Two ultracold highly magnetic atoms in a one-dimensional harmonic trap

TL;DR

This paper provides a theoretical analysis of two highly magnetic ultracold atoms in a one-dimensional trap, exploring how magnetic fields, interactions, and symmetries influence their properties and dynamics, relevant for quantum simulation.

Contribution

It introduces a model for two interacting magnetic atoms in 1D, incorporating anisotropic dipole interactions and symmetry effects, advancing understanding of quantum simulators.

Findings

Magnetization depends on external magnetic field and interactions.

Symmetries influence the dynamics and measurable observables.

The model relates to on-site interactions in extended Hubbard models.

Abstract

We theoretically investigate the properties of two interacting ultracold highly magnetic atoms trapped in a one-dimensional harmonic potential. The atoms interact via an anisotropic long-range dipole-dipole interaction, which in one dimension effectively can be modeled by the contact interaction. We investigate the interplay of the external magnetic field, the spin-spin interaction, and the trapping potential and how they affect the magnetization of the system. We show the role of indistinguishability and symmetries in the dynamics by studying the time evolution of the observables that could be measured experimentally. The presented model may depict the on-site interaction of the extended Hubbard models, therefore giving a better understanding of the fundamental building block of the respective many-body quantum simulators.