Simulating a Mott insulator using attractive interaction

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.

References in corpus (18)

• The electronic properties of graphene
• A Mott insulator of fermionic atoms in an optical lattice
• Experimental realization of a long-range antiferromagnet in the Hubbard model with ultracold atoms
• Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
• Fermi-Hubbard physics with atoms in an optical lattice
• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
• Amplitude / Higgs Modes in Condensed Matter Physics
• Observation of Spatial Charge and Spin Correlations in the 2D Fermi-Hubbard Model
• Probing quench dynamics across a quantum phase transition into a 2D Ising antiferromagnet
• Site-resolved imaging of a fermionic Mott insulator
• Quantum Monte Carlo study of the two-dimensional fermion Hubbard Model
• Higgs mode in a strongly interacting fermionic superfluid
• Observation of 2D fermionic Mott insulators of ${}^{40}$K with single-site resolution
• Equation of state of the two-dimensional Hubbard model
• Quantum Simulation of the Hubbard Model: The Attractive Route
• Antiferromagnetic correlations in two-dimensional fermionic Mott-insulating and metallic phases
• Coherent Manipulation of Spin Correlations in the Hubbard Model

Cited by in corpus (9)

• Exploration of doped quantum magnets with ultracold atoms
• Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
• Finite temperature study of correlations in bilayer band-insulator
• Increasing superconducting $T_c$ by layering in the attractive Hubbard model
• Efficiently measuring $d$-wave pairing and beyond in quantum gas microscopes
• Interplay of disorder and interactions in the bilayer band-insulator : A determinant quantum Monte Carlo study
• A universal pairing gap measurement proposal by dynamical excitations in 2D doped attractive Fermi-Hubbard model with spin-orbit coupling
• Dynamical structure factor and a new method to measure the pairing gap in two-dimensional attractive Fermi-Hubbard model
• Novel dynamical excitations and roton-based measurement of Cooper-pair momentum in a two-dimensional Fulde-Ferrell-Larkin-Ovchinnikov superfluid on optical lattices