What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

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 …

Spectral statistics of disordered systems encode Thouless and Heisenberg timescales,
whose ratio determines whether the system is chaotic or localized. We show that the scaling …

We present a major update to QuSpin, SciPostPhys. 2.1. 003--an open-source Python
package for exact diagonalization and quantum dynamics of arbitrary boson, fermion and …

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 provide a pedagogical review on the calculation of highly excited eigenstates of
disordered interacting quantum systems which can undergo a many-body localization (MBL) …

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 …

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

Lessons from Anderson localization highlight the importance of the dimensionality of real
space for localization due to disorder. More recently, studies of many-body localization have …