外場中雙光子Jaynes-Cummings 模型的統計性質

夏立新, 曾高堅, 楊國建

Published Sep 30, 2004• 0 citations

Abstract

Studied a two-photon Jaynes-Cummings model in an extemal field. The interaction between the atom system and the external field is regarded as a perturbation. Using the perturbation theory, we obtain its wave functions up to the first-order, and discuss the photon number distribution of the cavity field and the population inversion of the atom in the system.

Related papers

The Statistic Properties of a Two-Photon Jaynes-Cummings Model in an External Field

Xia Lixin, Zeng Gao-jian

Studied a two-photon Jaynes-Cummings model in an external field. The interaction between the atom system and the external field is regarded as a perturbation. Using the perturbation theory, we obtain its wave functions up to the first-order, and discuss the photon number distribution of the cavity field and the population inversion of the atom in the system.

Hu'nan Shifan Daxue xuebao. Ziran kexue banJan 1, 20040 citations

The Energy-level Configuration of Jaynes-Cummings Model in An External Field

Fei Zeng

We study a atomic system coupled to a quantum field and an external classical field at the same time. The interaction betwere the atom and the external field is regarded as a perturbation. Using perturbation theory to solve the energy-level configuration of this quantum system, where the first-order are zero, and the second-order are proportionate to the second power of the coupling constant betwere the atom and the external field.

Journal of Hunan University of Science and EngineeringJan 1, 20040 citations

Field statistics in some generalized Jaynes-Cummings models

Surendra Singh

Photon statistics in some fully quantized models of the interaction of a two-level atom with a single-mode radiation field have been studied using the operator equations of motion. Expressions for the photon number distribution and the mean photon number are presented for various initial conditions. It is found that the mean photon number may show decays and revivals of coherence similar to those of the atomic inversion in the coherent-state Jaynes-Cummings model. Application of these models to the study of multiphoton laser, absorption, and emission processes is also discussed.

Physical Review AJun 1, 1982221 citations

Interaction of a Two-Level Atom with the Morse Potential in the Framework of Jaynes–Cummings Model

Mohammad Reza Setare, Sh. Barzanjeh

A theoretical study of the dynamical behaviors of the interaction between a two-level atom with a Morse potential in the framework of the Jaynes–Cummings model (JCM) is discussed. We show that this system is equivalent to an intensity-dependent coupling between the two-level atom and the non-deformed single-mode radiation field in the presence of an additional nonlinear interaction. We study the dynamical properties of the system such as, atomic population inversion, the probability distribution of cavity-field, the Mandel parameter and atomic dipole squeezing. It is shown how the depth of the Morse potential can be affected by non-classical properties of the system. Moreover, the temporal evolution of the Husimi-distribution function is explored.

Chinese Physics LettersSep 1, 20092 citations

The damped Jaynes–Cummings model

Stephen Mark Barnett, John Jeffers

The dynamics of the much studied Jaynes–Cummings model, of a single two-level atom interacting with a single quantized field mode, is simple to solve for because the number of quanta in the system is strictly conserved. Including the effects of cavity damping makes the model significantly more difficult to treat. Here we present a simple derivation of the evolution of the atomic inversion in the presence of cavity damping. This will enable us to explain the physical meaning of the solution, first derived more than 20 years ago, and also to show that it is valid for much stronger damping than was appreciated at that time.

Journal of Modern OpticsSep 10, 200718 citations

Paralelo entre as teorias quântica e semi-clássica da interação átomo-campo no modelo Jaynes-Cummings

Luísa. A. P. Filpi

We studied a very simple model of the interaction between radiation and matter, named Jaynes-Cummings model. Matter is represented by an atom, treated as a two level system, which interacts with one single mode of the electromagnetic field. We looked at the problem in two different ways: first, treating both systems as quantum and later, considering the field as classical and the atom as quantum. In particular,we concentrate in obtaining the population inversion in both cases. In the context of semiclassical theory, we still used two distinct approachs: one, taking into account the field reaction of the atom and, the other, ignoring any effect of the atom onto the field. We verified that the first gives a more realistic description than the second because it accounts for spontaneous emission by the atom. We still included the environment on the description of both quantum and classical dynamics.

Jan 1, 20090 citations