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 …

What happens in an isolated quantum system when both disorder and interactions are
present? Over the recent years, the picture of a non-thermalizing phase of matter, the many …

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 …

Moiré lattices consist of two superimposed identical periodic structures with a relative
rotation angle. Moiré lattices have several applications in everyday life, including artistic …

Non-Hermiticity from nonreciprocal hop**s has been shown recently to demonstrate the
non-Hermitian skin effect (NHSE) under open boundary conditions (OBCs). Here we study …

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 …

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 …

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) …

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

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