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Related papers: A hidden analytic structure of the Rabi model

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We study the coherent dynamics of an excited two-level atom in a vacuum optomechanical cavity and find that the original atom-cavity Rabi oscillation is sinusoidally modulated by the light-mechanics coupling as the Rabi splitting is on…

Quantum Physics · Physics 2015-07-21 Zhenshan Yang , Chenglin Bai , Xiangguo Meng , Minghong Wang

We report coherent overtone Rabi oscillations of optically-polarized triplet electron spins and nuclear hyperpolarization in powder samples at room temperature. The strong dependence of the single-quantum resonance on the orientation of the…

Quantum Physics · Physics 2025-12-18 Koichiro Miyanishi , Takuya F. Segawa , Makoto Negoro , Akinori Kagawa , Kazuyuki Takeda

The spectral density of the Rabi model is calculated exactly within a continued fraction approach. It is shown that the method yields a convergent solution.

Quantum Gases · Physics 2012-10-23 K. Ziegler

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…

We formulate a universal method for solving an arbitrary quantum system which, in the Bargmann representation, is described by a system of linear equations with one independent variable, such as one- and multi-photon Rabi models, or $N$…

Mathematical Physics · Physics 2014-11-03 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

We develop a realistic model of Rabi oscillations in a quantum-dot photodiode. Based in a multi-exciton density matrix formulation we show that for short pulses the two-level models fails and higher levels should be taken into account. This…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 J. M. Villas-Boas , Sergio E. Ulloa , A. O. Govorov

The asymmetric quantum Rabi model (AQRM) exhibits level crossings in the eigenspectrum for the values $\epsilon\in\frac{1}{2}\mathbb{Z}$ of the bias parameter $\epsilon$. Such level crossings are expected to be associated with some hidden…

Quantum Physics · Physics 2021-03-05 Vladimir V. Mangazeev , Murray T. Batchelor , Vladimir V. Bazhanov

A diagonalization scheme for the Rabi Hamiltonian, which describes a qubit interacting with a single-mode radiation field via a dipole interaction, is proposed. It is shown that the Rabi Hamiltonian can be solved almost exactly using a…

Quantum Physics · Physics 2015-05-18 Feng Pan , Xin Guan , Yin Wang , J. P. Draayer

By applying the Bogoliubov transformations and through the introduction of the Bargmann-Hilbert spaces, we obtain analytic representations of solutions to the driven Rabi model without ${\cal Z}_2$ symmetry, and the 2-photon and two-mode…

Quantum Physics · Physics 2020-01-31 Yao-Zhong Zhang

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…

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 temperature sensitivity of a probe in equilibrium can be gauged by its thermal quantum Fisher information (QFI). It is known that probes exhibiting degeneracy in their energy-level structure can achieve larger sensitivities, while…

Quantum Physics · Physics 2026-02-16 Tabitha Doicin , Luis A. Correa , Jonas Glatthard , Andrew D. Armour , Gerardo Adesso

The quantum Rabi model has been a useful and pedagogical quantum model in the past decades, sufficiently simple to be solved analytically and intuitively understood, while sufficiently complex as to provide highly non-trivial eigenstates…

Quantum Physics · Physics 2026-04-08 Lucas Lamata

In this contribution it is considered a simple and solvable model consisting of a qubit in interaction with an oscillator exposed to a very small "environment" (a second qubit). An isolated qubit-oscillator system having the oscillator…

Quantum Physics · Physics 2018-07-31 A. Vidiella-Barranco

We determine the Rabi oscillations for coherent and squeezed coherent states via one- and two-photon atomic transitions in two- and three-level atoms, respectively. The effect of squeezing coherent states is to reduce the large number of…

Quantum Physics · Physics 2020-01-07 Moorad Alexanian

The coupling of a two-level system with an electromagnetic field, whose fully quantized version is the quantum Rabi model, is among the central topics of quantum physics. When the coupling strength becomes large enough that the field mode…

Quantum Physics · Physics 2023-02-24 Johannes Koch , Geram R. Hunanyan , Till Ockenfels , Enrique Rico , Enrique Solano , Martin Weitz

We apply a mixed quantum-classical (MQC) approach to the quantum Rabi model, involving a classical optical field coupled self-consistently to a quantum two-level system. Under the rotating wave approximation, we analytically show this…

Quantum Physics · Physics 2025-06-13 Ming-Hsiu Hsieh , Roel Tempelaar

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

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 use time-domain numerical simulations of a two-dimensional (2D) scattering system to study the interaction of a collection of emitters resonantly coupled to an Anderson-localized mode. For a small electric field intensity, we observe the…