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 …

In contrast with Anderson localization where a genuine localization is observed in real
space, the many-body localization (MBL) problem is much less understood in Hilbert space …

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 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 …

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

The article reviews the physics of Anderson localization on random regular graphs (RRG)
and its connections to many-body localization (MBL) in disordered interacting systems …

In this paper we study the many-body localization (MBL) transition and relate it to the
eigenstate structure in the Fock space. Besides the standard entanglement and multifractal …

Integrable quantum systems of finite size are generically robust against weak enough
integrability-breaking perturbations, but become quantum chaotic and thermalizing if the …

Dynamical and spatial correlations of eigenfunctions as well as energy level correlations in
the Anderson model on random regular graphs (RRG) are studied. We consider the critical …

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