Nonequilibrium evolution of the quantum states extend the notion of quantum phase
transition to a dynamical scenario, corresponding to the singular behavior of Loschmidt echo …

It has long been known that quantum particles moving in a periodic lattice and subject to a
constant force field undergo an oscillatory motion that is referred to as Bloch oscillations …

The accurate description and robust computational modeling of the nonequilibrium
properties of quantum systems remain a challenge in condensed matter physics. In this …

We report numerical calculations of the probability distribution of a single-particle spectral
function of a non-interacting one-dimensional tight-binding chain with power-law correlated …

Recently the role of the mobility edge in localization transitions has been extensively studied
for one-dimensional tight-binding quasiperiodic models. In this work we study the mobility …

Disorder is a key factor influencing the behavior of condensed states of matter, however the
true extent of its impact is generally difficult to determine due to the prominent roles played …

The nonanalyticity of the Loschmidt echo at critical times in quantum quenched systems is
termed as the dynamical quantum phase transition, extending the notion of quantum …

We numerically investigate the single parameter scaling (SPS) hypothesis in a non-
interacting one-dimensional correlated Anderson model. In particular, we examine the role …

The outputs of many real-world complex dynamical systems are time series characterized by
power-law correlations and fractal properties. The first proposed model for such time series …

Abstract The Aubry-André model is a fundamental theoretical model that exhibits interesting
topological features. In this paper, we examine topologically protected boundary states in …