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We study the intensity-dependent and nonresonant Jaynes-Cummings Hamiltonian when the field is described by an arbitrary shape-invariant system. We determine the eigenstates, eigenvalues, time evolution matrix and the population inversion…

Quantum Physics · Physics 2007-05-23 A. N. F. Aleixo , A. B. Balantekin , M. A. Candido Ribeiro

Catalysis plays a key role in many scientific areas, most notably in chemistry and biology. Here we present a catalytic process in a paradigmatic quantum optics setup, namely the Jaynes-Cummings model, where an atom interacts with an…

We study the dynamics of an one dimensional array of Jaynes-Cummings-Hubbard system of arbitrary number of coupled cavities, each containing a two level atom that interacts with a field mode. In particular, we consider propagation of a…

Quantum Physics · Physics 2011-03-04 R. Chakrabarti , G. Sreekumari

In this work, we uncover new features on the study of a two-level atom interacting with one of two cavities in a coherent superposition. The James-Cummings model is used to describe the atom-field interaction and to study the effects of…

Quantum Physics · Physics 2023-12-13 L. O. Castaños-Cervantes , Lorenzo M. Procopio , Marco Enríquez

We analyze here a nonclassical state produced by an atom-cavity field interaction. The two-level atom is passed through the single-mode electromagnetic cavity field. By deforming the field operators and introducing nonlinearity to the…

Quantum Physics · Physics 2023-04-14 Naveen Kumar , Deepak , Arpita Chatterjee

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

A classical realization of the Jaynes-Cummings (JC) model, describing the interaction of a two-level atom with a quantized cavity mode, is proposed based on light transport in engineered waveguide superlattices. The optical setting enables…

Quantum Physics · Physics 2015-06-03 Stefano Longhi

We consider a generalized Jaynes-Cummings model of a two-level atom interacting with a multimode nondegenerate coherent field. The sum of the mode frequencies is equal to the two-level transition frequency, creating the resonance condition.…

Quantum Physics · Physics 2014-06-24 Himadri Shekhar Dhar , Arpita Chatterjee , Rupamanjari Ghosh

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 follow a generalized kinematic approach to compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models, which provide a fully quantum description for a two-level system interacting with a single mode of…

Quantum Physics · Physics 2022-02-25 Ludmila Viotti , Fernando C. Lombardo , Paula I. Villar

Quantum semitoric systems form a large class of quantum Hamiltonian integrable systems with circular symmetry which has received great attention in the past decade. They include systems of high interest to physicists and mathematicians such…

Spectral Theory · Mathematics 2014-08-05 Yohann Le Floch , Álvaro Pelayo , San Vu Ngoc

The original Jaynes-Cummings model is described by a Hamiltonian which is exactly solvable. Here we extend this model by several types of interactions leading to a nonhermitian operator which doesn't satisfy the physical condition of…

Quantum Physics · Physics 2009-11-11 Y. Brihaye , A. Nininahazwe

The generalization of the Jaynes-Cummings (GJC) Model is proposed. In this model, the electromagnetic radiation is described by a Hamiltonian generalizing the harmonic oscillator to take into account some nonlinear effects which can occurs…

High Energy Physics - Theory · Physics 2009-10-31 M. Daoud , J. Douari

In this work we develop an open quantum system view of the parametric approximation, which allows us to obtain systematic perturbative corrections to it. We consider the Jaynes-Cummings model with dissipation, assuming that the field is in…

Quantum Physics · Physics 2025-05-07 A. Yu. Karasev , A. E. Teretenkov

We propose to implement the Jaynes-Cummings model by coupling a few-micrometer large atomic ensemble to a quantized cavity mode and classical laser fields. A two-photon transition resonantly couples the single-atom ground state |g> to a…

Quantum Physics · Physics 2015-05-19 Christine Guerlin , Etienne Brion , Tilman Essslinger , Klaus Moelmer

We consider a laser-driven and dissipative system of two coupled cavities with Jaynes-Cummings nonlinearity. In particular, we investigate both incoherent and coherent laser driving, corresponding to different experimental situations. We…

Mesoscale and Nanoscale Physics · Physics 2011-02-28 Michael Knap , Enrico Arrigoni , Wolfgang von der Linden , Jared H. Cole

In this paper we study a two-photon time-dependent Jaynes-Cummings model interacting with a Kerr-like medium. We assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the…

Quantum Physics · Physics 2015-06-26 Guido Berlin , J. Aliaga

We consider a two-level system such as a two-level atom, interacting with a cavity field mode in the rotating wave approximation, when the atomic transition frequency or the field mode frequency is periodically driven in time. We show that…

We study the nonlinear response of a driven cavity QED system in the extreme strong coupling regime where the saturation photon number is below one by many orders of magnitude. In this regime, multi-photon resonances within the…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 András Dombi , András Vukics , Peter Domokos

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.…