Matter-wave gap solitons in atomic bandgap structures

TL;DR

This paper explores how Bose-Einstein condensates in optical lattices can form reconfigurable, nonlinear matter-wave structures with bandgap properties, enabling the creation of two-dimensional matter-wave gap solitons.

Contribution

It introduces the concept of atomic bandgap structures in optical lattices and demonstrates the formation of 2D matter-wave gap solitons, a novel nonlinear localization phenomenon.

Findings

Atomic BECs in optical lattices form bandgap spectra.

Reconfigurable matter-wave structures resemble photonic crystals.

Existence of 2D matter-wave gap solitons confirmed.

Abstract

We demonstrate that a Bose-Einstein condensate in an optical lattice forms a reconfigurable matter-wave structure with a band-gap spectrum, which resembles a nonlinear photonic crystal for light waves. We study in detail the case of a two-dimensional square optical lattice and show that this atomic bandgap structure allows nonlinear localization of atomic Bloch waves in the form of two-dimensional matter-wave gap solitons.