The present review will focus on recent development of exact-diagonalization (ED) methods
that use Lanczos algorithm to transform large sparse matrices onto the tridiagonal form. We …

The eigenstate thermalization hypothesis (ETH) is a successful theory that provides
sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried …

We investigate the dynamics of a phonon-mediated superconductor driven out of
equilibrium. The electronic hopping amplitude is ramped down in time, resulting in an …

We present a unified and nonperturbative method for calculating spectral and transport
properties of Hamiltonians with simultaneous Holstein (diagonal) and Peierls (off-diagonal) …

A comprehensive picture of polaron and bipolaron physics is essential to understand the
optical absorption spectrum in many materials with electron-phonon interactions. In …

Dynamics of a one-dimensional Holstein molecular crystal model is investigated by making
use of the hierarchical equations of motion (HEOM) introduced by Tanimura and Kubo [J …

The nonequilibrium dynamics of strongly-correlated fermions in lattice systems have
attracted considerable interest in the condensed matter and ultracold atomic-gas …

In this work, we experimentally and theoretically explore voltage-controlled oscillations
occurring in microbeams of vanadium dioxide. These oscillations are a result of the …

Combining the multiple Davydov D 2 Ansatz with the method of thermo-field dynamics, we
study finite temperature dynamics of a Holstein polaron on a lattice. It has been …

We study the relaxation of the Holstein model after a sudden switch-on of the interaction by
means of the nonequilibrium dynamical mean field theory, with the self-consistent Migdal …