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We study the quantum Rabi model for a two-level system coupled to a quantized cavity mode under periodic modulation of the cavity-dipole coupling in the ultrastrong coupling regime, leading to rich Floquet states. As an application of the…

Quantum Physics · Physics 2025-02-13 Kamran Akbari , Franco Nori , Stephen Hughes

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

We investigate nonclassical photon-bundle correlations in the quantum Rabi model and its extended cases, using the quantum dressed master equation. By tuning the light--matter coupling strength at finite temperature, the quantum Rabi model…

Quantum Physics · Physics 2026-03-31 Yong-Xin Zhang , Chen Wang , Qing-Hu Chen

We employ a polaron picture to investigate the properties of the two-photon quantum Rabi model (QRM), which describes a two-level or spin-half system coupled with a single bosonic mode by a two-photon process. In the polaron picture, the…

Quantum Physics · Physics 2019-01-16 Lei Cong , Xi-Mei Sun , Maoxin Liu , Zu-Jian Ying , Hong-Gang Luo

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

Multi-qubit quantum Rabi model, which is a fundamental model describing light-matter interaction, plays an important role in various physical systems. In this paper, we propose a theoretical method to simulate multi-qubit quantum Rabi model…

Quantum Physics · Physics 2019-02-27 Jialun Li , Gangcheng Wang , Ruoqi Xiao , Chunfang Sun , Chunfeng Wu , Kang Xue

Optically trapped ultracold polar molecules can have multiple long-lived states for coding quantum information, and can exhibit electric dipole-dipole interactions~(DDI) which enables entanglement generation. The general understanding on…

Quantum Physics · Physics 2026-05-25 Yan Lu , Xiao-Feng Shi

We map a quantum Rabi ring, consisting of $N$ cavities arranged in a ring geometry, into an effective magnetic model containing the XY exchange and the Dzyaloshinskii Moriya (DM) interactions. The analogue of the latter is induced by an…

Quantum Physics · Physics 2022-10-27 Diego Fallas Padilla , Han Pu , Guo-Jing Cheng , Yu-Yu Zhang

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

We present a new setting of the geometric Hamilton-Jacobi theory by using the so-called time-evolution operator K. This new approach unifies both the Lagrangian and the Hamiltonian formulation of the problem developed in a previous paper…

Mathematical Physics · Physics 2015-12-15 J. F. Carinena , X. Gracia , E. Martinez , G. Marmo , M. C. Munoz-Lecanda , N. Roman-Roy

The quantum Rabi model, involving a two-level system and a bosonic field mode, is arguably the simplest and most fundamental model describing quantum light-matter interactions. Historically, due to the restricted parameter regimes of…

When an atom is strongly coupled to a cavity, the two systems can exchange a single photon through a coherent Rabi oscillation. This process enables precise quantum-state engineering and manipulation of atoms and photons in a cavity, which…

We reelaborate on a general method for diagonalizing a wide class of nonlinear Hamiltonians describing different quantum optical models. This method makes use of a nonlinear deformation of the usual su(2) algebra and when some physical…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , A. Navarro , L. L. Sanchez-Soto

We propose the quantum simulation of the quantum Rabi model in all parameter regimes by means of detuned bichromatic sideband excitations of a single trapped ion. We show that current setups can reproduce, in particular, the ultrastrong and…

Quantum Physics · Physics 2015-10-21 J. S. Pedernales , I. Lizuain , S. Felicetti , G. Romero , L. Lamata , E. Solano

In recent works we have used quantum tools in the analysis of the time evolution of several macroscopic systems. The main ingredient in our approach is the self-adjoint Hamiltonian $H$ of the system $\Sc$. This Hamiltonian quite often, and…

Quantum Physics · Physics 2019-10-23 Fabio Bagarello

We formulate a quantum mechanical system consisting of a single discrete state coupled to an infinite ladder of equally-spaced states, the coupling between the two being given by a Lorentzian profile. Various limits of this system…

Quantum Physics · Physics 2026-01-13 Enes Kutay İşgörür , Osman Cevheroğlu , Arkadaş Özakın

Estimating a classical parameter encoded in the Hamiltonian of a quantum probe is a fundamental and well-understood task in quantum metrology. A textbook example is the estimation of a classical field's amplitude using a two-level probe, as…

Quantum Physics · Physics 2026-04-15 Ricard Ravell Rodríguez , Martí Perarnau-Llobet , Pavel Sekatski

This paper derives master equations for an atomic two-level system for a large set of unitarily equivalent Hamiltonians without employing the rotating wave and certain Markovian approximations. Each Hamiltonian refers to physically…

Quantum Physics · Physics 2015-06-03 Adam Stokes , Andreas Kurcz , Tim P. Spiller , Almut Beige

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

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
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