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We study the relations between massless Dirac fermions in an electromagnetic field and atoms in quantum optics. After getting the solutions of the energy spectrum, we show that it is possible to reproduce the 2D Dirac Hamiltonian, with all…

High Energy Physics - Theory · Physics 2015-05-27 Ahmed Jellal , Abderrahim El Mouhafid , Mohammed Daoud

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

We present a quantized model of harmonically confined dot atom with inherent damping in the presence of a transverse magnetic field. The model leads to a non hermitian Hamiltonian in real coordinate. We have analytically studied the effects…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Madhuri Mukhopadhyay , Ram Kuntal Hazra , Manas Ghosh , S. Mukherjee , S. P. Bhattacharyya

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 Jaynes-Cummings and quantum Rabi models are fundamental to cavity and circuit quantum electrodynamics, as they describe the simplest form of light-matter interaction, where a single qubit is coupled to a single bosonic mode. A scenario…

Quantum Physics · Physics 2025-06-11 Antti Vaaranta , Marco Cattaneo , Paolo Muratore-Ginanneschi

We construct a connection of the ultracold atomic system in a harmonic trap with Raman-induced spin-orbit coupling to the quantum Rabi-like model. By mapping the trapped atomic system to a Rabi-like model, we can get the exact solution of…

Quantum Gases · Physics 2013-02-26 Haiping Hu , Shu Chen

In this tutorial review, we briefly discuss the role that the Jaynes-Cummings model occupies in present-day research in cavity quantum electrodynamics with a particular focus on the so-called ultrastrong coupling regime. We start by…

Quantum Physics · Physics 2024-07-08 Daniele De Bernardis , Alberto Mercurio , Simone De Liberato

Accessing chaos in the quantum Rabi model (QRM) usually requires operating far from resonance, combined with ultra- or deep-strong light-matter coupling. This makes direct experiments challenging. In this manuscript, we propose a solution…

Quantum Physics · Physics 2026-03-11 Yan-Song Hu , Yuan Qiu , Ye-Hong Chen , XinYu Zhao , Yan Xia

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

By using a wave packet approach, this paper reviews the Jaynes-Cummings model with and without the rotating wave approximation in a non-standard way. This gives new insight, not only of the two models themselves, but of the rotating wave…

Quantum Physics · Physics 2007-06-23 Jonas Larson

Although the superradiant phase transition (SRPT) is prohibited in the paradigmatic quantum Rabi model due to the no-go theorem caused by the $\mathbf{A}^2$ term, we demonstrate two distinct types of SRPTs emerging from the normal phase in…

Quantum Physics · Physics 2025-04-28 Tian Ye , Yan-Zhi Wang , Xiang-You Chen , Qing-Hu Chen , Hai-Qing Lin

A quantum two level system coupled to a harmonic oscillator represents a ubiquitous physical system. New experiments in circuit QED and nano-electromechanical systems (NEMS) achieve unprecedented coupling strength at large detuning between…

Quantum Physics · Physics 2013-10-30 Kieran D. B. Higgins , Brendon W. Lovett , Erik M. Gauger

In the ultrastrong-coupling regime, the quantum Rabi model can exhibit quantum phase transition (QPT) when the ratio of the qubit transition frequency to the frequency of the cavity field approaches infinity. However, it is challenging to…

Quantum Physics · Physics 2025-02-17 Xuan Xie , Cheng Liu , Lin-Lin Jiang , Jin-Feng Huang

The anisotropic two-photon quantum Rabi model is studied using the Bogoliubov operator approach. The doubly degenerate exceptional states are identified through analytical methods. By adjusting the position of the last exceptional point…

Quantum Physics · Physics 2025-04-08 Jiong Li , Daniel Braak , Qing-Hu Chen

We investigate the nonequilibrium steady state of the anisotropic open quantum Rabi model, which exhibits first-order and second-order dissipative phase transitions upon varying the degree of anisotropy between the coupling strengths of…

Quantum Physics · Physics 2024-08-01 Guitao Lyu , Korbinian Kottmann , Martin B. Plenio , Myung-Joong Hwang

I revisit a longstanding question in quantum optics; When is the rotating wave approximation justified? In terms of the Jaynes-Cummings and Rabi models I demonstrate that the approximation in general breaks down in the adiabatic limit…

Quantum Physics · Physics 2014-09-15 Jonas Larson

We have numerically obtained theoretical results for the collapse and the revival of the quantum Rabi oscillations for low average number of coherent photons injected on a two-level system in a lossy resonant cavity. We have adopted the…

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

Squeezing is essential to many quantum technologies and our understanding of quantum physics. Here we develop a theory of steady-state squeezing that can be generated in the closed and open quantum Rabi as well as Dicke model. To this end,…

Quantum Physics · Physics 2024-01-08 Karol Gietka , Christoph Hotter , Helmut Ritsch

We propose a method for the fast generation of nonclassical ground states of the Rabi model in the ultrastrong and deep-strong coupling regimes via the shortcuts-to-adiabatic (STA) dynamics. The time-dependent quantum Rabi model is…

Quantum Physics · Physics 2021-01-15 Ye-Hong Chen , Wei Qin , Xin Wang , Adam Miranowicz , Franco Nori

The asymmetric quantum Rabi model (AQRM), which describes the interaction between a quantum harmonic oscillator and a biased qubit, arises naturally in circuit quantum electrodynamic circuits and devices. The existence of hidden symmetry in…

Quantum Physics · Physics 2021-09-10 Zi-Min Li , Devid Ferri , David Tilbrook , Murray T. Batchelor