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The Jaynes-Cummings model describes the coupling between photons and a single two-level atom in a simplified representation of light-matter interactions. In circuit QED, this model is implemented by combining microwave resonators and…

Quantum Physics · Physics 2013-09-30 Sebastian Schmidt , Jens Koch

The Jaynes-Cummings model describing the interaction of a single linearly- polarized mode of the quantized electromagnetic field with an isolated two- level atom is generalized to the case of atomic levels degenerate in the projections of…

Optics · Physics 2014-11-04 V. A. Reshetov

We investigate a generalized Jaynes-Cummings model with the external field driving the cavity mode. The numerical results for the dynamics of the atom and the cavity field mode are given. Approximated solutions to the Schrodinger equation…

Quantum Physics · Physics 2012-12-14 B. Tuguldur , Ts. Gantsog

We present a novel approach for studying the dynamics of a superconducting qubit in a cavity. We succeed in linearizing the Hamiltonian through the application of an appropriate unitary transformation followed by a rotating wave…

Quantum Physics · Physics 2015-06-12 Dagoberto S. Freitas , A. Vidiella-Barranco , J. A. Roversi

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC…

The present work focuses on the strong/weak interaction of many-body spin-systems with a cavity mode. It introduces the necessity of redefining the physical conditions determining the strong/weak coupling regime in those systems. In more…

Quantum Physics · Physics 2026-04-23 Roberto Grimaudo , Sagnik Chakraborty , Rosario Lo Franco , Giuseppe Falci

We employ a squeeze operator transformation approach to solve the anisotropic quantum Rabi model that includes a diamagnetic term. By carefully adjusting the amplitude of the diamagnetic term, we demonstrate that the anisotropic Rabi model…

In this paper we provide a microscopic derivation of the master equation for the Jaynes-Cummings model with cavity losses. We single out both the differences with the phenomenological master equation used in the literature and the…

Quantum Physics · Physics 2007-05-23 M. Scala , B. Militello , A. Messina , J. Piilo , S. Maniscalco

We study in detail entanglement properties of the Jaynes-Cummings model assuming a two-level atom (qubit) interacting with the first $N$ levels of an electromagnetic field mode (qudit) in a cavity. In the Jaynes-Cummings model, the number…

Quantum Physics · Physics 2015-06-15 Nicolás Quesada , Anna Sanpera

We show how the Jaynes--Cummings--Rabi model of cavity quantum electrodynamics can be realized via an isomorphism to the Hamiltonian of a qubit inside a parametric amplifier cavity. This realization clears the way to observe the full…

Quantum Physics · Physics 2021-02-24 R. Gutiérrez-Jáuregui , G. S. Agarwal

We determine the Rabi oscillations for coherent and squeezed coherent states via one- and two-photon atomic transitions in two- and three-level atoms, respectively. The effect of squeezing coherent states is to reduce the large number of…

Quantum Physics · Physics 2020-01-07 Moorad Alexanian

The Jaynes-Cummings model is a cornerstone of light-matter interactions. While finite, the model provides an illustrative example of renormalisation in perturbation theory. We show, however, that exact renormalisation reveals a rich…

Quantum Physics · Physics 2020-09-30 Anton Ilderton

We perform a quantum mechanical analysis of superconducting resonators subject to dielectric loss arising from charged two-level systems. We present numerical and analytical descriptions of the dynamics of energy decay from the resonator…

Quantum Physics · Physics 2015-05-28 M. Bhattacharya , K. D. Osborn , Ari Mizel

The light-matter interaction described by Rabi model and Jaynes-Cummings (JC) model is investigated by parity breaking as well as the scaling behavior of ground-state population-inversion expectation. We show that the parity breaking leads…

Quantum Physics · Physics 2013-08-09 T. Liu , M. Feng , W. L. Yang , J. H. Zou , L. Li , Y. X. Fan , K. L. Wang

Considering the intrinsic nonlinearity in a nanomechanical resonator coupled to a charge qubit, vacuum Rabi splitting effect is studied in a nanomechanical QED (qubit-resonator) system. A driven nonlinear Jaynes-Cummings model describes the…

Quantum Physics · Physics 2016-03-02 M. Y. Zhao , S. M. Yu , X. Xiao , Y. B. Gao

The counterpart of the rotating wave approximation for non-Hermitian Hamiltonians is considered, which allows for the derivation of a suitable effective Hamiltonian for systems with some states undergoing decays. In the limit of very high…

Quantum Physics · Physics 2021-08-04 Benedetto Militello , Anna Napoli

We studied full revivals of quantum states in the Jaynes-Cannings model. It is proved that in the case of zero detuning in subspaces generated by two adjacent pairs of energy levels, full revival of the subspace does not exist for any…

Quantum Physics · Physics 2016-12-21 Yuri Ozhigov , Nadejda Victorova

A new analytic approach to investigate the zero-temperature time evolution of the Jaynes-Cummings system with cavity losses is developed. With the realistic coupling between the cavity and the environment assumed, a simple master equation…

Quantum Physics · Physics 2021-06-02 Soshun Ozaki , Hiromichi Nakazato

The anisotropic Rabi model (ARM), which features tunable Jaynes-Cummings (JC) and anti-Jaynes-Cummings (AJC) interactions, has remained challenging to realize fully. We present a circuit QED implementation that provides static control over…

Quantum Physics · Physics 2025-12-17 S. Mojtaba Tabatabaei , Babak Zare Rameshti , Mohsen Akbari

We study the dynamics of two qubits interacting with a single mode of a harmonic oscillator beyond the rotating wave approximation in the ideally degenerate regime. Exact analytic expressions are obtained for state properties of interest,…

Quantum Physics · Physics 2011-06-02 S. Agarwal , S. M. Hashemi Rafsanjani , J. H. Eberly
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