# Simulating a Mott insulator using attractive interaction

## TL;DR

This paper demonstrates a novel quantum simulation approach by mapping charge and spin degrees of freedom in the Hubbard model using ultracold fermionic atoms, revealing a state with incompressible magnetization for attractive interactions.

## Contribution

It introduces an experimental method to simulate strongly-correlated phases of matter via particle-hole symmetry mapping in ultracold atom systems.

## Key findings

- Observation of a state with incompressible magnetization
- Mapping between charge and spin degrees of freedom
- Access to strongly-correlated phases through experimental observables

## Abstract

We study the particle-hole symmetry in the Hubbard model using ultracold fermionic atoms in an optical lattice. We demonstrate the mapping between charge and spin degrees of freedom and, in particular, show the occurrence of a state with "incompressible" magnetisation for attractive interactions. Our results present a novel approach to quantum simulation by giving access to strongly-correlated phases of matter through an experimental mapping to easier detectable observables.