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 investigate the structure of many-body wave functions of 1D quantum circuits with local
measurements employing the participation entropies. The leading term in system size …

Universal quantum computing requires nonstabilizer (magic) quantum states. Quantifying
the nonstabilizerness and relating it to other quantum resources is vital for characterizing the …

The Anderson transition in random graphs has raised great interest, partly out of the hope
that its analogy with the many-body localization (MBL) transition might lead to a better …

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 the effect of quasiperiodic Aubry-André disorder on the energy spectrum and
eigenstates of a one-dimensional all-band-flat (ABF) diamond chain. The ABF diamond …

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 identify the chaotic phase of the Bose-Hubbard Hamiltonian by the energy-resolved
correlation between spectral features and structural changes of the associated eigenstates …

Multifractal dimensions allow for characterizing the localization properties of states in
complex quantum systems. For ergodic states the finite-size versions of fractal dimensions …

We study the localization-delocalization transition of Floquet eigenstates in a driven
fermionic chain with an incommensurate Aubry-André potential and a hopping amplitude …