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 …

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 …

We analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …

We study circuit complexity for conformal field theory states in an arbitrary number of
dimensions. Our circuits start from a primary state and move along a unitary representation …

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 …

We present an overview of recent advances in the study of energy dynamics and
mechanisms for energy conversion in qubit systems with special focus on realizations in …

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 …

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 …

We study Chern insulators from the point of view of Kähler geometry, ie, the geometry of
smooth manifolds equipped with a compatible triple consisting of a symplectic form, an …

We show that the onset of quantum chaos at infinite temperature in two many-body one-
dimensional lattice models, the perturbed spin-1/2 XXZ and Anderson models, is …