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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…

We study the ground states of the single- and two-qubit asymmetric Rabi models, in which the qubit-oscillator coupling strengths for the counterrotating-wave and corotating-wave interactions are unequal. We take the transformation method to…

Quantum Physics · Physics 2014-09-23 Li-Tuo Shen , Zhen-Biao Yang , Mei Lu , Rong-Xin Chen , Huai-Zhi Wu

We investigate first- and second-order quantum phase transitions of the anisotropic quantum Rabi model, in which the rotating- and counter-rotating terms are allowed to have different coupling strength. The model interpolates between two…

Quantum Physics · Physics 2017-12-06 Maoxin Liu , Stefano Chesi , Zu-Jian Ying , Xiaosong Chen , Hong-Gang Luo , Hai-Qing Lin

The Rabi model considers a two-level system (or spin-1/2) coupled to a quantized harmonic oscillator and describes the simplest interaction between matter and light. The recent experimental progress in solid-state circuit quantum…

Mesoscale and Nanoscale Physics · Physics 2014-08-20 Loïc Henriet , Zoran Ristivojevic , Peter P. Orth , Karyn Le Hur

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

In this work,we employ a unitary transformation with a suitable parameter to convert the quantum Rabi-Stark model into a Jaynes-Cummings-like model. Subsequently, we derive the analytical energy spectra in the ultrastrong coupling regime.…

Quantum Physics · Physics 2023-08-28 Gen Li , Hao Zhu , Guo-Feng Zhang

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

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

We have generalized Einstein coefficients and rate equations from quantum field theoretic point of view by bringing the fundamental processes and the quantum Rabi oscillation in a single footing for the light-matter interactions for nonzero…

Quantum Physics · Physics 2022-10-11 Najirul Islam , Shyamal Biswas

A tractable N-state Rabi Hamiltonian is introduced by extending the parity symmetry of the two-state model. The single-mode case provides a few-parameter description of a novel class of periodic systems, predicting that the ground state of…

Mesoscale and Nanoscale Physics · Physics 2012-05-03 Victor V. Albert

Quantum correlations and non-classical states are indispensable resources for advancing quantum technologies, and their resilience at finite temperatures is crucial for practical experimental implementations. The two-qubit quantum Rabi…

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

In circuit quantum electrodynamics (circuit QED), an artificial "circuit atom" can couple to a quantized microwave radiation much stronger than its real atomic counterpart. The celebrated quantum Rabi model describes the simplest…

Quantum Physics · Physics 2017-08-14 Vladimir E. Manucharyan , Alexandre Baksic , Cristiano Ciuti

Symmetry is crucial for gaining insights into the fundamental properties of physical systems, bringing possibilities in studying exotic phenomena such as quantum phase transitions and ground state entanglement. Here, we experimentally…

Quantum Physics · Physics 2025-01-13 Xingyu Zhao , Qian Bin , Waner Hou , Yi Li , Yue Li , Yiheng Lin , Xin-You Lü , Jiangfeng Du

An analytical approach is proposed to study the two-photon, two-mode and intensity-dependent Rabi models. By virtue of the su(1,1) Lie algebra, all of them can be unified to the same Hamiltonian with $\mathcal{Z}_2$ symmetry. There exist…

Quantum Physics · Physics 2023-02-28 Liwei Duan

The goal of this chapter is to compare the predictions of the semiclassical Rabi model (SRM), which describes the interaction between a two-level system (qubit) and a classical monochromatic wave, and the quantum Rabi model (QRM), under the…

Quantum Physics · Physics 2025-07-14 Alexandre P. Costa , Alexandre Dodonov

The quantum Rabi model (QRM) is used to describe the light-matter interaction at the quantum level in Cavity Quantum Electrodynamics (Cavity QED). It consists of a two-level system (atom or qubit) coupled to a single-mode quantum field, and…

Quantum Physics · Physics 2024-09-10 Zakaria Boutakka , Zoubida Sakhi , Mohamed Bennai

In this work, the anisotropic variant of the quantum Rabi model with different coupling strengths of the rotating and counter-rotating wave terms is studied by the Bogoliubov operator approach. The anisotropy preserves the parity symmetry…

Quantum Physics · Physics 2021-04-13 Xiang-You Chen , Liwei Duan , Daniel Braak , Qing-Hu Chen

We investigate a generalisation of the Rabi system in the Bargmann-Fock representation. In this representation the eigenproblem of the considered quantum model is described by a system of two linear differential equations with one…

Mathematical Physics · Physics 2015-04-23 Andrzej J. Maciejewski , Maria Przybylska , Tomasz Stachowiak

Gauge invariance is the cornerstone of modern quantum field theory. Recently, it has been shown that the quantum Rabi model, describing the dipolar coupling between a two-level atom and a quantized electromagnetic field, violates this…

Quantum Physics · Physics 2019-06-05 O. Di Stefano , A. Settineri , V. Macrì , L. Garziano , R. Stassi , S. Savasta , F. Nori