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We consider the Fr\"ohlich $N$-polaron Hamiltonian in the strong coupling limit and bound the ground state energy from below. In particular, our lower bound confirms that the ground state energy of the Fr\"ohlich polaron and the ground…

Mathematical Physics · Physics 2015-06-12 Ioannis Anapolitanos , Benjamin Landon

When an electromagnetic field is confined in a cavity of variable length, real photons may be generated from vacuum fluctuations due to highly nonadiabatic boundary conditions. The corresponding effective Hamiltonian is time-dependent and…

Quantum Physics · Physics 2023-09-29 I. Ramos-Prieto , R. Román-Ancheyta , F. Soto-Eguibar , J. Récamier , H. M. Moya-Cessa

We investigate the energy transfer dynamics in a donor-acceptor model by developing a time-local master equation technique based on a variational transformation of the underlying Hamiltonian. The variational transformation allows a…

Quantum Physics · Physics 2011-09-19 Dara P. S. McCutcheon , Ahsan Nazir

The ground state and finite temperature properties of polarons are studied considering a two-site and a four-site Holstein model by exact diagonalization of the Hamiltonian. The kinetic energy, Drude weight, correlation functions involving…

Strongly Correlated Electrons · Physics 2009-11-13 A. N. Das , S. Sil

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

Partial summing of infinite range of diagrams for the two-phonon mass operator of polaron described by Fr\"{o}hlich Hamiltonian is performed using the Feynman-Pines diagram technique. Renormalized spectral parameters of ground and first…

Mesoscale and Nanoscale Physics · Physics 2015-10-26 M. V. Tkach , Ju. O. Seti , O. M. Voitsekhivska , O. Yu. Pytiuk

The phonon spectral function of the one-dimensional Holstein model is obtained within weak and strong-coupling approximations based on analytical self-energy calculations. The characteristic excitations found in the limit of small…

Strongly Correlated Electrons · Physics 2007-05-23 J Loos , M Hohenadler , A Alvermann , H Fehske

I analyse our present understanding of the Froehlich polaron with emphasis on the response properties, in particular optical absorption.

Mesoscale and Nanoscale Physics · Physics 2007-09-27 J. T. Devreese

A variational approach is proposed to determine some properties of the adiabatic Holstein-Hubbard model which describes the interactions between a static atomic lattice and an assembly of fermionic charge carriers. The sum of the electronic…

Strongly Correlated Electrons · Physics 2007-05-23 Laurent Proville , S. Aubry

We explore effective approaches for describing the dynamics of induced interactions amongst two non-interacting distinguishable impurities - Bose polarons - when their couplings to the host species are switched on. First, we evaluate the…

Quantum Gases · Physics 2025-01-09 F. Theel , S. I. Mistakidis , P. Schmelcher

The electronic structure of condensed matter can be significantly affected by the electron-phonon interaction, leading to important phenomena such as electrical resistance, superconductivity or the formation of polarons. This interaction is…

Using the Dirac-Frenkel variational principle, a time-dependent description of the dynamics of a two-level system coupled to a bosonic bath is formulated. The method is applied to the case of a gas of cold atoms adsorbing to an elastic…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Dennis P. Clougherty

We study the dynamics of large polarons described by the Froehlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as…

Mathematical Physics · Physics 2015-06-18 Rupert L. Frank , Benjamin Schlein

We consider a macroscopic quantum system such as a qubit, interacting with a bath of fermions as in the Fr\"ohlich polaron model. The interaction Hamiltonian is thus linear in the macroscopic system variable, and bilinear in the fermions.…

Quantum Physics · Physics 2020-07-16 Erik Aurell , Jan Tuziemski

We present a general theory for semiconductor polarons in the framework of the Froehlich interaction between electrons and phonons. The latter is investigated using non-commuting phonon creation/annihilation operators associated with a…

Other Condensed Matter · Physics 2012-02-09 D. Obreschkow , F. Michelini , S. Dalessi , E. Kapon , M. -A. Dupertuis

We report on a theoretical investigation concerning the polaronic effect on the transport properties of a charge carrier in the one-dimensional molecular chain. Our technique is based on the Feynman's path integral approach. Analytical…

Mesoscale and Nanoscale Physics · Physics 2015-12-10 Sikarin Yoo-Kong , Watchara Liewrian

We apply weak-coupling perturbation theory to the Holstein molecular crystal model in order to compute an electron-phonon correlation function characterizing the shape and size of the polaron lattice distortion in one, two, and three…

Strongly Correlated Electrons · Physics 2009-10-31 Aldo H. Romero , David W. Brown , Katja Lindenberg

A new mechanism is proposed to explain the colossal magnetoresistance and related phenomena. Moving electrons accompanied by Jahn-Teller phonon and spin-wave clouds may form composite polarons in ferromagnetic narrow-band manganites. The…

Strongly Correlated Electrons · Physics 2016-08-31 Liang-Jian Zou , H. Q. Lin , Qing-Qi Zheng

Polarons, that is, charge carriers correlated with lattice deformations, are ubiquitous quasiparticles in semiconductors, and play an important role in electrical conductivity. To date most theoretical studies of so-called large polarons,…

We consider two heavy impurities immersed in a Bose-Einstein condensate, and calculate the self-energy using the Wilsonian renormalization. The polaron energy, quasiparticle residue and damping rate are extracted from the self-energy. We…

Quantum Gases · Physics 2025-03-04 Dong-Chen Zheng , Lin Wen , Renyuan Liao
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