We present experimental observations of exact dynamic localization of an optical beam in a
periodically curved AlGaAs waveguide array. The dynamic localization of the beam is …

It has long been known that quantum particles moving in a periodic lattice and subject to a
constant force field undergo an oscillatory motion that is referred to as Bloch oscillations …

Recently, higher-order topological insulators (HOTIs) have been introduced, and were
shown to host topological corner states under the theoretical framework of Benalcazar …

We address Bloch oscillations of a spin-orbit coupled atom in periodic potentials of two
types: optical and Zeeman lattices. We show that in optical lattices the spin-orbit coupling …

We demonstrate in a numerical manner the intriguing localization-to-delocalization transition
of light in frequency-tuned photonic moiré lattices, both in the zero-order and the higher …

This article reviews the polarizability model and its applications to ferroelectric perovskite
oxides. The motivation for the introduction of the model is discussed and nonlinear oxygen …

We demonstrate the first fully controlled generation of immobile and slow spatial gap
solitons in nonlinear periodic systems with band-gap spectra, and observe the key features …

We study wave propagation in a two-dimensional photonic lattice with focusing Kerr
nonlinearity, and report on the existence of various nonlinear localized structures in the form …

We study analytically and numerically an optical analogue of Dirac solitons in binary
waveguide arrays in the presence of Kerr nonlinearity. Pseudo-relativistic soliton solutions of …

We study the properties of spatially localized and time-periodic excitations—discrete
breathers—in Fermi–Pasta–Ulam (FPU) chains. We provide a detailed analysis of their …