Feshbach resonances in a nonseparable trap

TL;DR

This paper investigates how Feshbach resonances affect two atoms in arbitrary traps, accounting for coupling between their center of mass and relative motion, with a focus on nonseparable potentials like different harmonic traps.

Contribution

It introduces a method to analyze energy levels and molecular state occupations considering nonseparable trapping potentials and center of mass-relative motion coupling.

Findings

Derived energy levels for atoms in arbitrary traps with Feshbach resonance

Analyzed coupling effects between center of mass and relative motion

Applied framework to heteronuclear atoms in harmonic traps

Abstract

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between center of mass and relative motion induced by the trap. As a specific example we discuss the case of different atomic species in harmonic potential, where each atom feels different trapping frequency.