Pepe

We propose a quantum simulation of the quantum Rabi model in an atomic quantum dot, which is a single atom in a tight optical trap coupled to the quasiparticle modes of a superfluid Bose-Einstein condensate. This widely tunable setup allows…

Quantum Physics · Physics 2017-09-26 S. Felicetti , G. Romero , E. Solano , C. Sabín

The quantum Rabi model describes the coupling of a two-state system to a bosonic field mode. Recent theoretical work has pointed out that a generalized periodic version of this model, which maps onto Hamiltonians applicable in…

Quantum Physics · Physics 2024-07-11 Geram R. Hunanyan , Johannes Koch , Stefanie Moll , Enrique Rico , Enrique Solano , Martin Weitz

The Jaynes-Cummings model (JCM) describes the interaction of a two-level atom with a single quantised field mode in an optical cavity. In this BSc project we derive the basic Rabi model Hamiltonian and show how it leads to the JCM…

Quantum Physics · Physics 2012-12-19 Max F. Frenzel

We propose a reliable scheme to realize the ultrastrong Jaynes-Cummings (JC) model by simultaneously modulating the resonance frequencies of the two-level system and the bosonic mode in the ultrastrong quantum Rabi model. We find that in…

Quantum Physics · Physics 2020-05-06 Jin-Feng Huang , Jie-Qiao Liao , Le-Man Kuang

We introduce the cross-cavity quantum Rabi model describing the interaction of a single two-level system with two orthogonal boson fields and propose its quantum simulation by two-dimensional, bichromatic, first-sideband driving of a single…

Quantum Physics · Physics 2016-10-12 C. Huerta Alderete , B. M. Rodríguez-Lara

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…

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