Adiabatic evolution, an important dynamical process in a variety of classical and quantum
systems providing a robust way of steering a system into a desired state, was introduced …

The geometric phase of light has been demonstrated in various platforms of the linear
optical regime, raising interest both for fundamental science as well as applications, such as …

In many contexts, interaction between particles gives rise to emergent phenomena. An
example is the fractional quantum Hall effect, where the interaction between electrons leads …

Abstract Superflow of a Bose–Einstein condensate in an optical lattice is represented by a
Bloch wave, a plane wave with periodic modulation of the amplitude. We review the …

Nonlinear Thouless pumps for bosons exhibit quantized pumping via soliton motion, despite
the lack of a meaningful notion of filled bands. However, the theoretical underpinning of this …

Basic properties of cold Bose atoms in optical lattices are reviewed. The main principles of
correct self-consistent description of arbitrary systems with Bose-Einstein condensate are …

We investigate the dynamics of a Bose-Einstein condensate in a triple-well trap in a three-
level approximation. The interatomic interactions are taken into account in a mean-field …

The adiabatic approximation is an important concept in quantum mechanics. In linear
systems, the adiabatic condition is derived with the help of the instantaneous eigenvalues …

A survey is given of the present state of the art in studying Bose‐Einstein condensation of
dilute atomic gases. The bulk of attention is focused on the principal theoretical problems …

We investigate the tunneling dynamics of Bose-Einstein condensates (BECs) in a symmetric
as well as in a tilted triple-well trap within the framework of mean-field treatment. The …