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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 consider a two-level system such as a two-level atom, interacting with a cavity field mode in the rotating wave approximation, when the atomic transition frequency or the field mode frequency is periodically driven in time. We show that…

In this paper, the non-Markovian dissipative dynamics of the phase damped Jaynes-Cummings model in the presence of a classical homogeneous gravitational field will be analyzed. The model consists of a moving two-level atom simultaneously…

Quantum Physics · Physics 2015-05-13 M. Mohammadi

In this paper we consider multimode multiphoton Jaynes-Cummings model, which consists of a two-level atom, initially prepared in an excited atomic state, interacting with $N$ modes of electromagnetic field prepared in general pure quantum…

Quantum Physics · Physics 2009-11-13 Faisal Aly Aly El-Orany

We analyze here a nonclassical state produced by an atom-cavity field interaction. The two-level atom is passed through the single-mode electromagnetic cavity field. By deforming the field operators and introducing nonlinearity to the…

Quantum Physics · Physics 2023-04-14 Naveen Kumar , Deepak , Arpita Chatterjee

Adopting the framework of the Jaynes-Cummings model with an external quantum field, we obtain exact analytical expressions of the normally ordered moments for any kind of cavity and driving fields. Such analytical results are expressed in…

Quantum Physics · Physics 2007-05-23 Marcelo Aparecido Marchiolli

In this paper we study a two-photon time-dependent Jaynes-Cummings model interacting with a Kerr-like medium. We assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the…

Quantum Physics · Physics 2015-06-26 Guido Berlin , J. Aliaga

The interaction between a two-level atom and the finite two-dimensional oscillator in the Cartesian coordinate system is addressed. The construction of the coupling between the degenerate energy states of the finite oscillator and the two…

Quantum Physics · Physics 2025-09-10 Alejandro R. Urzúa

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 study the exact solutions of the cascade three-level atom interacting with a single mode classical and quantized field with different initial conditions of the atom. For the semiclassical model, it is found that if the atom is initially…

Quantum Physics · Physics 2007-11-27 Mihir Ranjan Nath , Surajit Sen , Gautam Gangopadhyay

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

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 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

We study analytically and numerically the properties of Jaynes-Cummings model under monochromatic driving. The analytical results allow to understand the regime of two branches of multi-photon excitation in the case of close resonance…

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

We investigate the time evolution of statistical properties of a single mode radiation field after its interaction with a two-level atom. The entire system is described by a dispersive Jaynes-Cummings Hamiltonian assuming the atomic state…

Quantum Physics · Physics 2020-12-07 C. J. S. Ferreira , C. Valverde , B. Baseia

Dynamics of atom-field correlations and single-mode nonclassicalities present in the resonant Jaynes-Cummings model are investigated using negativity and entanglement potential for a set of initial states. The study has revealed the…

Quantum Physics · Physics 2022-06-29 Sriram Akella , Kishore Thapliyal , H S Mani , Anirban Pathak

This work presents a pedagogical and self-contained derivation of the first-order effective Hamiltonian for the two-mode Jaynes-Cummings model in the dispersive regime. A perturbative unitary transformation removes nonresonant atom-field…

Quantum Physics · Physics 2026-01-27 Alejandro R. Urzúa

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

We introduce a dynamical system that instead of exchanging a single photon as in the atomic system of the usual Jaynes-Cummings model (JCM), it exchanges instead a squeezed coherent photon. Accordingly, the creation and annihilation photon…

Quantum Physics · Physics 2022-12-26 Moorad Alexanian