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 …

Thermalizing quantum systems are conventionally described by statistical mechanics at
equilibrium. However, not all systems fall into this category, with many-body localization …

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

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 …

Quantized eigenenergies and their associated wave functions provide extensive information
for predicting the physics of quantum many-body systems. Using a chain of nine …

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

In the presence of disorder, an interacting closed quantum system can undergo many-body
localization (MBL) and fail to thermalize. However, over long times, even weak couplings to …

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 …