Statistical mechanics provides a framework for describing the physics of large, complex
many-body systems using only a few macroscopic parameters to determine the state of the …

Over the last decade impressive progress has been made in the theoretical understanding
of transport properties of clean, one-dimensional quantum lattice systems. Many physically …

Matrix-product states have become the de facto standard for the representation of one-
dimensional quantum many body states. During the last few years, numerous new methods …

In the past two decades, the density matrix renormalization group (DMRG) has emerged as
an innovative new method in quantum chemistry relying on a theoretical framework very …

Femtosecond nonlinear spectroscopy is the main tool for the time-resolved detection of
photophysical and photochemical processes. Since most systems of chemical interest are …

We theoretically study the quench dynamics for an isolated Heisenberg spin chain with a
random on-site magnetic field, which is one of the paradigmatic models of a many-body …

The concept of space evolution (or space-time duality) has emerged as a promising
approach for studying quantum dynamics. The basic idea involves exchanging the roles of …

Many-body localization (MBL) describes a class of systems that do not approach thermal
equilibrium under their intrinsic dynamics; MBL and conventional thermalizing systems form …

The eigenstate thermalization hypothesis (ETH) is a successful theory that provides
sufficient criteria for ergodicity in quantum many-body systems. Most studies were carried …

We study the growth of entanglement between two adjacent regions in a tripartite, one-
dimensional many-body system after a quantum quench. Combining a replica trick with a …