Inspired by the Kolmogorov-Arnold representation theorem, we propose Kolmogorov-Arnold
Networks (KANs) as promising alternatives to Multi-Layer Perceptrons (MLPs). While MLPs …

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 …

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 …

We investigate the entanglement dynamics of the non-Hermitian Aubry-André-Harper chain.
The results reveal that by increasing quasiperiodic strength, a phase transition occurs from …

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 …

Experiments have demonstrated that the strong light-matter coupling in polaritonic
microcavities significantly enhances transport. Motivated by these experiments, we have …

Mobility edges (ME), separating Anderson-localized states from extended states, are known
to arise in the single-particle energy spectrum of certain one-dimensional lattices with …

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