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We calculate the low temperature properties of an acoustic polaron in three dimensions in thermal equilibrium at a given temperature using a specialized path integral Monte Carlo method. In particular we find numerical evidence that the…

Materials Science · Physics 2012-11-20 Riccardo Fantoni

The hybridization of light and matter excitations in the form of polaritons has enabled major advances in understanding and controlling optical nonlinearities. Entering the quantum regime of strong interactions between individual photons…

Electrons coupled to local lattice deformations end up in selftrapped localized molecular states involving their binding into bipolarons when the coupling is stronger than a certain critical value. Below that value they exist as essentially…

Superconductivity · Physics 2009-11-11 J. Ranninger , A. Romano

We study the formation of solitons inside scalar-field dark matter halos with a non-polynomial self-interaction potential. We consider a self-interaction potential that is quartic in the scalar field in the low-density regime but saturates…

Cosmology and Nongalactic Astrophysics · Physics 2025-07-31 Raquel Galazo García , Philippe Brax , Patrick Valageas

Exact diagonalization calculations show a continuous transition from delocalized to small polaron behavior as a function of intersite electron-lattice coupling. A transition, found previously at Hartree-Fock level [Yonemitsu et al., Phys.…

Condensed Matter · Physics 2008-06-16 J. Lorenzana , A. Dobry

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

We study the self-trapping of quasiparticles (electrons, holes, excitons, etc) in a molecular chain with the structure of a ring, taking into account the electron-phonon interaction and the radial and tangential deformations of the chain. A…

Strongly Correlated Electrons · Physics 2009-11-11 L. S. Brizhik , A. A. Eremko , B. Piette W. Zakrzewski

The single-polaron band structure of the Holstein model in one and two dimensions is studied using a new form of resummed strong-coupling perturbation theory. Well converged results are obtained for phonon frequencies of the order of the…

Condensed Matter · Physics 2007-05-23 Walter Stephan

The symmetries of spontaneous lattice distortions in carbon nanotubes are investigated. When the degeneracy of the ground states remains discrete, there are solitons or domain walls connecting the different symmetry broken vaccua. These…

Condensed Matter · Physics 2007-05-23 Claudio Chamon

An exciton-polariton microcavity that incorporates magnetic ions can exhibit a spontaneous self-trapping phenomenon which is an analog of the classical polaron effect. We investigate in detail the full model of a polariton condensate that…

Quantum Gases · Physics 2018-11-14 Paweł Miętki , Michał Matuszewski

A novel soliton-like solution in quantum electrodynamics is obtained via a self-consistent field method. By writing the Hamiltonian of quantum electrodynamics in the Coulomb gauge, we separate out a classical component in the density…

High Energy Physics - Theory · Physics 2017-01-12 O. D. Skoromnik , I. D. Feranchuk , C. H. Keitel

We study the impact of an external magnetic field on the long-range electron transport in quasi-one-dimensional materials, such as polypeptides, (semi-) conducting polymers and macromolecules, taking into account the electron-lattice…

Soft Condensed Matter · Physics 2026-03-11 Larissa Brizhik , B. M. A. G. Piette

Using for unperturbed electron and phonon Hamiltonians a representation by the Jacobi matrices a one-dimensional model of the electron-phonon interaction is constructed. In frame of the model the polaron and scattering spectral bands are…

Other Condensed Matter · Physics 2007-05-23 Yu. A. Kuperin , B. S. Pavlov , R. V. Romanov , G. E. Rudin

We study the problem of one-dimensional (1D) Luttinger liquids in the insulating Mott-Hubbard phase in the presence of acoustic phonons in the semiclassical limit. We show that solitonic excitations can propagate freely in the system and…

Strongly Correlated Electrons · Physics 2009-10-31 Chun-Min Chang , A. H. Castro Neto , A. R. Bishop

An analytical variational method is applied to the molecular Holstein Hamiltonian in which the dispersive features of the dimension dependent phonon spectrum are taken into account by a force constant approach. The crossover between a large…

Superconductivity · Physics 2009-11-10 Marco Zoli , A. N. Das

We consider the interplay of repulsive short-range and same-sign long-range interactions in the dynamics of dark solitons, as prototypical coherent nonlinear excitations in a trapped 1D Bose gas. First, the form of the ground state is…

Pattern Formation and Solitons · Physics 2022-03-02 M. Beau , A. del Campo , D. J. Frantzeskakis , T. P. Horikis , P. G. Kevrekidis

We develop a microscopic theoryof the trion polaron: a bound state of two electrons and one hole, dressed by longitudinal optical (LO) phonons. Starting from the Frohlich Hamiltonian, which describes the interaction of charged particles…

Materials Science · Physics 2025-08-21 V. Shahnazaryan , A. Kudlis , K. Varga , I. A. Shelykh , I. V. Tokatly

Inspired by experiments on Bose-Einstein condensates in optical lattices, we study the quantum evolution of dark soliton initial conditions in the context of the Bose-Hubbard Hamiltonian. An extensive set of quantum measures is utilized in…

Mesoscale and Nanoscale Physics · Physics 2010-06-01 R. V. Mishmash , L. D. Carr

Using numerical modeling investigated interaction of solitary waves (solitons) of the regularized long wave equation. For reception the stable model of the nonlinear medium are used methods of the linear prediction and progressive…

Pattern Formation and Solitons · Physics 2007-05-23 Yu. A. Bunyak

We study the coherent dynamics of a Holstein polaron in strong electric fields. A detailed analytical and numerical analysis shows that even for small hopping constant and weak electron-phonon interaction, polaron states can become…

Condensed Matter · Physics 2009-11-07 Wei Zhang , Alexander O. Govorov , Sergio E. Ulloa
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