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We investigate the interaction of strongly correlated electrons with phonons in the frame of the Hubbard-Holstein model. The electron-phonon interaction is considered to be strong and is an important parameter of the model besides the…

Strongly Correlated Electrons · Physics 2009-11-07 V. A. Moskalenko , P. Entel , M. Marinaro , D. F. Digor

Using the underlying su(2) algebra of the Jaynes-Cummings Model (JCM), we construct a time dependent interaction term that allows analytical solution for even off-resonance conditions. Exact solutions for the time evolution of any state has…

Quantum Physics · Physics 2011-02-11 Ananda Dasgupta

We present a detailed theoretical study of non-Markovian dynamics in the fluorescence spectrum of a driven semiconductor quantum dot (QD), embedded in a cavity and coupled to a three-dimensional (3D) acoustic phonon reservoir. In…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Abhishek Kumar

We study the dynamics of the photon entanglement, $E_{\mathrm{N}}(t)$, for the two-mode Jaynes-Cummings model in the few-photon case. The atomic transitions associated with the photons with different polarizations are assumed to be…

Mesoscale and Nanoscale Physics · Physics 2012-02-06 Mikhail Erementchouk , Michael N. Leuenberger

Polaron and bipolaron formation in the Holstein-Hubbard model with harmonic confinement potential, relevant to quantum dot structures, is investigated in one to three dimensions by means of unbiased quantum Monte Carlo simulations. The…

Strongly Correlated Electrons · Physics 2007-06-13 Martin Hohenadler , Holger Fehske

The influence of electron--phonon interactions on the dynamics of a quantum dot coupled to a photonic cavity mode is investigated using a nonequilibrium Green's function approach. Within a polaron frame, the self-consistent-Born…

Mesoscale and Nanoscale Physics · Physics 2017-01-11 Gaston Hornecker , Alexia Auffèves , Thomas Grange

The Jaynes-Cummings Hamiltonian is at the core of cavity quantum electrodynamics, and is ubiquitous in a variety of quantum technologies. The ability to implement and control the various aspects of this Hamiltonian is thus of paramount…

Quantum Physics · Physics 2023-02-06 Aviv Karnieli , Shanhui Fan

Here we study the effect of decoherence on elastic and polaronic transport via discrete quantum states. The calculations are performed with the help of nonperturbative computational scheme, based on the Green's function theory within the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Kamil Walczak

We present a study on manipulation and enhancement of multiphoton bundles emission under a moderate atom-cavity coupling, by constructing a two-photon Jaynes-Cummings model integrated with Kerr nonlinearity in a single atom-cavity system.…

Quantum Physics · Physics 2024-09-04 Jing Tang , Yuangang Deng

The quantum phase transition between a repulsive Luttinger liquid and an insulating Peierls state is studied in the framework of the one-dimensional spinless Holstein model. We focus on the adiabatic regime but include the full quantum…

Strongly Correlated Electrons · Physics 2011-03-08 Martin Hohenadler , Holger Fehske , Fakher F. Assaad

We present the first numerically exact study of a polaron with quadratic coupling to the oscillator displacement, using two alternative methodological developments. Our results cover both anti-adiabatic and adiabatic regimes and the entire…

We present a semi-analytic and asymptotically exact solution to the problem of phonon-induced decoherence in a quantum dot-microcavity system. Particular emphasis is placed on the linear polarization and optical absorption, but the approach…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 A. Morreau , E. A. Muljarov

Characterizing bipolaron binding, and understanding how it depends on electron-phonon interaction, is crucial to unraveling the nature of emergent many-body states in strongly interacting electron-phonon systems. So far, most studies of…

Strongly Correlated Electrons · Physics 2025-02-19 Filip Marijanović , Yi-Fan Qu , Eugene Demler

We solve the disordered Holstein model in three dimensions considering the phonon variables to be classical. After mapping out the phases of the `clean' strong coupling problem, we focus on the effect of disorder at strong electron-phonon…

Strongly Correlated Electrons · Physics 2009-11-10 Sanjeev Kumar , Pinaki Majumdar

We study the effects of anharmonicity on the physics of the Holstein model, which describes the coupling of itinerant fermions and localized quantum phonons, by introducing a quartic term in the phonon potential energy. We find that the…

Strongly Correlated Electrons · Physics 2021-06-01 G. Paleari , F. Hébert , B. Cohen-Stead , K. Barros , R. T. Scalettar , G. G. Batrouni

A many-body coherent potential approximation (CPA) previously developed for the double exchange (DE) model is extended to include coupling to local quantum phonons. The Holstein-DE model studied (equal to the Holstein model for zero Hund…

Strongly Correlated Electrons · Physics 2009-10-31 A. C. M. Green

The paradigmatic spin-boson model considers a spin degree of freedom interacting with an environment typically constituted by a continuum of bosonic modes. This ubiquitous model is of relevance in a number of physical systems where, in…

Quantum Physics · Physics 2019-05-22 R. Puebla , G. Zicari , I. Arrazola , E. Solano , M. Paternostro , J. Casanova

With the Jaynes-Cummings model, we have studied the atom and light field quantum entanglement of multiphoton transition, and researched the effect of initial state superposition coefficient $C_{1}$, the transition photon number $N$, the…

Optics · Physics 2018-01-17 Xiao-Jing Liu , Jing-Bin Lu , Si-Qi Zhang , Ji-Ping Liu , Hong Li , Yu Liang , Ji Ma , Xiang-Yao Wu

We show that the saturation of a multiphoton transition is accompanied by a gradual collapse of quantum multimodality in the strong-coupling limit of the weakly driven Jaynes-Cummings (JC) model. By means of a perturbative method, we…

Quantum Physics · Physics 2022-07-15 Th. K. Mavrogordatos

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