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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

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

A two level system resonantly coupled to a single mode cavity field and subject to ground state occupancy measurement like interaction is considered. For this situation, the solution to the Lindblad master equation for the density matrix is…

Quantum Physics · Physics 2007-10-22 Vikram Athalye

We investigate a generalized Jaynes-Cummings model with the external field driving the cavity mode. The numerical results for the dynamics of the atom and the cavity field mode are given. Approximated solutions to the Schrodinger equation…

Quantum Physics · Physics 2012-12-14 B. Tuguldur , Ts. Gantsog

We follow a generalized kinematic approach to compute the geometric phases acquired in both unitary and dissipative Jaynes-Cummings models, which provide a fully quantum description for a two-level system interacting with a single mode of…

Quantum Physics · Physics 2022-02-25 Ludmila Viotti , Fernando C. Lombardo , Paula I. Villar

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

When the photonic mode in the Jaynes-Cummings model is driven by an external classical field, the system can undergo the photon-blockade breakdown phase transition at a critical point. Such a phase transition has been detailedly…

Quantum Physics · Physics 2026-02-10 Ken Chen , Jia-Hao Lv , Hao-Long Zhang , Fan Wu , Wen Ning , Zhen-Biao Yang , Shi-Biao Zheng

By introducing thermal entangled state representation which can map master equations of density operator in quantum statistics as state vector evolution equations and using dissipative interaction picture we solve the master equation of J-C…

Quantum Physics · Physics 2014-02-12 Seyed Mahmoud Ashrafi , Mohammad Reza Bazrafkan

The article concerns damped driven Jaynes-Cummings equation which describes quantised one-mode Maxwell field coupled to a two-level molecule. We consider a broad class of damping and pumping which are polynomial in the creation and…

Analysis of PDEs · Mathematics 2026-03-19 A. I. Komech , E. A. Kopylova

Random-matrix eigenvalues have a well-known interpretation as a gas of like-charge particles. We make use of this to introduce a model of vortex dynamics by defining a time-dependent wave function as the characteristic polynomial of a…

Mathematical Physics · Physics 2018-12-12 Anthony Mays , Anita K. Ponsaing , David M. Paganin

We introduce two generalizations of the Jaynes-Cummings (JC) model for two modes of oscillation. The first model is formed by two Jaynes-Cummings interactions, while the second model is written as a simultaneous Jaynes-Cummings and…

Mathematical Physics · Physics 2017-11-07 E. Choreño , D. Ojeda-Guillén , M. Salazar-Ramírez , V. D. Granados

I describe the Time-Dependent Superfluid Local Density Approximation, which is an adiabatic extension of the Density Functional Theory to superfluid Fermi systems and their real-time dynamics. This new theoretical framework has been applied…

Quantum Gases · Physics 2013-06-18 Aurel Bulgac

The ground states and collective excitations of trapped Fermion gases consisting of atoms with magnetic dipole moment are studied using a time-dependent density-matrix approach. The advantages of the density-matrix approach are that…

Quantum Gases · Physics 2015-06-16 Mitsuru Tohyama

The eigenvalue probability density function of the Gaussian unitary ensemble permits a $q$-extension related to the discrete $q$-Hermite weight and corresponding $q$-orthogonal polynomials. A combinatorial counting method is used to specify…

Probability · Mathematics 2024-04-05 Sung-Soo Byun , Peter J. Forrester , Jaeseong Oh

In this paper, we develop the notion of the marginal and density atomic Wehrl entropies for two-level atom interacting with the single mode field, i.e. Jaynes-Cummings model. For this system we show that there are relationships between…

Quantum Physics · Physics 2009-11-13 Faisal A. A. El-Orany

The time-dependence of the quantum entropy for a two-level atom interacting with a single-cavity mode is computed using the Jaynes-Cummings model, when the initial state of the radiation field is prepared in a thermal state with temperature…

Quantum Physics · Physics 2022-01-26 Jorge David Castaño-Yepes

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

Generation of Wigner functions of Landau levels and determination of their symmetries and generic properties are achieved in the autonomous framework of deformation quantization. Transformation properties of diagonal Wigner functions under…

Quantum Physics · Physics 2009-11-07 B. Demircioglu , A. Vercin

We generally study the density of eigenvalues in unitary ensembles of random matrices from the recurrence coefficients with regularly varying conditions for the orthogonal polynomials. First we calculate directly the moments of the density.…

Mathematical Physics · Physics 2008-10-31 Dang-Zheng Liu , Zheng-Dong Wang , Kui-Hua Yan

We derive an elegant solution for a two-level system evolving adiabatically under the influence of a driving field with a time-dependent phase, which includes open system effects such as dephasing and spontaneous emission. This solution,…

Quantum Physics · Physics 2007-05-23 Ingo Kamleitner , James D. Cresser , Barry C. Sanders
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