Abstract p-Adic mathematical physics is a branch of modern mathematical physics based on
the application of p-adic mathematical methods in modeling physical and related …

We propose a new approach to probing ergodicity and its breakdown in one-dimensional
quantum many-body systems based on their response to a local perturbation. We study the …

The theory of large deviations is already the natural language for the statistical physics of
equilibrium and non-equilibrium. In the field of disordered systems, the analysis via large …

The disordered XXZ model is a prototype model of the many-body localization transition
(MBL). Despite numerous studies of this model, the available numerical evidence of …

Eigenstates of local many-body interacting systems that are far from spectral edges are
thought to be ergodic and close to being random states. This is consistent with the …

In the field of ergodicity-breaking phases, it has been recognized that quantum avalanches
can destabilize many-body localization at a wide range of disorder strengths. This has in …

The statistical distribution of eigenfunctions for the Rosenzweig-Porter model is derived for
the region where eigenfunctions have fractal behavior. The result is based on simple …

The delocalized non-ergodic phase existing in some random $ N\times N $ matrix models is
analyzed via the Wigner-Weisskopf approximation for the dynamics from an initial site $ j_0 …

We analyse the eigenvectors of the adjacency matrix of a critical Erdős–Rényi graph G (N,
d/N), where d is of order log N. We show that its spectrum splits into two phases: a …

We consider eigenvectors of the Hamiltonian H 0 perturbed by a generic perturbation V
modelled by a random matrix from the Gaussian Unitary Ensemble (GUE). Using the …