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We find for the first time the ground state energy and the optical absorption spectra for N electrons (holes) interacting with each other and with the longitudinal optical (LO) phonons at an arbitrary electron-phonon coupling strength…

Strongly Correlated Electrons · Physics 2007-05-23 J. T. Devreese , S. N. Klimin , V. M. Fomin , F. Brosens

A new Monte Carlo algorithm for calculating polaron effective mass is proposed. It is based on the path-integral representation of a partial partition function with fixed total quasi-momentum. Phonon degrees of freedom are integrated out…

Condensed Matter · Physics 2009-10-30 P. E. Kornilovitch , E. R. Pike

We consider an open quantum system in contact with fermionic metallic reservoirs in a nonequilibrium setup. For the case of spin, orbital or potential fluctuations, we present a systematic formulation of real-time renormalization group at…

Mesoscale and Nanoscale Physics · Physics 2014-09-19 Frank Reininghaus , Mikhail Pletyukhov , Herbert Schoeller

When an optical emitter is strongly coupled to a vibrational bath the polaron transformation is often used to permit an accurate second-order Redfield master equation. However, the optical transition rates in the polaron frame are not…

Quantum Physics · Physics 2022-01-19 Dominic M Rouse , Erik M Gauger , Brendon W Lovett

We expand the existing polaron response theory, expressed within the Mori-Zwanzig projection operator formalism applicable for the transfer of arbitrary energy and zero momentum, to the case of finite momentum exchange. A general formula is…

Quantum Gases · Physics 2012-10-02 W. Casteels , J. Tempere , J. T. Devreese

This work addresses the one-dimensional problem of Bloch electrons when they are rapidly driven by a homogeneous time-periodic light and linearly coupled to vibrational modes. Starting from a generic time-periodic electron-phonon…

Mesoscale and Nanoscale Physics · Physics 2017-01-20 C. Dutreix , M. I. Katsnelson

We analyze the dynamical response of a ultracold binary gas mixture in presence of strong boson-fermion couplings. Mapping the problem onto that of the optical response of a metal/semiconductor electronic degrees of freedom to…

Quantum Gases · Physics 2014-09-08 Kai Ji , Stefan Maier , Andreas Komnik

Effects of collective modes on thermoelectric properties of a charge density system is studied. We derive the temperature dependence of thermoelectric power and thermal conductivity by applying the linear response theory to Fr\"ohlich…

Other Condensed Matter · Physics 2007-05-23 Hiroyuki Yoshimoto , Susumu Kurihara

We present a time-resolved experimental study of the temperature effect on the coherence of traveling polariton condensates. The simultaneous detection of their emission both in real- and reciprocal-space allows us to fully monitor the…

Mesoscale and Nanoscale Physics · Physics 2020-04-23 E. Rozas , M. D. Martín , C. Tejedor , L. Viña , G. Deligeorgis , Z. Hatzopoulos , P. G. Savvidis

In the preceding Part II, we derived variational equations for the phonon Fourier amplitudes and for the Fourier amplitudes of the fractional contribution of the electronic bands to the trial variational state. These equations are now…

Superconductivity · Physics 2007-05-23 M. Georgiev , A. G. Andreev , M. D. Ivanovich

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 present course, an overview is presented of the fundamentals of continuum-polaron physics, which provide the basis of the analysis of polaron effects in ionic crystals and polar semiconductors. These Lecture Notes deal with "large",…

Other Condensed Matter · Physics 2020-12-03 J. T. Devreese

Extending the Froehlich polaron problem to a discrete ionic lattice we study a polaronic state with a small radius of the wave function but a large size of the lattice distortion. We calculate the energy dispersion and the effective mass of…

Strongly Correlated Electrons · Physics 2009-10-31 A. S. Alexandrov , P. E. Kornilovitch

We study the effect of dynamical Holstein phonons on the physics of the Hubbard model at small doping using the dynamical cluster approximation on a $2\times2$ cluster. Non-local antiferromagnetic correlations are found to significantly…

Strongly Correlated Electrons · Physics 2007-05-23 Alexandru Macridin , Brian Moritz , Mark Jarrell , Thomas Maier

We develop a recursive method for perturbative solutions of the Fokker-Planck equation with nonlinear drift. The series expansion of the time-dependent probability density in terms of powers of the coupling constant is obtained by solving a…

Statistical Mechanics · Physics 2009-12-06 Jens Dreger , Axel Pelster , Bodo Hamprecht

Within the variational polaron equation framework, the Fr\"ohlich model for cubic systems with three-fold degenerate electronic bands is numerically solved in the strong coupling regime, for a wide range of its input parameters. By…

Materials Science · Physics 2024-05-06 Vasilii Vasilchenko , Xavier Gonze

Starting from the Flohlich electron-phonon model, which has a history of 50 years, a new unitary transformation is proposed to implement the perturbation treatment. Our main results are: (1)The phonon-induced interaction shows a crossover…

Strongly Correlated Electrons · Physics 2007-05-23 H. Zheng

The melting of a Wigner Crystal of electrons placed into a host polar material is examined as a function of the density and the temperature. When the coupling to the longitudinal optical modes of the host medium is turned on, the WC is…

Strongly Correlated Electrons · Physics 2009-10-31 S. Fratini , P. Quemerais

We propose a quantum simulation of small-polaron physics using a one-dimensional system of trapped ions acted upon by off-resonant standing waves. This system, envisioned as an array of microtraps, in the single-excitation case allows the…

Quantum Gases · Physics 2012-12-18 Vladimir M. Stojanovic , Tao Shi , C. Bruder , J. Ignacio Cirac

A reduced dynamical model is derived which describes the interaction of weak inertia-gravity waves with nonlinear vortical motion in the context of rotating shallow-water flow. The formal scaling assumptions are (i) that there is a…

chao-dyn · Physics 2009-10-28 Caroline Nore , Theodore G. Shepherd
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