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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

The polaron picture is employed to investigate and elucidate the physics of the two-qubit quantum Rabi model, which describes two identical qubits coupled to a common harmonic oscillator. This approach enables us to obtain the ground-state…

Quantum Physics · Physics 2020-07-01 Xi-Mei Sun , Lei-Cong , Hans-Peter Eckle , Zu-Jian Ying , Hong-Gang Luo

The Rabi oscillations of a two-level atom illuminated by a laser on resonance with the atomic transition may be suppressed by the atomic motion through averaging or filtering mechanisms. The optical analogs of these velocity effects are…

Quantum Physics · Physics 2009-11-11 J. G. Muga , B. Navarro

A coherent coupling among different energy photons provided by nonlinear optical interaction is regarded as a photonic version of the Rabi oscillation. Cavity enhancement of the nonlinearity reduces energy requirement significantly and…

The behaviour of a system of two two-level atoms, both identical as well as non-identical, under the influence of a continuously varying dipole-dipole coupling parameter for a wide range of other parameters such as the atomic level…

Optics · Physics 2012-07-25 Shaik Ahmed , Ashoka Vudayagiri , P. Anantha Lakshmi

Spectral collapse, the transition from discrete to continuous spectrum, is a characteristic in quantum Rabi models. We explore this phenomenon in the two-photon quantum Rabi model in optical phase space and find that, in the so-called…

Quantum Physics · Physics 2020-07-01 R. J. Armenta Rico , F. H. Maldonado-Villamizar , B. M. Rodriguez-Lara

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 realize a photonic analog simulator of the quantum Rabi model, based on light transport in femtosecond-laser-written waveguide superlattices, which provides an experimentally accessible testbed to explore the physics of light-matter…

Quantum Physics · Physics 2012-05-14 Andrea Crespi , Stefano Longhi , Roberto Osellame

We formulate a quantum mechanical system consisting of a single discrete state coupled to an infinite ladder of equally-spaced states, the coupling between the two being given by a Lorentzian profile. Various limits of this system…

Quantum Physics · Physics 2026-01-13 Enes Kutay İşgörür , Osman Cevheroğlu , Arkadaş Özakın

We study the superradiant phase transition of an array of Rydberg atoms in a dissipative microwave cavity. Under the interplay of the cavity field and the long-range Rydberg interaction, the steady state of the system exhibits an…

Quantum Physics · Physics 2024-12-11 Yiwen Han , Haowei Li , Wei Yi

It is well known that in the quantum Rabi model, a three-photon resonance occurs when the cavity field bare frequency is about 1/3 of the atomic transition frequency. In this manuscript, we show that the resonance can also be generated in…

Quantum Physics · Physics 2024-11-07 Ke-Xiong Yan , Yuan Qiu , Yang Xiao , Ye-Hong Chen , Yan Xia

The quantum Rabi model is a widespread description of the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become…

We present a new tractable quantum Rabi model for $N$-level atoms by extending the $\mathbb Z_2$ symmetry of the two-state Rabi model. The Hamiltonian is $\mathbb Z_N$ symmetric and allows the parameters in the level separation terms to be…

Quantum Physics · Physics 2014-05-23 Yao-Zhong Zhang

Rabi oscillations typify the inherent nonlinearity of optical excitations in quantum dots. Using an integral kernel formulation to solve the 3D Maxwell-Bloch equations in ensembles of up to $10^4$ quantum dots, we observe features in Rabi…

Atomic and Molecular Clusters · Physics 2017-09-13 Connor Glosser , B. Shanker , Carlo Piermarocchi

We show that it is possible to realize quantum superpositions of switched-on and -off strong light-matter interaction in a single quantum dot- semiconductor microcavity system. Such superpositions enable the observation of counterintuitive…

Quantum Physics · Physics 2017-08-02 A. Ridolfo , R. Stassi , O. Di Stefano

The interaction between an atom and a one mode external driving field is an ubiquitous problem in many branches of physics and is often modeled using the Rabi Hamiltonian. In this paper we present a series of analytically solvable…

Quantum Physics · Physics 2017-09-13 Andrey Pereverzev , Eric R. Bittner

The dynamics of a vibronic system in a lossy two-mode cavity is studied, with the first mode being resonant to the electronic transition and the second one being nearly resonant due to Raman transitions. We derive analytical solutions for…

Quantum Physics · Physics 2011-06-13 P. Grünwald , S. K. Singh , W. Vogel

The crossover from quantum to semiclassical behavior in the seminal Rabi model of light-matter interaction still, surprisingly, lacks a complete and rigorous understanding. A formalism for deriving the semiclassical model directly from the…

Quantum Physics · Physics 2024-03-27 E. K. Twyeffort Irish , A. D. Armour

We consider the phase-transition-like behaviour in the Rabi model containing a single two-level system, or qubit, and a single harmonic oscillator. The system experiences a sudden transition from an uncorrelated state to an increasingly…

Quantum Physics · Physics 2013-12-30 S. Ashhab

We consider the problem of a qubit driven by a harmonically oscillating external field while it is coupled to a quantum two-level system. We perform a systematic numerical analysis of the problem by varying the relevant parameters. The…

Superconductivity · Physics 2007-05-23 S. Ashhab , J. R. Johansson , Franco Nori
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