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The interaction of a two-level atom with a single-mode quantized field is one of the simplest models in quantum optics. Under the rotating wave approximation, it is known as the Jaynes-Cummings model and without it as the Rabi model.…

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

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 symmetric quantum Rabi model (QRM) is integrable due to a discrete $\mathbb{Z}_2$-symmetry of the Hamiltonian. This symmetry is generated by a known involution operator, measuring the parity of the eigenfunctions. An experimentally…

Mathematical Physics · Physics 2023-02-21 Cid Reyes-Bustos , Daniel Braak , Masato Wakayama

Quantum simulators hold promise for solving many intractable problems. However, a major challenge in quantum simulation, and quantum computation in general, is to solve problems with limited physical hardware. Currently, this challenge is…

Quantum Physics · Physics 2025-04-15 Gal Gumpel , Jiwon Kang , Eliya Blumenthal , Aron Klevansky , Eunseong Kim , Shay Hacohen-Gourgy

Vacuum Rabi splitting is observed in a coupled qubit-resonator system consisting of a GaAs double quantum dot and a coplanar waveguide resonator. Derived values of the qubit-resonator coupling strength and the decoherence rate indicate…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 H. Toida , T. Nakajima , S. Komiyama

In cavity quantum electrodynamics (QED), light-matter interaction is probed at its most fundamental level, where individual atoms are coupled to single photons stored in three-dimensional cavities. This unique possibility to experimentally…

Mesoscale and Nanoscale Physics · Physics 2010-10-05 T. Niemczyk , F. Deppe , H. Huebl , E. P. Menzel , F. Hocke , M. J. Schwarz , J. J. Garcia-Ripoll , D. Zueco , T. Hümmer , E. Solano , A. Marx , R. Gross

We discuss the equilibrium and out of equilibrium dynamics of cavity QED in presence of dissipation beyond the standard perturbative treatment of losses. Using the dynamical polaron \emph{ansatz} and Matrix Product State simulations, we…

Quantum Physics · Physics 2019-01-09 David Zueco , Juanjo García-Ripoll

Advanced bosonic quantum computing architectures demand nonlocal Gaussian operations such as two-mode squeezing to unlock universal control, enable entanglement generation, and implement logical operations across distributed modes. This…

Quantum Physics · Physics 2025-07-31 Eliya Blumenthal , Nir Gutman , Ido Kaminer , Shay Hacohen-Gourgy

We consider a generalized version of the Rabi model that includes a nonlinear, dispersive-type atom-field interaction in addition to the usual linear dipole coupling, as well as cavity dissipation. An effective system of this sort arises,…

Quantum Physics · Physics 2014-08-27 Arne L. Grimsmo , Scott Parkins

The asymmetric quantum Rabi model (AQRM) has a broken $\mathbb{Z}_2$ symmetry, with generally a non-degenerate eigenvalue spectrum. In some special cases where the asymmetric parameter is a multiple of the cavity frequency, stable level…

Quantum Physics · Physics 2021-02-24 Zi-Min Li , Murray T. Batchelor

Quantum Rabi model (QRM) is a fundamental model for light-matter interactions, the finite-component quantum phase transition (QPT) in the QRM has established a paradigmatic application for critical quantum metrology (CQM). However, such a…

Quantum Physics · Physics 2026-05-12 Qiu-Yi Chen , Feng Qiao , Zu-Jian Ying

The hidden $\mathbb{Z}_2$ symmetry of the asymmetric quantum Rabi model (AQRM) has recently been revealed via a systematic construction of the underlying symmetry operator. Based on the AQRM result, we propose an ansatz for the general form…

Quantum Physics · Physics 2022-03-01 Xilin Lu , Zi-Min Li , Vladimir V. Mangazeev , Murray T. Batchelor

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

Squeezed states of harmonic oscillators are a central resource for continuous-variable quantum sensing, computation and communication. Here we propose a method for the generation of very good approximations to highly squeezed vacuum states…

Quantum Physics · Physics 2021-04-21 Jacob Hastrup , Kimin Park , Radim Filip , Ulrik L. Andersen

Dynamics of N bodies interacting with quantum cavity is presented. The rotating frame approximation is not used and obtained solutions are the most basic in the framework of generalized Jaynes-Cummings tight-binding model. All presented…

Quantum Physics · Physics 2020-08-28 Krzysztof Pomorski

Different from the conventional Rydberg antiblockade (RAB) regime that either requires weak Rydberg-Rydberg interaction (RRI), or compensates Rydberg-Rydberg interaction (RRI)-induced energy shift by introducing dispersive interactions, we…

Quantum Physics · Physics 2019-11-25 Jin-Lei Wu , Shi-Lei Su , Jie Song

The Jaynes-Cummings model (JCM) describes the interaction of a two-level atom with a single quantised field mode in an optical cavity. In this BSc project we derive the basic Rabi model Hamiltonian and show how it leads to the JCM…

Quantum Physics · Physics 2012-12-19 Max F. Frenzel

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

The interaction of a two-level system (TLS) with a single bosonic mode is one of the most fundamental processes in quantum optics. Microscopically, it is described by the quantum Rabi model (QRM). Here, we propose an implementation of this…

Quantum Physics · Physics 2018-08-15 P. Schneeweiss , A. Dareau , C. Sayrin