Spectral correlations are a powerful tool to study the dynamics of quantum many-body
systems. For Hermitian Hamiltonians, quantum chaotic motion is related to random matrix …

Studies of many-body non-Hermitian parity-time (PT)-symmetric quantum systems are
attracting a lot of interest due to their relevance in research areas ranging from quantum …

In this paper, we show a comparison of different definitions of the topological charge on the
lattice. We concentrate on one small-volume ensemble with 2 flavours of dynamical …

The identification, description, and classification of topological features is an engine of
discovery and innovation in several fields of physics. This research encompasses a broad …

A bstract In this paper we test the complex Langevin algorithm for numerical simulations of a
random matrix model of QCD with a first order phase transition to a phase of finite baryon …

We consider the phase diagram of twisted-mass Wilson fermions of two-flavor QCD in the
parameter space of the quark mass, the isospin chemical potential, the twist angle and the …

Random matrix theory has been successfully applied to lattice quantum chromodynamics. In
particular, a great deal of progress has been made on the understanding, numerically as …

This chapter is based on the lectures delivered at the Les Houches Summer School in July
2015. They are addressed at a mixed audience of physicists and mathematicians with some …

The identification, description, and classification of topological features is an engine of
discovery and innovation in several fields of physics. This research encompasses a broad …

Understanding the far-from-equilibrium dynamics of dissipative quantum systems, where
dissipation and decoherence coexist with unitary dynamics, is an enormous challenge with …