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We revisit the mathematical formulation of the famous Jaynes-Cummings-Paul Hamiltonian, which describes the interaction of a two-level atom with a single mode of an electromagnetic cavity reservoir. We rigorously show that under the…

Quantum Physics · Physics 2011-07-26 Elaheh Ahmadi , Hamid Reza Chalabi , Abbas Arab , Sina Khorasani

The Jaynes-Cummings model provides a simple and accurate description of the interaction between a two-level quantum emitter and a single mode of quantum radiation. Due to the multimode continuum of eigenmodes in free space and in…

Quantum Physics · Physics 2026-01-22 Victor Rueskov Christiansen , Mads Middelhede Lund , Fan Yang , Klaus Mølmer

We propose an experimental setup, feasible with present day technology, involving two highquality- factor cavities, one Ramsey zone and a two-level atom which interacts with them. The dynamics in the cavities is modeled by a dissipative…

Quantum Physics · Physics 2010-02-24 E. Agudelo , B. A. Rodriguez , K. M. Fonseca-Romero

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 open Tavis--Cummings model consists of $N$ quantum emitters interacting with a common cavity mode, accounts for losses and decoherence, and is frequently explored for quantum information processing and designing quantum devices. As $N$…

This paper provides a scheme for generating maximally entangled qubit states in the anti-Jaynes-Cummings interaction mechanism, so called entangled anti-polariton qubit states. We demonstrate that in an initial vacuum-field, Rabi…

Quantum Physics · Physics 2021-07-20 Christopher Mayero , Joseph Akeyo Omolo , Onyango Stephen Okeyo

In this paper we have considered the interaction of a Jaynes and Cummings system with the electromagnetic field in its vacuum state and, solving the dynamical problem, we have analyzed the amount of entanglement induced in the bipartite…

Quantum Physics · Physics 2016-05-06 S. Nicolosi , P. Ferrante , G. Schiaccianoce , G. Rizzo

We study quantum optics with the atoms coupled to the quantized electromagnetic (EM) field in a non-inertial reference frame by making use of quantum field theory in curved spacetime. We rigorously establish the microscopic model for a…

Quantum Physics · Physics 2015-08-03 Sheng-Wen Li , Z. H. Wang , Lan Zhou , C. P. Sun

The interaction between atoms and a quantized radiation field is fundamentally important in quantum optics and quantum information science. Due to their unusual properties, Rydberg atoms are promising building blocks for two-qubit gates and…

Quantum Physics · Physics 2026-01-06 Francisco D. Santillan , Andreas Hanke

The Jaynes-Cummings model, with and without the rotating wave approximation, is expressed in the conjugate variable representation and solved numerically by wave packet propagation. Both cases are then cast into systems of two coupled…

Quantum Physics · Physics 2015-05-13 Jonas Larson

We introduce a modified Jaynes-Cummings model with single-photon cavity radiation field but with the atomic system instead of exchanging a single photon as in the Jaynes-Cummings model, it exchanges instead a squeezed photon. After a…

Quantum Physics · Physics 2025-04-01 Moorad Alexanian

In this paper we consider a model of quantum computation based on n atoms of laser-cooled and trapped linearly in a cavity and realize it as the n atoms Tavis-Cummings Hamiltonian interacting with n external (laser) fields. We solve the…

Quantum Physics · Physics 2009-11-10 Kazuyuki Fujii , Kyoko Higashida , Ryosuke Kato , Yukako Wada

A general scheme is given for supercomputer simulation of quantum processes, which are described by various modifications of finite-dimensional cavity quantum electrodynamics models, including Jaynes-Cummings-Hubbard model and…

Computational Physics · Physics 2024-09-10 Wanshun Li , Hui-hui Miao , Yuri Igorevich Ozhigov

We present exact numerical solutions of the damped-driven Jaynes--Cummings model adapted to describe absorptive optical bistability in the limit of a few atoms strongly coupled to a high-finesse resonator. We show that the simplifying…

Quantum Physics · Physics 2016-04-13 András Dombi , András Vukics , Peter Domokos

We analyze the Jaynes-Cummings model of quantum optics, in the strong-dispersive regime. In the bad cavity limit and on timescales short compared to the atomic coherence time, the dynamics are those of a nonlinear oscillator. A steady-state…

Quantum Physics · Physics 2010-09-03 Lev S. Bishop , Eran Ginossar , S. M. Girvin

In this paper, we address the phase space formulation of the Jaynes-Cummings model through the explicit construction of the full Wigner function for a hybrid bipartite quantum system composed of a two-level atom and a quantized coherent…

Quantum Physics · Physics 2025-07-01 Mar Sanchez-Cordova , Jasel Berra-Montiel , Alberto Molgado

The quantum to classical transition (QCT) is one of the central mysteries in quantum physics. This process is generally interpreted as state collapse from measurement or decoherence from interacting with the environment. Here we define the…

Quantum Physics · Physics 2023-11-14 Wei-Feng Zhuang , Yun-Tong Yang , Hong-Gang Luo , Ming Gong , Guang-Can Guo

The Jaynes-Cummings (JC) model has been at the forefront of quantum optics for almost six decades to date, providing one of the simplest yet intricately nonlinear formulations of light-matter interaction in modern physics. Laying most of…

Quantum Physics · Physics 2024-09-19 Jonas Larson , Th. K. Mavrogordatos

Many-body physics is traditionally concerned with systems of interacting massive particles. Recent studies of effective interactions between photons, induced in the circuit QED architecture by coupling the microwave field to superconducting…

Mesoscale and Nanoscale Physics · Physics 2011-10-18 A. Nunnenkamp , Jens Koch , S. M. Girvin

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