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 …

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 …

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

We study the growth of the number entropy SN in one-dimensional number-conserving
interacting systems with strong disorder, which are believed to display many-body …

We study many-body localization (MBL) transition in disordered Floquet systems using a
polynomially filtered exact diagonalization (POLFED) algorithm. We focus on disordered …

We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

The phenomenon of many-body Stark localization of bosons in tilted optical lattice is studied.
Despite the fact that no disorder is necessary for Stark localization to occur, it is very similar …

We study the XXZ model with a random magnetic field in contact with a weakly disordered
spin chain, acting as a finite thermal bath. We revise Fermi's golden rule description of the …

Non-Hermiticity and dephasing, collaborating in an unusual wave-packet dynamics, realize
unconventional entanglement evolution in a disordered, interacting, and asymmetric …

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 …