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 …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

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 …

Over a decade of work has culminated in the consensus that one-dimensional systems,
subject to sufficiently large disorder, fail to thermalize and possess an extensive set of local …

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 analyze a one-dimensional XXZ spin chain in a disordered magnetic field. As the main
probes of the system's behavior, we use the sensitivity of eigenstates to adiabatic …

We have recently shown that the logarithmic growth of the entanglement entropy following a
quantum quench in a many-body localized phase is accompanied by a slow growth of the …

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 …

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 show that the onset of quantum chaos at infinite temperature in two many-body one-
dimensional lattice models, the perturbed spin-1/2 XXZ and Anderson models, is …