String patterns in the doped Hubbard model

TL;DR

This paper investigates the Hubbard model using ultracold fermions in optical lattices, identifying geometric string patterns that shed light on the complex relationship between hole motion and spin order in strongly correlated quantum systems.

Contribution

It demonstrates the use of pattern recognition techniques to detect geometric string patterns in cold-atom realizations of the Hubbard model, advancing understanding of quantum many-body states.

Findings

Detection of geometric string patterns in doped Hubbard systems

Evidence linking hole motion to spin order via pattern analysis

Potential of pattern recognition to elucidate quantum many-body phenomena

Abstract

Understanding strongly correlated quantum many-body states is one of the most difficult challenges in modern physics. For example, there remain fundamental open questions on the phase diagram of the Hubbard model, which describes strongly correlated electrons in solids. In this work we realize the Hubbard Hamiltonian and search for specific patterns within the individual images of many realizations of strongly correlated ultracold fermions in an optical lattice. Upon doping a cold-atom antiferromagnet we find consistency with geometric strings, entities that may explain the relationship between hole motion and spin order, in both pattern-based and conventional observables. Our results demonstrate the potential for pattern recognition to provide key insights into cold-atom quantum many-body systems.