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It is shown that the atomic inversion in the Jaynes-Cummings model has an exact representation as an integral over the Hankel contour. For a field in a coherent state, the integral is evaluated using the saddle point method. The…

Quantum Physics · Physics 2024-01-11 S. I. Pavlik

In this paper we study the interaction between two-level atom and quantized single-mode field, namely, Jaynes-Cummings model (JCM). The field and the atom are initially prepared in the binomial state and the excited atomic state,…

Quantum Physics · Physics 2008-11-26 Faisal A. A. El-Orany

We present a mathematical procedure which leads us to obtain analytical solutions for the atomic inversion and Wigner function in the framework of the Jaynes-Cummings model with an external quantum field, for any kinds of cavity and driving…

Quantum Physics · Physics 2008-11-26 Marcelo A. Marchiolli , Ricardo J. Missori , Jose A. Roversi

We develop a systematic method of solving two non-interacting Jaynes-Cummings models by using the dressed state formalism in Hilbert space $\mathcal{H}_{AB}^{(2\otimes2)}$. It is shown that such model, called Double Jaynes-Cummings model…

Quantum Physics · Physics 2019-02-12 Surajit Sen , Tushar Kanti Dey , Mihir Ranjan Nath

In this paper we consider a system consisting of a two-level atom in an excited state interacting with two modes of a radiation field prepared initially in $l$-photon coherent states. This system is described by two-mode multiphoton (,…

Quantum Physics · Physics 2015-05-13 Faisal A A El-Orany

Temporal evolution of atomic properties including the population inversion and quantum fluctuations of atomic dipole variables are discussed in three various variants of two-photon q-deformed Jaynes-Cummings model.With the the field…

Quantum Physics · Physics 2009-11-10 M. H. Naderi , M. Soltanolkotabi , R. Roknizadeh

In this paper we consider a system consisting of a two-level atom, initially prepared in a coherent superposition of upper and lower levels, interacting with a radiation field prepared in generalized quantum states in the framework of…

Quantum Physics · Physics 2015-05-13 Faisal A. A. El-Orany

For multiphoton intensity-dependent Jaynes-Cummings model (JCM), which is described by two-level atom interacting with a radiation field, we prove that there is a relationship between the atomic inversion and the quadrature squeezing. We…

Quantum Physics · Physics 2015-05-14 Faisal A A El-Orany

We study the generalized Jaynes-Cummings model of quantum optics at the inversion-symmetry-breaking and in the ultrastrong coupling regime. With the help of a generalized multiphoton rotating-wave approximation, we study the stationary…

Quantum Physics · Physics 2015-06-16 H. K. Avetissian , G. F. Mkrtchian

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 semiclassical approximation of coherent state path integrals is employed to study the dynamics of the Jaynes-Cummings model. Decomposing the Hilbert space into subspaces of given excitation quanta above the ground state, the…

Quantum Physics · Physics 2009-11-06 Adrian Alscher , Hermann Grabert

The phenomenological two-level atom is re-analysed using the methods of effective field theory. By presenting the Dicke-Jaynes-Cummings model in real space, an exact diagonalization is accomplished going beyond the rotating wave…

Quantum Physics · Physics 2007-05-23 Mark Burgess

The effect of quantum collapse and revival is a fascinating interference phenomenon. In this paper the phenomenon is demonstrated analytically and numerically for a simple system, a slightly anharmonic Hamiltonian. The initial wave-function…

Quantum Physics · Physics 2017-06-28 Alexandra Bakman , Hagar Veksler , Shmuel Fishman

An exact density matrix of a phase-damped Jaynes - Cummings model (JCM) with entangled Bell-like initial states formed from a model two-state atom and sets of adjacent photon number states of a single mode radiation field is presented. The…

Quantum Physics · Physics 2009-11-10 R. W. Rendell , A. K. Rajagopal

In this paper we study the evolution of the two two-level atoms interacting with a single-mode quantized radiation field, namely, two-atom multiphoton Jaynes-Cummings model when the radiation field and atoms are initially prepared in the…

Quantum Physics · Physics 2007-05-23 Faisal Aly Aly El-Orany

We find that a suppression of the collapse and revival of population inversion occurs in response to insertion of Gaussian quenched disorder in atom-cavity interaction strength in the Jaynes-Cummings model. The character of suppression can…

Quantum Physics · Physics 2021-05-28 Ahana Ghoshal , Sreetama Das , Aditi Sen De , Ujjwal Sen

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

An inversion method is formulated for extracting entanglement-related information on two-particle interactions in a one-dimensional system from measurable one-particle position- and momentum-distribution functions. The method is based on a…

Quantum Physics · Physics 2017-01-31 I. Nagy , M. L. Glasser

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

In this paper, we study the interaction between the two-level atom and a bimodal cavity field, namely, two-mode Jaynes-Cummings model when the atom and the modes are initially in the atomic superposition state and two-mode squeezed vacuum…

Quantum Physics · Physics 2009-11-13 Faisal A. A. El-Orany , S. Abdel-Khalek , M. Abdel-Aty , M. R. B. Wahiddin
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