In this article we provide a review of geometrical methods employed in the analysis of
quantum phase transitions and non-equilibrium dissipative phase transitions. After a …

This Colloquium gives an overview of recent theoretical and experimental progress in the
area of nonequilibrium dynamics of isolated quantum systems. There is particularly a focus …

We study the low-frequency properties of the bulk photovoltaic effect in topological
semimetals. The bulk photovoltaic effect is a nonlinear optical effect that generates dc …

In these lecture notes, partly based on a course taught at the Karpacz Winter School in
March 2014, we explore the close connections between non-adiabatic response of a system …

Adiabatic quantum computing (AQC) started as an approach to solving optimization
problems and has evolved into an important universal alternative to the standard circuit …

In this article we derive a measure of quantumness in quantum multi-parameter estimation
problems. We can show that the ratio between the mean Uhlmann curvature and the Fisher …

A Berry curvature is an imaginary component of the quantum geometric tensor (QGT) and is
well studied in many branches of modern physics; however, the quantum metric as a real …

Markovian reservoir engineering, in which time evolution of a quantum system is governed
by a Lindblad master equation, is a powerful technique in studies of quantum phases of …

Any physical system can be viewed from the perspective that information is implicitly
represented in its state. However, the quantification of this information when it comes to …

Among various algorithms designed to exploit the specific properties of quantum computers
with respect to classical ones, the quantum adiabatic algorithm is a versatile proposition to …