Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

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 …

In this work, we investigate the Anderson localization problems of the generalized Aubry-
André model (Ganeshan-Pixley-Das Sarma's model) with an unbounded quasiperiodic …

A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

We propose a general analytic method to study the localization transition in one-
dimensional quasicrystals with parity-time (PT) symmetry, described by complex …

By analyzing the Lyapunov exponent (LE), we develop a rigorous, fundamental scheme for
the study of general non-Hermitian quasicrystals with both a complex phase factor and …

We experimentally study many-body localization (MBL) with ultracold atoms in a weak one-
dimensional quasiperiodic potential, which in the noninteracting limit exhibits an …

The mobility edges (MEs) in energy that separate extended and localized states are a
central concept in understanding the localization physics. In one-dimensional (1D) …

A single-particle mobility edge (SPME) marks a critical energy separating extended from
localized states in a quantum system. In one-dimensional systems with uncorrelated …

We demonstrate the existence of generalized Aubry-André self-duality in a class of non-
Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the …