Quantum atom optics with fermions from molecular dissociation

TL;DR

This paper models fermionic atom optics via molecular dissociation, deriving analytic solutions for quantum dynamics, and establishing bounds for correlations that indicate potential for ideal particle number squeezing.

Contribution

It introduces a theoretical model for fermionic atom optics from molecular dissociation and provides analytic solutions for short-time quantum dynamics.

Findings

Derived analytic solutions for mode occupancies and pair correlations.

Identified upper bounds for fermionic correlation functions.

Demonstrated potential for ideal particle number-difference squeezing.

Abstract

We study a fermionic atom optics counterpart of parametric down-conversion with photons. This can be realized through dissociation of a Bose-Einstein condensate of molecular dimers consisting of fermionic atoms. We present a theoretical model describing the quantum dynamics of dissociation and find analytic solutions for mode occupancies and atomic pair correlations, valid in the short time limit. The solutions are used to identify upper bounds for the correlation functions, which are applicable to any fermionic system and correspond to ideal particle number-difference squeezing