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 …

We review the quantum fidelity approach to quantum phase transitions in a pedagogical
manner. We try to relate all established but scattered results on the leading term of the …

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 …

The EDELWEISS Collaboration has performed a search for dark matter particles with
masses below the GeV scale with a 33.4-g germanium cryogenic detector operated in a …

The transverse field Ising and XY models (the simplest quantum spin models) provide the
organising principle for the rich variety of interconnected subjects which are covered in this …

Quantum criticality, as a fascinating quantum phenomenon, may provide significant
advantages for quantum sensing. Here we propose a dynamic framework for quantum …

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 the accuracy and sample complexity of variational Monte Carlo approaches to
simulate the dynamics of many-body quantum systems classically. By systematically …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

The dynamics of a quantum phase transition is inextricably woven with the formation of
excitations, as a result of critical slowing down in the neighborhood of the critical point. We …