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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…

In the Jaynes-Cummings (JC) model, the time dependence in the coupling parameter allows changes in the forms of the Rabi oscillations. In the inverse problem approach (IPA), the time-dependent coupling parameter is obtained from the…

Quantum Physics · Physics 2025-06-02 Thiago T. Tsutsui , Antonio S. M. de Castro , Fabiano M. Andrade

In this paper, we investigate the dynamics of the Bloch vector of a single two-level atom which interacts with a single quantized electromagnetic field mode according to the Jaynes-Cummings model, where the field is initially prepared in a…

Quantum Physics · Physics 2008-06-17 Hiroo Azuma

Using the underlying su(2) algebra of the Jaynes-Cummings Model (JCM), we construct a time dependent interaction term that allows analytical solution for even off-resonance conditions. Exact solutions for the time evolution of any state has…

Quantum Physics · Physics 2011-02-11 Ananda Dasgupta

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

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…

An exact solution of the problem of two-atom one- and two-mode Jaynes-Cummings model with intensity-dependent coupling is presented. Asymptotic solutions for system state vectors are obtained in the approximation of large initial coherent…

Quantum Physics · Physics 2014-04-04 E. K. Bashkirov

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

We investigate the fractional time description of a generalized quantum light-matter system modeled by a time-dependent Jaynes-Cummings (JC) interaction, with different coupling types: constant, linear, exponential, and sinusoidal. Two…

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

We study the time evolution of the Bloch vector of the thermal multiphoton Jaynes-Cummings model (JCM). If the multiphoton JCM incorporates thermal fluctuations, its corresponding Bloch vector evolves unpredictably, traces a disordered…

Quantum Physics · Physics 2025-05-23 Hiroo Azuma

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

The Dirac oscillator is a relativistic quantum system, characterized by its linearity in both position and momentum. Moreover, considering $(1{+}1)$ and $(2{+}1)$ dimensions, the system can be mapped onto the Jaynes-Cummings and…

Quantum Physics · Physics 2025-12-23 Thiago T. Tsutsui , Alison A. Silva , Antonio S. M. de Castro , Fabiano M. Andrade

By utilizing the property of the supersymmetric structure in the two-level multiphoton Jaynes-Cummings model, an invariant is constructed in terms of the supersymmetric generators by working in the sub-Hilbert-space corresponding to a…

Mathematical Physics · Physics 2015-06-26 Jian-Qi Shen , Hong-Yi Zhu , Hong Mao

We study the dynamics of a single control atom and an atomic sample interacting with a nonresonant cavity mode. The control atom is driven by an auxiliary classical field. Under certain conditions, the coherent energy exchange between the…

Quantum Physics · Physics 2012-05-20 Shi-Biao Zheng

The time-evolution operator corresponding to the fractional-time Schr\"odinger equation is nonunitary because it fails to preserve the norm of the vector state in the course of its evolution. However, in the context of the time-dependent…

Quantum Physics · Physics 2025-02-05 Danilo Cius

In this paper, the 2+1 Dirac-Moshinsky oscillator (2+1 DMO) coupled to an external isospin field is mapped onto the Jaynes-Cummings model (JCM), which describes the interaction between two two-level systems and a quantum single-mode field.…

Quantum Physics · Physics 2019-04-23 A. S. -F. Obada , M. M. A. Ahmed , M. Abu-Shady , H. F. Habeba

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
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