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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

The interaction of an ensemble of $N$ two-level atoms with a single mode electromagnetic field is described by the Tavis-Cummings model. There, the collectively enhanced light-matter coupling strength is given by $g_N = \sqrt{N} \bar{g}_1$,…

Quantum Physics · Physics 2022-02-09 Martin Blaha , Aisling Johnson , Arno Rauschenbeutel , Jürgen Volz

We study a generic cavity-QED system where a set of (artificial) two-level dipoles is coupled to the electric field of a single-mode LC resonator. This setup is used to derive a minimal quantum mechanical model for cavity QED, which…

Quantum Physics · Physics 2018-04-19 Daniele De Bernardis , Tuomas Jaako , Peter Rabl

We analyze the driven resonantly coupled Jaynes-Cummings model in terms of a quasienergy approach by switching to a frame rotating with the external modulation frequency and by using the dressed atom picture. A quasienergy surface in phase…

Superconductivity · Physics 2015-05-19 V. Peano , M. Thorwart

The interaction between the electromagnetic field inside a cavity and natural or artificial atoms has played a crucial role in developing our understanding of light-matter interaction, and is central to various quantum technologies.…

The extended Jaynes-Cummings model (eJCM) is a foundational framework for describing multi-mode light-matter interactions, with direct applications in quantum technologies such as photon addition and quasi-noiseless amplification. However,…

We introduce a generalization of the Jaynes-Cummings model and study some of its properties. We obtain the energy spectrum and eigenfunctions of this model by using the tilting transformation and the squeezed number states of the…

High Energy Physics - Theory · Physics 2016-11-04 D. Ojeda-Guillén , R. D. Mota , V. D. Granados

The quantum Rabi model describing the fundamental interaction between light and matter is a cornerstone of quantum physics. It predicts exotic phenomena like quantum phase transitions and ground-state entanglement in the…

Quantum Physics · Physics 2017-12-20 N. K. Langford , R. Sagastizabal , M. Kounalakis , C. Dickel , A. Bruno , F. Luthi , D. J. Thoen , A. Endo , L. DiCarlo

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

The Jaynes-Cummings model provides a simple and accurate description of the interaction between a two-level quantum emitter and a single mode of quantum radiation. Due to the multimode continuum of eigenmodes in free space and in…

Quantum Physics · Physics 2026-01-22 Victor Rueskov Christiansen , Mads Middelhede Lund , Fan Yang , Klaus Mølmer

The coherent state representations of the group $G = W_1 \otimes G_0$ (where $G_0 = SU(2), SU(1,1)$) are used in computer simulation of the dynamics of single two-level atom $(G_0 = SU(2))$ interacting with a quantized photon cavity mode -…

Quantum Physics · Physics 2007-05-23 Alexander V. Gorokhov , Elena V. Rogacheva , Alexander V. Shiryaev

We discuss the elementary errors in D.G. Zhang's [New. J. Phys. 23, 093014 (2021)] claimed exact solution of the quantum Rabi model. The erroneous solution is seen to be nothing more than the combined solution of the simpler Jaynes-Cummings…

Quantum Physics · Physics 2022-05-27 Daniel Braak , Murray T. Batchelor , Qing-Hu Chen

In this review we discuss the works in the area of quantum simulation and many-body physics with light, from the early proposals on equilibrium models to the more recent works in driven dissipative platforms. We start by describing the…

Quantum Physics · Physics 2016-11-29 Changsuk Noh , Dimitris G. Angelakis

This paper provides a scheme for generating maximally entangled qubit states in the anti-Jaynes-Cummings interaction mechanism, so called entangled anti-polariton qubit states. We demonstrate that in an initial vacuum-field, Rabi…

Quantum Physics · Physics 2021-07-20 Christopher Mayero , Joseph Akeyo Omolo , Onyango Stephen Okeyo

A k-quantum nonlinear Jaynes-Cummings model for two trapped ions interacting with laser beams resonant to k-th red side-band of center-of-mass mode, far from Lamb-Dicke regime, has been obtained. The exact analytic solution showed the…

Quantum Physics · Physics 2015-06-26 Hao-Sheng Zeng

With the Jaynes-Cummings model, we have studied the atom and light field quantum entanglement of multiphoton transition, and researched the effect of initial state superposition coefficient $C_{1}$, the transition photon number $N$, the…

Optics · Physics 2018-01-17 Xiao-Jing Liu , Jing-Bin Lu , Si-Qi Zhang , Ji-Ping Liu , Hong Li , Yu Liang , Ji Ma , Xiang-Yao Wu

The goal of this chapter is to investigate the effects of relaxation and dephasing on the quantum Rabi model in the ultrastrong coupling regime, and to provide explicit formulas to implement and numerically solve the resulting nonunitary…

Quantum Physics · Physics 2026-04-13 Alexandre P. Costa , Hebert S. Rego de Oliveira , Alexandre Dodonov

We investigate a strongly correlated system of light and matter in two-dimensional cavity arrays. We formulate a Jaynes-Cummings Hamiltonian for two-level atoms coupled to cavity modes and driven by an external laser field which reduces to…

Quantum Physics · Physics 2017-08-02 Jiří Minář , Şebnem Güneş Söyler , Pietro Rotondo , Igor Lesanovsky

We study the evolution of a photonic state in a coupled pair of anharmonic cavities and compare it with the corresponding system of two coupled harmonic cavities. The photons in the anharmonic cavities interact with a two-level atom and are…

Quantum Physics · Physics 2015-06-15 K. Ziegler

Understanding physical properties of quantum emitters strongly interacting with quantized electromagnetic modes is one of the primary goals in the emergent field of waveguide quantum electrodynamics (QED). When the light-matter coupling…

Quantum Physics · Physics 2023-05-30 Yuto Ashida , Takeru Yokota , Atac Imamoglu , Eugene Demler