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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

The resonant interaction of laser light with atoms is analyzed from the time-dependent density functional theory perspective using a model Helium atom which can be solved exactly. It is found that in exact-exchange approximation the…

Atomic Physics · Physics 2015-05-13 M. Ruggenthaler , D. Bauer

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. After a…

Quantum Physics · Physics 2025-04-01 Moorad Alexanian

We demonstrate that the quantum phase transition (QPT) of the Rabi model and critical dynamics near the QPT can be probed in the setup of a single trapped ion. We first show that there exists equilibrium and non-equilibrium universal…

Quantum Physics · Physics 2017-02-22 Ricardo Puebla , Myung-Joong Hwang , Jorge Casanova , Martin B. Plenio

Nonlinearity and entanglement are two important properties by which physical systems can be identified as non-classical. We study the dynamics of the resonant interaction of up to N=3 two-level systems and a single mode of the…

We propose a practical approximation to the exchange-correlation functional of (time-dependent) density functional theory for many-electron systems coupled to photons. The (time non-local) optimized effective potential (OEP) equation for…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Camilla Pellegrini , Johannes Flick , Ilya V. Tokatly , Heiko Appel , Angel Rubio

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

A two-interacting-qubit quantum Rabi-like model with vanishing transverse fields on the qubit-pair is studied. Independently of the coupling regime, this model can be exactly and unitarily reduced to two independent single-spin quantum Rabi…

We investigate entanglement dynamics and properties of double Jaynes-Cummings model. In particular we study the dynamics of double Jaynes-Cummings model based on geometric invariants for four qubits. We show that these geometric invariants…

Quantum Physics · Physics 2015-06-05 Hoshang Heydari , Duy Hoang

The Rabi model plays a fundamental role in understanding light-matter interaction. It reduces to the Jaynes-Cummings model via the rotating-wave approximation, which is applicable only to the cases of near resonance and weak coupling.…

Quantum Physics · Physics 2015-11-13 Zu-Jian Ying , Maoxin Liu , Hong-Gang Luo , Hai-Qing Lin , J. Q. You

Quantum Rabi model (QRM) is widely used for the analysis of the radiation-matter interaction at the fundamental level in cavity quantum electrodynamics. Typically the QRM Hamiltonian includes only $\boldsymbol{\mathsf{p}} \cdot…

Quantum Physics · Physics 2020-02-20 I. D. Feranchuk , N. Q. San , A. U. Leonau , O. D. Skoromnik

A two-qutrit extension of the quantum Rabi model is studied. Despite its increased complexity, the model results to be integrable under specific, physically relevant conditions. This feature allows for the emergence of analytically…

Quantum Physics · Physics 2026-04-23 R. Grimaudo , A. S. M. De Castro , G. Falci , A. Messina , E. Paladino , A. Messina , N. V. Vitanov

The quantum Rabi model (QRM), composed of a qubit interacting with a quantized photonic field, is a cornerstone of quantum optics. The QRM with dominant unitary dynamics has been demonstrated in circuit quantum electrodynamics (QED)…

Quantum Physics · Physics 2025-06-23 Wen Ning , Ri-Hua Zheng , Jia-Hao Lü , Ken Chen , Xin Zhu , Fan Wu , Zhen-Biao Yang , Shi-Biao Zheng

We explore the long-time dynamics of Rabi model in a driven-dissipative setting and show that, as the atom-cavity coupling strength becomes larger than the cavity frequency, a new time scale emerges. This time scale, much larger than the…

Quantum Physics · Physics 2017-03-22 Alexandre Le Boité , Myung-Joong Hwang , Martin B. Plenio

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

In this paper we discuss both analytically and numerically the rich quantum dynamics of the spin-boson model driven by a time-independent field of photon. Interestingly, we predict a new Rabi oscillation, whose period is inversely…

Quantum Physics · Physics 2011-07-20 Qifeng Liang , Lixian Yu , Gang Chen , Suotang Jia

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

The simple resonant Rabi oscillation of a two-level system in a single-mode coherent field reveals complex features at the mesoscopic scale, with oscillation collapses and revivals. Using slow circular Rydberg atoms interacting with a…

Quantum Physics · Physics 2019-10-09 F. Assemat , D. Grosso , A. Signoles , A. Facon , I. Dotsenko , S. Haroche , J. M. Raimond , M. Brune , S. Gleyzes

The familiar Rabi model, comprising a two-level system coupled to a quantum harmonic oscillator, continues to produce rich and surprising physics when the coupling strength becomes comparable to the individual subsystem frequencies. We…

Quantum Physics · Physics 2014-02-26 E. K. Irish , J. Gea-Banacloche

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
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