Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions

TL;DR

This paper studies ultracold spin-2 atoms in 3D optical lattices, deriving an effective Hamiltonian to explore phase diagrams and quantum phase transitions between magnetic states.

Contribution

It introduces a detailed effective Hamiltonian for spin-2 atoms in optical lattices, analyzing spin ordering and phase transitions in Mott states.

Findings

Derived phase diagrams for magnetic phases.

Identified quantum phase transitions between different spin orders.

Analyzed hyperfine spin correlations in Mott states.

Abstract

We consider ultracold matter of spin-2 atoms in optical lattices. We derive an effective Hamiltonian for the studies of spin ordering in Mott states and investigate hyperfine spin correlations. Particularly, we diagonalize the Hamiltonian in an on-site Hilbert space taking into account spin-dependent interactions and exchange between different sites. We obtain phase diagrams and quantum phase transitions between various magnetic phases.