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The Jaynes-Cummings (JC) model is a milestone in the theory of coherent interaction between a two-level system and a single bosonic field mode. This tutorial aims to give a complete description of the model, analyzing the Hamiltonian of the…

Quantum Physics · Physics 2012-08-21 Matteo Bina

Herein, we propose an experimentally feasible scheme to show the quantum phase transition of the Jaynes-Cummings (JC) model by modulating the transition frequency of a two-level system in a quantum Rabi model with strong coupling. By tuning…

Quantum Physics · Physics 2023-11-27 Cheng Liu , Jin-Feng Huang

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

We study the dynamics of the Jaynes-Cummings Model for an array of $N_q$ two level systems (or qubits) interacting with a quantized single mode electromagnetic cavity (or quantum bus). For an initial cavity coherent state $| \alpha >$ and…

Quantum Physics · Physics 2008-12-22 C. E. A. Jarvis , D. A. Rodrigues , B. L. Györffy , T. P. Spiller , A. J. Short , J. F. Annett

Using the algebraic dynamical method, the dynamics of entanglement in an atom-field bipartite system in a mixed state is investigated. The atomic center-ofmass motion and the field-mode structure are also included in this system. We find…

Quantum Physics · Physics 2010-07-01 Lei Tan , Zhong-Hua Zhu , Yu-Qing Zhang

A recurrence relation ansatz between annihilation operators applied to the hopping interaction term of the Jaynes-Cummings-Hubbard model (JCHM) reduces the JCHM to that of the ordinary Jaynes-Cummings model (JCM), albeit, with a boson…

Quantum Physics · Physics 2023-06-02 Moorad Alexanian

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 Jaynes--Cummings system is one of the most fundamental models of how light and matter interact. When driving the system with a coherent state (e.g. laser light), it is often assumed that whether the light couples through the cavity or…

Quantum Physics · Physics 2018-09-12 Kevin Fischer , Shuo Sun , Daniil Lukin , Yousif Kelaita , Rahul Trivedi , Jelena Vučković

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 theoretically investigate the flow of the atomic excitations in a driven chiral-coupled atomic chain with nonreciprocal decay channels. This one-dimensional system allows infinite-range dipole-dipole interaction, and enables directional…

Quantum Physics · Physics 2019-03-06 H. H. Jen

The temporal evolution of quantum statistical properties of an interacting atom-radiation field system in the presence of a classical homogeneous gravitational field is investigated within the framework of the Jaynes-Cummings model. To…

Quantum Physics · Physics 2009-11-13 M. Mohammadi , M. H. Naderi , M. Soltanolkotabi

We present a theoretical investigation of dynamical quantum phase transitions (QPTs) in a periodically driven $\Lambda$-type three-level system (3LS) embedded in a double-mode cavity, described by a three-level Jaynes-Cumming (3L-JC)…

Quantum Physics · Physics 2025-08-05 Sanjoy Mishra , Shraddha Sharma , Amit Rai , Pitamber Mahanandia

The dynamics of the Jaynes-Cummings interaction of a two-level atom interacting with a single mode of the radiation field is investigated, as the state of the field is gradually changed from a coherent state to a squeezed coherent state.…

Quantum Physics · Physics 2012-03-22 T. Subeesh , Vivishek Sudhir , A. B. M. Ahmed , M. Venkata Satyanarayana

The already very active field of cavity quantum electrodynamics (QED), traditionally studied in atomic systems, has recently gained additional momentum by the advent of experiments with semiconducting and superconducting systems. In these…

Mesoscale and Nanoscale Physics · Physics 2009-02-17 J. M. Fink , M. Goeppl , M. Baur , R. Bianchetti , P. J. Leek , A. Blais , A. Wallraff

Abbreviated Abstract: We study correlated states in a circular and linear-chain configuration of identical two-level atoms containing the energy of a single quasi-resonant photon in the form of a collective excitation, where the collective…

Quantum Physics · Physics 2007-05-23 Hanno Hammer

In the conventional theory of hopping transport the positions of localized electronic states are assumed to be fixed, and thermal fluctuations of atoms enter the theory only through the notion of phonons. On the other hand, in 1D and 2D…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. V. Plyukhin

In this paper, we study the dissipative dynamics of the Jaynes-Cummings model with phase damping in the presence of a classical homogeneous gravitational field. The model consists of a moving two-level atom simultaneously exposed to the…

Quantum Physics · Physics 2009-11-13 M. Mohammadi , M. H. Naderi , M. Soltanolkotabi

The problem of the complete transfer of quantum states and entanglement in a four qubits system composed of two single-mode cavities and two two-level atoms is investigated. The transfer of single and double excitation states is discussed…

Quantum Physics · Physics 2015-06-11 Smail Bougouffa , Zbigniew Ficek

Coupling $N$ identical emitters to the same field mode is well-established method to enhance light matter interaction. However, the resulting $\sqrt{N}$ boost of the coupling strength comes at the cost of a "linearized" (effectively…

Quantum Physics · Physics 2021-08-04 Tommaso Tufarelli , Daniel Friedrich , Heiko Groß , Joachim Hamm , Ortwin Hess , Bert Hecht

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