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We developed a new method based on functional integration to treat the dynamics of polarons in one-dimensional systems. We treat the acoustical and the optical case in an unified manner, showing their differences and similarities. The…

Condensed Matter · Physics 2009-10-22 A. H. Castro Neto , A. O. Caldeira

A conduction electron (or hole) together with its self-induced polarisation in a polar semiconductor or an ionic crystal forms a quasi-particle, which is called a polaron. The polaron concept is of interest, not only because it describes…

Strongly Correlated Electrons · Physics 2007-05-23 J. T. Devreese

In this work, a new theoretical approach to study the non-equilibrium transport properties of nanoscale systems coupled to metallic electrodes with strong electron-phonon interactions is presented. The proposed approach consists in a…

Mesoscale and Nanoscale Physics · Physics 2013-07-31 R. Seoane Souto , A. Levy Yeyati , A. Martín-Rodero , R. C. Monreal

The four-dimensional nonlinear model is extended to include the inter-channel stimulated Raman scattering, enabling accurate prediction of dual-polarization four-dimensional modulation formats and probabilistically shaped constellations in…

Signal Processing · Electrical Eng. & Systems 2025-09-15 Zhiwei Liang , Bin Chen , Jiwei Xu , Yi Lei , Qingqing Hu , Fan Zhang , Gabriele Liga

A system of harmonic oscillators coupled via nonlinear interaction is a fundamental model in many branches of physics, from biophysics to electronics and condensed matter physics. In quantum optics, weak nonlinear interaction between light…

Quantum Physics · Physics 2017-10-24 Shiqian Ding , Gleb Maslennikov , Roland Hablutzel , Huanqian Loh , Dzmitry Matsukevich

We investigate the influence of electron-phonon coupling on the superexchange interaction of magnetic insulators. Both the Holstein-Hubbard model where the phonons couple to the electron density, as well as an extended Su, Schrieffer,…

Condensed Matter · Physics 2009-10-28 W. Stephan , M. Capone , M. Grilli , C. Castellani

We describe quantum entanglement inherent to the polaron ground states of coupled electron-phonon (or, more generally, particle-phonon) systems based on a model comprising both local (Holstein-type) and nonlocal (Peierls-type) coupling. We…

Other Condensed Matter · Physics 2008-12-11 Vladimir M. Stojanovic , Mihajlo Vanevic

We propose an analytical procedure to fully solve a two-level system coupled to phonons. Instead of using the common formulation in terms of linear and quadratic system-phonon couplings, we introduce different phonons depending on the…

Quantum Physics · Physics 2019-01-10 Aurélia Chenu , Shiue-Yuan Shiau , Monique Combescot

In this paper we apply variational energy band theory to a form of the Holstein Hamiltonian in which the influence of lattice vibrations (optical phonons) on both local site energies (local coupling) and transfers of electronic excitations…

Condensed Matter · Physics 2009-10-28 Yang Zhao , David W. Brown , Katja Lindenberg

In the context of the massless Nelson model, we prove that two non-relativistic nucleons interacting with a massless meson field do not bind when a sufficiently strong Coulomb repulsion between the nucleons is added to the Hamiltonian. The…

Mathematical Physics · Physics 2018-07-31 Gonzalo A. Bley

We consider the formation and stability of the vibronic polaron arising in a degenerate or nearly degenerate electronic system coupled to an appropriate vibrational mode. We define the electron-phonon coupling as a mixing of the electronic…

Materials Science · Physics 2007-05-23 Mladen Georgiev

In this work we explore how nonlinear modes described by a dispersive wave equation (in our example, the nonlinear Schrodinger equation) and localized in a few wells of a periodic potential can act analogously to a chain of coupled…

Pattern Formation and Solitons · Physics 2013-04-30 T. J. Alexander , D. Yan , P. G. Kevrekidis

On the basis of the two-site polaron problem, which we solve by exact diagonalization, we analyse the spectral properties of polaronic systems in view of discerning localized from itinerant polarons and bound polaron pairs from an ensemble…

Strongly Correlated Electrons · Physics 2009-10-30 E. V. L. de Mello , J. Ranninger

We present a first-principles derivation of the variational equations describing the dynamics of the interaction of a spatial soliton and a surface plasmon polariton (SPP) propagating along a metal/dielectric interface. The variational…

Pattern Formation and Solitons · Physics 2015-06-12 A. Ferrando , C. Milián , D. V. Skryabin

Recent advances in numerical methods significantly pushed forward the understanding of electrons coupled to quantized lattice vibrations. At this stage, it becomes increasingly important to also account for the effects of physically…

The polaron formation is investigated in the intermediate regime of the Holstein model by using an exact diagonalization technique for the one-dimensional infinite lattice. The numerical results for the electron and phonon propagators are…

Strongly Correlated Electrons · Physics 2007-05-23 O. S. Barisic

Understanding the interplay between charge and spin and its effects on transport is a ubiquitous challenge in quantum many-body systems. In the Fermi-Hubbard model, this interplay is thought to give rise to magnetic polarons, whose dynamics…

Many molecular, quantum-dot, and optomechanical nanocavity-QED systems demonstrate strong nonlinear interactions between electrons, photons, and phonon (vibrational) modes. We show that such systems can be described by a universal model in…

Quantum Physics · Physics 2022-05-25 Mikhail Tokman , Maria Erukhimova , Qianfan Chen , Alexey Belyanin

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

We present a theoretical description of the coupling between longitudinal optical phonons and collective excitations of a two-dimensional electron gas. By diagonalizing the Hamiltonian of the system, including Coulomb electron-electron and…

Mesoscale and Nanoscale Physics · Physics 2020-02-21 Sofia Ribeiro , Angela Vasanelli , Yanko Todorov , Carlo Sirtori