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

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 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 impact of quenched disorder on the dynamics of locally constrained quantum
spin chains, that describe 1D arrays of Rydberg atoms in both the frozen (Ising-type) and …

We elucidate how the presence of higher-form symmetries affects the dynamics of
thermalization in isolated quantum systems. Under reasonable assumptions, we analytically …

One challenge of studying the many-body localization transition is defining the length scale
that diverges upon the transition to the ergodic phase. In this manuscript we explore the …

Many-body localization (MBL) behavior is analyzed in an extended Bose-Hubbard model
with quasiperiodic infinite-range interactions. No additional disorder is assumed. The …

We investigate the quantum dynamics of two-level systems (TLS) in glasses at low
temperatures (1 K and below). We study an ensemble of TLSs coupled to phonons. By …

Superinsulation is dual superconductivity. Already in the 70s, Nambu [1], Mandelstam [2]
and 't Hooft [3] proposed their model of dual superconductivity as a possible explanation of …