We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Long-lived quasi-stationary states (QSSs) are a signature characteristic of long-range
interacting systems both in the classical and in the quantum realms. Often, they emerge after …

An analysis of the quantum measurement problem is presented which is a modest
modification of the standard one often called the Copenhagen interpretation. The starting …

We show that the dynamics of generic quantum systems concentrate around their
equilibrium value when measuring at arbitrary times. This means that the probability of …

Generic quantum systems--as much as their classical counterparts--pass arbitrarily close to
their initial state after sufficiently long time. Here we provide an essentially exact …

It is shown that a canonical time observable may be defined for any quantum system having
a discrete set of energy eigenvalues, thus significantly generalizing the known case of time …

Forgetfulness is a common feature of nature. Moreover, without forgetfulness, repeatability
would be impossible. Despite this, small systems constantly leak information about their …

Diese Arbeit lotet aus, inwieweit thermodynamisches Verhalten auf der Basis von
Quantenmechanik erklärt werden kann. Behandelt werden insbesondere: Equilibrierung …

We present a unifying framework to the understanding of when and how quantum-
mechanical systems become independent of their initial conditions and adapt macroscopic …

Motivated by the spin self-rephasing recently observed in an atomic clock, we introduce a
simple dynamical model to study the competition between dephasing and synchronization …