In this Colloquium, the wave-function-based multiconfigurational time-dependent Hartree
approaches to the dynamics of indistinguishable particles (MCTDH-F for fermions and …

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 …

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 …

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 …

We investigate the localization-delocalization transition in one-dimensional non-Hermitian
quasiperiodic lattices with exponential short-range hopping, which possess parity-time (PT) …

We theoretically study a one-dimensional (1D) mutually incommensurate bichromatic lattice
system, which has been implemented in ultracold atoms to study quantum localization. It has …

We review the physics of many‐body localization in models with incommensurate potentials.
In particular, we consider one‐dimensional quasiperiodic models with single‐particle …

We study theoretically the localization properties of two distinct one-dimensional
quasiperiodic lattice models with a single-particle mobility edge (SPME) separating …