Gauge field in ultra-cold bipartite atoms

TL;DR

This paper investigates how entanglement and spin-spin collisions influence gauge fields in ultracold atoms, revealing that entanglement alters scalar potentials and affects atomic motion.

Contribution

It introduces two gauge fields in ultracold atoms, highlighting the impact of entanglement and spin-spin interactions on these gauge fields and atomic dynamics.

Findings

Entanglement affects the scalar potential in ultracold atoms.

Two gauge fields are derived: one from spin-spin collisions, another from Born-Oppenheimer separation.

Entangled states eliminate the additional scalar potential.

Abstract

The effects of entanglement and spin-spin collision on the gauge field in ultracold atoms are presented in this paper. Two gauge fields are calculated and discussed. One of the fields comes from space dependent spin-spin collisions in ultra-cold atoms, while another results from the usual Born-Oppenheimer method, which separates the center-of-mass motion from the relative motion in the two-body problem. Adiabatic conditions that lead to the key results of this paper are also presented and discussed. Entanglement shared between the two atoms is shown to affect the atomic motion. In the presence of entanglement, the additional scalar potential disappears, this is different from the case of atoms in separable states.