Spin dynamics of two bosons in an optical lattice site: a role of anharmonicity and anisotropy of the trapping potential

TL;DR

This paper investigates how anharmonicity and anisotropy in an optical lattice site affect the spin dynamics of two magnetic Chromium atoms, revealing detailed energy spectra and their influence on phenomena like the Einstein-de Haas effect.

Contribution

It provides a detailed analysis of how trap geometry influences spin dynamics and energy spectra in a two-atom system with dipolar interactions, highlighting the role of anharmonicity and anisotropy.

Findings

Anharmonicity and anisotropy create a fine structure in the energy spectrum.

Weak dipolar interactions enable precise spectroscopy of the system.

Trap geometry significantly influences the spin dynamics and energy levels.

Abstract

We study a spin dynamics of two magnetic Chromium atoms trapped in a single site of a deep optical lattice in a resonant magnetic field. Dipole-dipole interactions couple spin degrees of freedom of the two particles to their motion in the site. The motion is quantized, therefore a trap geometry combined with two-body contact s-wave interactions influence a spin dynamics through the energy spectrum of the two atom system. Anharmonicity and anisotropy of the site results in a `fine' structure of two body eigenenergies. The structure can be easily resolved by a weak magnetic dipole-dipole interactions. As an example we examine the effect of anharmonicity and anisotropy of the binding potential on the Einstein-de Haas effect. We show that the weak dipolar interactions provide a perfect tool for a precision spectroscopy of the energy spectrum of the interacting few particle system.