Fermion- and Spin-Counting in Strongly Correlated Systems

TL;DR

This paper applies atom counting theory to strongly correlated Fermi and spin systems, revealing critical behavior in moments and providing detailed spatial distributions, aiding understanding of quantum phase transitions.

Contribution

It introduces a method to analyze strongly correlated systems using atom counting, highlighting critical behavior and spatial distributions in quantum phase transitions.

Findings

Counting distributions are sub-Poissonian and smooth at phase transitions.

Moments of distributions exhibit critical behavior.

Spatially resolved counting provides detailed system characterization.

Abstract

We apply the atom counting theory to strongly correlated Fermi systems and spin models, which can be realized with ultracold atoms. The counting distributions are typically sub-Poissonian and remain smooth at quantum phase transitions, but their moments exhibit critical behavior, and characterize quantum statistical properties of the system. Moreover, more detailed characterizations are obtained with experimentally feasible spatially resolved counting distributions.