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The quantum Rabi model is a widespread description for the coupling between a two-level system and a quantized single mode of an electromagnetic resonator. Issues about this model's gauge invariance have been raised. These issues become…

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

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

We propose a multilevel quantum heat engine with a working medium described by a generalized Rabi model which consists of a two-level system coupled to a single mode bosonic field. The model is constructed to be a continuum limit of a…

Quantum Physics · Physics 2015-03-05 Ferdi Altintas , Ali Ü. C. Hardal , Özgür E. Müstecaplıoğlu

We predict large cooperative effect involving two atom two photon vacuum Rabi oscillations in a high quality cavity. The two photon emission occurs as a result of simultaneous de-excitation of both atoms with two photon resonance condition…

Quantum Physics · Physics 2009-11-10 P. K. Pathak , G. S. Agarwal

We investigate a generalized quantum Rabi model (QRM) with two- and four-photon terms with respect to applications for non-linear critical quantum metrology. In the introduced model, the spectral collapse occurring in the standard…

Quantum Physics · Physics 2025-08-26 Zu-Jian Ying , Hang-Hang Han , Bo-Jian Li , Simone Felicetti , Daniel Braak

Tho-photon Rabi oscillations hold potential for quantum computing and quantum information processing, because during a Rabi cycle a pair of entangled photons may be created. We theoretically investigate the onset of this phenomenon in a…

Quantum Physics · Physics 2019-02-19 Bintoro S. Nugroho , Alexander A. Iskandar , Victor A. Malyshev , Jasper Knoester

We revisit the theoretical description of the ultrastrong light-matter interaction in terms of exactly solvable effective Hamiltonians. A perturbative approach based on polaronic and spin-dependent squeezing transformations provides an…

Mesoscale and Nanoscale Physics · Physics 2022-02-07 P. Gartner , V. Moldoveanu

We investigate the effect of imperfections in realistic detectors upon the problem of quantum state and parameter estimation by continuous monitoring of an open quantum system. Specifically, we have reexamined the system of a two-level atom…

Quantum Physics · Physics 2009-11-10 P. Warszawski , Jay Gambetta , H. M. Wiseman

By applying the Bogoliubov transformations and through the introduction of the Bargmann-Hilbert spaces, we obtain analytic representations of solutions to the driven Rabi model without ${\cal Z}_2$ symmetry, and the 2-photon and two-mode…

Quantum Physics · Physics 2020-01-31 Yao-Zhong Zhang

A method is suggested to obtain the quasi exact solution of the Rabi Hamiltonian. It is conceptually simple and can be easily extended to other systems. The analytical expressions are obtained for eigenstates and eigenvalues in terms of…

Quantum Physics · Physics 2007-05-23 Ramazan Koc , Mehmet Koca , Hayriye Tutunculer

In this paper, we discuss the compatibility between the rotating-wave and the adiabatic approximations for controlled quantum systems. Although the paper focuses on applications to two-level quantum systems, the main results apply in higher…

Optimization and Control · Mathematics 2019-09-06 Nicolas Augier , Ugo Boscain , Mario Sigalotti

The squeezing effect arises in the interacting qubit-oscillator system is studied with the presence of a parametric oscillator in the Rabi model. Based on the generalized rotating wave approximation which works well in the wide range of…

Quantum Physics · Physics 2021-05-25 V. Yogesh , Prosenjit Maity

We studied the two-qubit quantum Rabi model and found its dark state solutions with at most N photons. One peculiar case presents when $N=3$, which has constant eigenenergy in the whole coupling regime and leads to level crossings within…

Quantum Physics · Physics 2024-06-05 Qiang Lin , Junlong Tian , Pinghua Tang , Jie Peng

Symmetry transformations have proved useful in determining the algebraic structure and internal dynamical properties of physical systems. In the quantum Rabi model, invariance under parity symmetry transformation has been used to obtain…

Quantum Physics · Physics 2022-02-11 Joseph Akeyo Omolo

Rabi oscillations is a key phenomenon among the variety of quantum optical effects that manifests itself in the periodic oscillations of a two-level system between the ground and excited states when interacting with electromagnetic field.…

Optics · Physics 2016-11-22 Denis G. Baranov , Mihail I. Petrov , Alexander E. Krasnok

We realize a photonic analog simulator of the quantum Rabi model, based on light transport in femtosecond-laser-written waveguide superlattices, which provides an experimentally accessible testbed to explore the physics of light-matter…

Quantum Physics · Physics 2012-05-14 Andrea Crespi , Stefano Longhi , Roberto Osellame

By mapping the Hamiltonians of the two-mode and 2-photon Rabi models to differential operators in suitable Hilbert spaces of entire functions, we prove that the two models possess entire and normalizable wavefunctions in the…

Quantum Physics · Physics 2017-04-19 Yao-Zhong Zhang

The generalized Rabi model (gRM) with both one- and two-photon coupling terms has been successfully implemented in circuit quantum electrodynamics systems. In this paper, we examine theoretically multiphoton resonances in the gRM and derive…

Quantum Physics · Physics 2020-11-12 Ken K. W. Ma

We study a Rabi type Hamiltonian system in which a qubit and a d-level quantum system (qudit) are coupled through a common resonator. In the weak and strong coupling limits the spectrum is analysed through suitable perturbative schemes. The…

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