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Related papers: Variational study of the Holstein polaron

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Important properties of complex quantum many-body systems and their phase diagrams can often already be inferred from the impurity limit. The Bose polaron problem describing an impurity atom immersed in a Bose-Einstein condensate is a…

Quantum Gases · Physics 2024-03-06 Arthur Christianen , J. Ignacio Cirac , Richard Schmidt

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 model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a…

Mathematical Physics · Physics 2017-11-22 Marcel Griesemer

The polaron has been of interest in condensed matter theory and field theory for about half a century, especially the limit of large coupling constant. It was not until 1983, however, that a proof of the asymptotic formula for the ground…

Condensed Matter · Physics 2009-10-28 E. H. Lieb , L. E. Thomas

We consider how electron-phonon interaction influences the insulator-metal transitions driven by doping in the strongly correlated system. Using the polaronic version of the generalized tight-binding method, we investigate a multiband…

Strongly Correlated Electrons · Physics 2021-11-09 E. I. Shneyder , M. V. Zotova , S. V. Nikolaev , S. G. Ovchinnikov

The nonclassical behaviors of a two-level system coupled to a harmonic oscillator is investigated in the ultrastrong coupling regime. We revisit the variational solution of the ground state and find that the existing solution do not account…

Mesoscale and Nanoscale Physics · Physics 2010-09-01 Myung-Joong Hwang , Mahn-Soo Choi

The theory of linear and non-linear infrared response of vibrational Holstein polarons in one-dimensional lattices is presented in order to identify the spectral signatures of self-trapping phenomena. Using a canonical transformation the…

Chemical Physics · Physics 2023-09-29 Cyril Falvo

We apply the Dynamical Mean Field Theory to calculate the low-density limit of the optical conductivity in the Holstein model. This non perturbative treatment allows to span continuously from the weak-coupling quasi-free electron behaviour…

Strongly Correlated Electrons · Physics 2007-05-23 S. Fratini F. de Pasquale S. Ciuchi

We study the finite-temperature transport of electrons coupled to anharmonic local phonons. Our focus is on the high-temperature incoherent regime, where controlled calculations are possible both for weak and strong electron--phonon…

Strongly Correlated Electrons · Physics 2021-10-22 Attila Szabó , S. A. Parameswaran , Sarang Gopalakrishnan

The Holstein model has been widely accepted as a model comprising electrons interacting with phonons; analysis of this model's ground states was accomplished two decades ago. However, the results were obtained without completely taking…

Mathematical Physics · Physics 2016-05-10 Tadahiro Miyao

The formation of a polaron quasiparticle from a bare electron is studied in the framework of the Holstein model of electron-phonon coupling. Using Schr\"{o}dinger's formalism, we calculate the time evolution of the distribution of the…

Strongly Correlated Electrons · Physics 2007-05-23 Li-Chung Ku , S. A. Trugman

In presence of a magnetic field, multi-component ground states appear in trapped spin-1 Bose-Einstein condensates for both ferromagnetic and anti-ferromagnetic types of spin-spin interaction. We aim to produce an accurate analytical…

Quantum Gases · Physics 2023-12-29 Projjwal K. Kanjilal , A. Bhattacharyay

The transition into a strongly-correlated regime of 3 fermions trapped in a one-dimensional harmonic potential is investigated. This interesting, but little-studied system, allows us to identify characteristic features of the regime, some…

Quantum Gases · Physics 2024-01-11 Victor Caliva , Johanna I Fuks

In many lattice simulations with dynamical quarks, radial or orbital excitations of hadrons lie near multihadron thresholds: it makes the extraction of excited states properties more challenging and can introduce some systematics difficult…

High Energy Physics - Lattice · Physics 2016-11-15 Benoit Blossier , Antoine Gérardin

Simulating electron-phonon interactions on quantum computers remains challenging, with most algorithmic effort focused on Hamiltonian simulation and circuit optimization. In this work, we study the single-electron Holstein model and propose…

Quantum Physics · Physics 2025-12-19 Arnab Adhikary , S. E. Skelton , Alberto Nocera , Mona Berciu

We present numerically exact solutions to the problem of a single electron interacting through a long range interaction with optical phonons in two and three dimensions. Comparisons are made with results for the standard Holstein model, and…

Strongly Correlated Electrons · Physics 2015-11-17 Carl J. Chandler , F. Marsiglio

We investigate the steady-state electronic transport through a suspended dimer molecule coupled to leads. When strongly coupled to a vibrational mode, the electron transport is enhanced at the phonon resonant frequency and higher-order…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 D. H. Santamore , Neill Lambert , Franco Nori

We consider the ground state of an attractively-interacting atomic Bose-Einstein condensate in a prolate, cylindrically symmetric harmonic trap. If a true quasi-one-dimensional limit is realized, then for sufficiently weak axial trapping…

Quantum Gases · Physics 2012-01-24 T. P. Billam , S. A. Wrathmall , S. A. Gardiner

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

A simple variational displacement phonon basis, obtained through the modified Lang-Firsov (MLF) transformation, is proposed to study the Holstein model.This phonon basis contains only one variational parameter, but capable of describing…

Condensed Matter · Physics 2007-05-23 Jayita Chatterjee , A. N. Das , P. Choudhury