Magnetism in a lattice of spinor Bose condensates

TL;DR

This paper investigates the magnetic phases of ferromagnetic spinor Bose-Einstein condensates in optical lattices, revealing phase transitions driven by dipolar interactions and analyzing ground-state configurations.

Contribution

It introduces a detailed study of magnetic phase transitions in lattice-confined spinor condensates considering both static and light-induced dipolar interactions.

Findings

Identification of ferromagnetic and anti-ferromagnetic phases

Dependence of magnetic order on lattice dimension

Detailed analysis of ground-state spin configurations

Abstract

We study the ground state magnetic properties of ferromagnetic spinor Bose-Einstein condensates confined in a deep optical lattices. In the Mott insulator regime, the ``mini-condensates'' at each lattice site behave as mesoscopic spin magnets that can interact with neighboring sites through both the static magnetic dipolar interaction and the light-induced dipolar interaction. We show that such an array of spin magnets can undergo a ferromagnetic or anti-ferromagnetic phase transition under the magnetic dipolar interaction depending on the dimension of the confining optical lattice. The ground-state spin configurations and related magnetic properties are investigated in detail.