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We consider a generalization of the non-Hermitian ${\mathcal PT}$ symmetric Jaynes-Cummings {Hamiltonian, recently introduced for studying optical phenomena with time-dependent physical parameters, that includes environment-induced decay}.…

Interaction of a two-level atom with a single mode of electromagnetic field including Kerr nonlinearity for the field and intensity-dependent atom-field coupling is discussed. The Hamiltonian for the atom-field system is written in terms of…

Quantum Physics · Physics 2016-09-08 S. Sivakumar

Understanding how strong coupling and memory effects influence the energy levels of open quantum systems is a complex and challenging problem. Here, we show these effects by probing the transition frequency of an open two-level system…

Jaynes-Cummings model is a typical model in quantum optics and has been realized with various physical systems (e.g, cavity QED, trapped ions, and circuit QED etc..) of two-level atoms interacting with quantized bosonic fields. Here, we…

Quantum Physics · Physics 2011-03-07 Miao Zhang , H. Y. Jia , L. F. Wei

Focusing on the widely adopted Hopfield model with cavity dissipation, we show how the linear spectrum of an ultrastrongly coupled cavity and a dipole can be described either classically or quantum mechanically, but only when the quantum…

Quantum Physics · Physics 2024-05-27 Stephen Hughes , Chris Gustin , Franco Nori

Analytical solution and entanglement swapping of a double Jaynes-Cummings model in non-Markovian environments are investigated by the timeconvolutionless master equation method. We obtain the analytical solution of this model and discuss in…

Quantum Physics · Physics 2019-01-17 Hong-Mei Zou , Mao-Fa Fang

As atom-cavity systems are becoming more sophisticated, the limitations of the Jaynes-Cummings model are becoming more apparent. In this paper, we therefore take a more dynamical approach to the modelling of atom-cavity systems and do not…

Quantum Physics · Physics 2026-04-28 Abeer Al Ghamdi , Gin Jose , Almut Beige

A formulation of quantum electrodynamics is given that applies to atoms in a strong laser field by perturbation theory in a non-relativistic regime. Dipole approximation is assumed. The dual Dyson series, here discussed by referring it to…

Quantum Physics · Physics 2007-05-23 Marco Frasca

The study of phase transitions in dissipative quantum systems based on the Liouvillian is often hindered by the difficulty of constructing a time-local master equation when the system-environment coupling is strong. To address this issue,…

Quantum Physics · Physics 2024-04-09 H. T. Cui , Y. A. Yan , M. Qin , X. X. Yi

A parity deformed Jaynes-Cummings model (JCM) is introduced, which describes an interaction of a two-level atom with a $\lambda$-deformed quantized field. In the rotating wave approximation (RWA), all eigen-values and eigen-functions of…

Quantum Physics · Physics 2016-12-23 A. Dehghani , B. Mojaveri , S. Shirin , S. Amiri

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

The Jaynes-Cummings quantum optics model allows us to understand the dialogue between light and matter at its most fundamental level, which is crucial for advancements in quantum science and technology. Several generalizations of the model…

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

We study the evolution of a photonic state in a coupled pair of anharmonic cavities and compare it with the corresponding system of two coupled harmonic cavities. The photons in the anharmonic cavities interact with a two-level atom and are…

Quantum Physics · Physics 2015-06-15 K. Ziegler

This paper investigates a novel hybrid cavity QED-optomechanics situation. We solve the Hamiltonian problem of a cavity coupled both to a two-level atom via a Jaynes-Cummings coupling and to a mechanical motion via radiation pressure…

Quantum Physics · Physics 2013-11-28 Juan Restrepo , Cristiano Ciuti , Ivan Favero

We consider a two-level atom interacting with a single mode of the electromagnetic field in a cavity within the Jaynes-Cummings model. Initially, the atom is thermal while the cavity is in a coherent state. The atom interacts with the…

Quantum Physics · Physics 2007-11-30 Hendrik Weimer , Günter Mahler

With artificially engineered systems, it is now possible to realize the coherent interaction rate, which can become comparable to the mode frequencies, a regime known as ultrastrong coupling (USC). We experimentally realize a…

In this article, the interaction of an arbitrary number of quantum dots, behaving as artificial molecules, with different energy levels and multi-mode electromagnetic field is studied. We make the assumption that each quantum dot can be…

Quantum Physics · Physics 2015-09-30 Amir Hossein Sadeghi , Ali Naqavi , Sina Khorasani

The Jaynes-Cummings-Hubbard (JCH) system describes a network of single-mode photonic cavities connected via evanescent coupling. Each cavity contains a single two level system which can be tuned in resonance with the cavity. Here we explore…

We consider two Jaynes-Cummings cavities coupled periodically with a photon hopping term. The semi-classical phase space is chaotic, with regions of stability over some ranges of the parameters. The quantum case exhibits dynamic…

Quantum Physics · Physics 2015-05-14 A. L. C. Hayward , Andrew D. Greentree