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 numerically study both the avalanche instability and many-body resonances in strongly
disordered spin chains exhibiting many-body localization (MBL). Finite-size systems behave …

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 …

Characterizing states of matter through the lens of their ergodic properties is a fascinating
new direction of research. In the quantum realm, the many-body localization (MBL) was …

We re-examine attempts to study the many-body localization transition using measures that
are physically natural on the ergodic/quantum chaotic regime of the phase diagram. Using …

We study disorder-induced ergodicity breaking transition in high-energy eigenstates of
interacting spin-1/2 chains. Using exact diagonalization, we introduce a cost function …

The idea of breaking time-translation symmetry has fascinated humanity at least since
ancient proposals of the perpetuum mobile. Unlike the breaking of other symmetries, such …

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 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 …

We study a stochastic lattice gas of particles in one dimension with strictly finite-range
interactions that respect the fractonlike conservation laws of total charge and dipole moment …