We study time dynamics of 1D disordered Heisenberg spin-1/2 chains focusing on a regime
of large system sizes and a long-time evolution. This regime is relevant for observation of …

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 …

In locally interacting quantum many-body systems, the velocity of information propagation is
finitely bounded, and a linear light cone can be defined. Outside the light cone, the amount …

Polynomially filtered exact diagonalization method (POLFED) for large sparse matrices is
introduced. The algorithm finds an optimal basis of a subspace spanned by eigenvectors …

In this study, we investigate out-of-time-order correlators (OTOCs) in systems with power-law
decaying interactions such as R-α, where R is the distance. In such systems, the fast …

We study many-body localization (MBL) for interacting one-dimensional lattice fermions in
random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing on the role of …

Long-range interactions allow far-distance quantum correlations to build up very fast.
Nevertheless, numerical simulations demonstrated a dramatic slowdown of entanglement …

A new paradigm of Anderson localization caused by correlations in the long-range hopping
along with uncorrelated on-site disorder is considered which requires a more precise …

We study many-body localization (MBL) in a one-dimensional system of spinless fermions
with a deterministic aperiodic potential in the presence of long-range interactions and long …

As disorder strength increases in quantum many-body systems a new phase of matter, the
so-called many-body localization, emerges across the whole spectrum. This transition is …