The disorder systems host three types of fundamental quantum states, known as the
extended, localized, and critical states, of which the critical states remain being much less …

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 Anderson transition on a generic model of random graphs with a tunable
branching parameter 1< K< 2, through large scale numerical simulations and finite-size …

We study non-Hermitian Aubry-André-Harper models with p-wave pairing, where the non-
Hermiticity is introduced by on-site complex quasiperiodic potentials. By analyzing the PT …

The critical phases, being delocalized but nonergodic, are fundamental phases different
from both the many-body localization and ergodic extended quantum phases, and have so …

We demonstrate many-body multifractality of the Bose-Hubbard Hamiltonian's ground state
in Fock space, for arbitrary values of the interparticle interaction. Generalized fractal …

We study the multifractal behavior of coherent states projected in the energy eigenbasis of
the spin-boson Dicke Hamiltonian, a paradigmatic model describing the collective …

We have investigated scaling properties near the quantum critical point between the
extended phase and the critical phase in the Aubry-André-Harper model with p-wave …

We present an extension of the chaos-assisted tunneling mechanism to spatially periodic
lattice systems. We demonstrate that driving such lattice systems in an intermediate regime …

We study the spectral and wavefunction properties of a one-dimensional incommensurate
system with p-wave pairing and unveil that the system demonstrates a series of particular …