Ultracold atoms and Bose-Einstein condensates in optical lattices

TL;DR

This paper reviews the experimental and theoretical research on ultracold atoms and Bose-Einstein condensates in optical lattices, emphasizing quantum control, atomic interactions, and the role of external potentials.

Contribution

It provides a comprehensive overview of the fundamental aspects and recent advances in the study of ultracold atoms in optical lattice structures.

Findings

Quantum motion of atoms is highly controllable in optical lattices.

Long-range interactions significantly influence quantum evolution.

Experimental and theoretical insights enhance understanding of atomic behavior in periodic potentials.

Abstract

For ultracold and Bose-condensed atoms contained in periodic optical potential wells the quantized nature of their motion is clearly visible. The motion of the atomic wavepacket can also be accurately controlled. For those systems the long-range character of the atomic interaction and of the external potential play a key role in the quantum mechanical evolution. The basic facets of the experimental and theoretical research for atoms within optical lattice structures will be reviewed.