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Related papers: Solutions to the Jaynes-Cummings model without the…

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We study the quantum dynamics of a two-level system interacting with a quantized harmonic oscillator in the deep strong coupling regime (DSC) of the Jaynes-Cummings model, that is, when the coupling strength g is comparable or larger than…

Quantum Physics · Physics 2010-12-27 J. Casanova , G. Romero , I. Lizuain , J. J. Garcia-Ripoll , E. Solano

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

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

In this work, an efficient approximation scheme has been proposed for getting accurate approximate solution of nonlinear partial differential equations with constant or variable coefficients satisfying initial conditions in a series of…

Analysis of PDEs · Mathematics 2020-09-04 Prakash Kumar Das , M. M. Panja

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

We analyze the driven resonantly coupled Jaynes-Cummings model in terms of a quasienergy approach by switching to a frame rotating with the external modulation frequency and by using the dressed atom picture. A quasienergy surface in phase…

Superconductivity · Physics 2015-05-19 V. Peano , M. Thorwart

Jaynes-Cummings Hamiltonian provides the elemental description of a two-level system interacting with a photonic mode. In this Article, we derive an expression for the transmission response via a photonic signal that describes the…

Quantum Physics · Physics 2025-03-11 V. F. Maisi

In this work, we present a multiple-scale perturbation technique suitable for the study of open quantum systems, which is easy to implement and in few iterative steps allows us to find excellent approximate solutions. For any time-local…

Quantum Physics · Physics 2019-04-30 D. N. Bernal-García , B. A. Rodríguez , H. Vinck-Posada

We develop a modified semi-classical approach to the approximate solution of Schrodinger's equation for certain nonlinear quantum oscillations problems. At lowest order, the Hamilton-Jacobi equation of the conventional semi-classical…

Mathematical Physics · Physics 2015-06-03 Vincent Moncrief , Antonella Marini , Rachel Maitra

In this work we present a formal solution of the extended version of the Friedrichs Model. The Hamiltonian consists of discrete and continuum bosonic states, which are coupled to fermions. The simultaneous treatment of the couplings of the…

Nuclear Theory · Physics 2008-11-26 O. Civitarese , M. Gadella , G. P. Pronko

Quantum sensing improves the accuracy of measurements of relevant parameters by exploiting the unique properties of quantum systems. The divergent susceptibility of physical systems near a critical point for quantum phase transition enables…

Quantum Physics · Physics 2023-07-27 Jia-Hao Lü , Wen Ning , Xin Zhu , Fan Wu , Li-Tuo Shen , Zhen-Biao Yang , Shi-Biao Zheng

Universal photon blockade in a two-mode Jaynes-Cummings model incorporating third-order Kerr nonlinearity is demonstrated with a single two-level atom coupled to a waveguide microcavity. Realization of this universal photon blockade is…

Quantum Physics · Physics 2026-04-07 Guohao Chang , Hunduz Halemjan , Shangyun Liu , Raziya Anwar , Ahmad Abliz

A family of random models for bosonic quasi-particle excitations, e.g. the vibrations of a disordered solid, is introduced. The generator of the linearized phase space dynamics of these models is the sum of a deterministic and a random…

Mathematical Physics · Physics 2010-12-24 S. E. Schmittner , M. R. Zirnbauer

In the analytic-Bargmann representation associated with the harmonic oscillator and spin coherent states, the wavefunction as entire complex functions can be factorized in terms of their zeros in a unique way. The Schr\"odinger equation of…

High Energy Physics - Theory · Physics 2008-02-03 Demosthenes Ellinas , Vassilios Kovanis

We propose an explicit construction of the stationary state of Extended Bipartite Matching (EBM) models, as defined in (Busic et. al., 2013). We use a Loynes-type backwards scheme similar in flavor to that in (Moyal et al., 2017), allowing…

Probability · Mathematics 2018-03-08 Pascal Moyal , Ana Busic , Jean Mairesse

Coherent states, being the closest analog to classical states of wave systems, are well known to possess special properties that set them apart from most other quantum optical states. For example, they are robust against photon loss and do…

Quantum Physics · Physics 2024-09-20 Saumya Biswas , Amrit De , Avik Dutt

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

A class of shape-invariant bound-state problems which represent two-level systems are introduced. It is shown that the coupled-channel Hamiltonians obtained correspond to the generalization of the Jaynes-Cummings Hamiltonian.

Quantum Physics · Physics 2008-11-26 A. N. F. Aleixo , A. B. Balantekin , M. A. Candido Ribeiro

We show that solutions for a specifically scaled nonlinear wave equation of nonlinear elasticity converge to solutions of a linear Euler-Bernoulli beam system. We construct an approximation of the solution, using a suitable asymptotic…

Analysis of PDEs · Mathematics 2022-07-27 Helmut Abels , Tobias Ameismeier

We present a semi-analytical framework for studying interactions between quantum emitters and general electromagnetic resonators. The method relies on the Lippmann-Schwinger equation to calculate the complex resonance frequencies of the…