We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …

We study the effect of quasiperiodic perturbations on one-dimensional all-bands-flat lattice
models. Such networks can be diagonalized by a finite sequence of local unitary …

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

Quantum transport and localization are fundamental concepts in condensed matter physics.
It is commonly believed that in one-dimensional systems, the existence of mobility edges is …

We study the stability of nonergodic but extended (NEE) phases in non-Hermitian systems.
For this purpose, we generalize the so-called Rosenzweig-Porter random-matrix ensemble …

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

We study the interplay between disorder and light-matter coupling by considering a
disordered one-dimensional chain of lossy dipoles coupled to a multimode optical cavity …

The scaling of the Thouless time with system size is of fundamental importance to
characterize dynamical properties in quantum systems. In this work, we study the scaling of …

The mobility edge (ME) is a crucial concept in understanding localization physics, marking
the critical transition between extended and localized states in the energy spectrum …

We study analytically and numerically the dynamics of the generalized Rosenzweig-Porter
model, which is known to possess three distinct phases: ergodic, multifractal and localized …