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A class of shape-invariant bound-state problems which represent transition in a two-level system introduced earlier are generalized to include arbitrary energy splittings between the two levels as well as intensity-dependent interactions.…

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

A cavity quantum electrodynamical scenario is proposed for implementing a Schr\"odinger microscope capable of amplifying differences between non orthogonal atomic quantum states. The scheme involves an ensemble of identically prepared…

A dynamic procedure is established within the generalised Tavis-Cummings model to generate light states with discrete point symmetries, given by the cyclic group ${\cal C}_n$. We consider arbitrary dipolar coupling strengths of the atoms…

Quantum Physics · Physics 2018-01-10 S. Cordero , E. Nahmad-Achar , O. Castaños , R. López-Peña

Integrated photonics has been a promising platform for analog quantum simulation of condensed matter phenomena in strongly correlated systems. To that end, we explore the implementation of all-photonic quantum simulators in coupled cavity…

Individual quantum systems may be interacting with surrounding environments having a small number of degrees of freedom. It is therefore relevant to understand the extent to which such small (but uncontrollable) environments could affect…

Quantum Physics · Physics 2021-08-17 G. L. Deçordi , A. Vidiella-Barranco

Widely used in atomic and superconducting qubit systems, the Jaynes-Cummings (JC) Hamiltonian is a simple, yet powerful model for a two-level system interacting with a quantum harmonic oscillator. In this paper, we focus on a system of n…

Quantum Physics · Physics 2025-07-29 Plato Deliyannis , Iman Marvian

The entanglement of two dipole-coupled atoms with nondegenerate two-photon transitions interacting with two-mode field in lossless cavity has been investigated. It shows that the entanglement is dependent on the initial atomic states. The…

Quantum Physics · Physics 2012-10-16 E. K. Bashkirov , M. S. Mastuygin

Experiments have demonstrated that the strong light-matter coupling in polaritonic microcavities significantly enhances transport. Motivated by these experiments, we have solved the disordered multimode Tavis-Cummings model in the…

Optics · Physics 2023-06-01 Georg Engelhardt , Jianshu Cao

We develop a theoretical framework to evaluate the energy spectrum, stationary states, and dielectric susceptibility of two Jaynes-Cummings systems coupled together by the overlap of their respective longitudinal field modes, and we solve…

Quantum Physics · Physics 2012-02-24 Peng Xue , Zbigniew Ficek , Barry C. Sanders

The Tavis-Cummings model (the Dicke model treated in the rotating wave approximation) describing many two-level systems coupled to a single bosonic mode, has been long known to show collective semiclassical oscillations when prepared in an…

Strongly Correlated Electrons · Physics 2009-05-16 Jonathan Keeling

We develop a new spectroscopic method to quickly and intuitively characterize the coupling of two microwave-photon-coupled semiconductor qubits via a high-impedance resonator. Highly distinctive and unique geometric patterns are revealed as…

Mesoscale and Nanoscale Physics · Physics 2020-11-10 Bao-Chuan Wang , Ting Lin , Hai-Ou Li , Si-Si Gu , Ming-Bo Chen , Guang-Can Guo , Hong-Wen Jiang , Xuedong Hu , Gang Cao , Guo-Ping Guo

An ensemble of identical, intrinsically non-interacting molecules exposed to quantum light is discussed. Their interaction with the quantum light induces interactions between the molecules. The resulting hybrid light-matter states exhibit…

Chemical Physics · Physics 2024-06-19 Lorenz S. Cederbaum

$\mathcal{N}$ emitters collectively coupled to a quantised cavity mode are described by the Tavis-Cummings model. We present complete analytical solution of the model in the presence of inhomogeneous couplings and energetic disorder. We…

Quantum Gases · Physics 2022-12-29 M. Ahsan Zeb

The supersymmetric connection that exists between the Jaynes-Cummings (JC) and anti-Jaynes Cummings (AJC) models in quantum optics is unraveled entirely. A new method is proposed to obtain the temporal evolution of observables in the AJC…

Interaction among harmonic oscillators described by a trilinear Hamiltonian $\hbar \xi (a^{\dagger} b c + a b^{\dagger} c^{\dagger}$) is one of the most fundamental models in quantum optics. By employing the anharmonicity of the Coublomb…

Quantum Physics · Physics 2018-10-03 Shiqian Ding , Gleb Maslennikov , Roland Hablützel , Dzmitry Matsukevich

We study the quantum dynamics of a single mode/particle interacting inhomogeneously with a large number of particles and introduce an effective approach to find the accessible Hilbert space where the dynamics takes place. Two relevant…

Quantum Physics · Physics 2015-06-26 C. E. Lopez , H. Christ , J. C. Retamal , E. Solano

We consider theoretically a driven-dissipative quantum many-body system consisting of an atomic ensemble in a single-mode optical cavity as described by the open Tavis-Cummings model. In this hybrid light-matter system the interplay between…

Quantum semitoric systems form a large class of quantum Hamiltonian integrable systems with circular symmetry which has received great attention in the past decade. They include systems of high interest to physicists and mathematicians such…

Spectral Theory · Mathematics 2014-08-05 Yohann Le Floch , Álvaro Pelayo , San Vu Ngoc

Static properties of an anharmonic potential model for planar two-electron quantum dots are investigated using a method which allows for the exact representation of the matrix elements, including the full Coulombic electron - electron…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Sebastian Schröter , Paul-Antoine Hervieux , Giovanni Manfredi , Johannes Eiglsperger , Javier Madroñero

We consider a coupled atom-photon system described by the Tavis-Cummings dimer (two coupled cavities) in the presence of photon loss and atomic pumping, to investigate the quantum signature of dissipative chaos. The appropriate classical…

Quantum Gases · Physics 2025-05-28 Debabrata Mondal , Andrey Kolovsky , S. Sinha