Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice

TL;DR

This paper proposes a method to realize a non-trivial Haldane phase in a two-component Fermi gas in a 1D optical lattice, combining theoretical derivation and numerical simulation to demonstrate its formation in a trapped system.

Contribution

It introduces a novel approach to create a Haldane phase in atomic Fermi gases by deriving an effective spin model and validating it with DMRG simulations.

Findings

Haldane phase can be formed on the p-band Mott core in a 1D optical lattice.

The effective S=1 chain model accurately describes the system.

Numerical results confirm the presence of Haldane phase features.

Abstract

We propose how to create a non-trivial Haldane phase in atomic two-component Fermi-gas loaded on one-dimensional (1-D) optical lattice with trap potential. The Haldane phase is naturally formed on $p$-band Mott core in a wide range of the strong on-site repulsive interaction. The present proposal is composed of two steps, one of which is theoretical derivation of an effective 1-D S=1 interacting-chain model from the original tight-binding Hamiltonian handling the two $p$-orbitals, and the other of which is numerical demonstration employing the density-matrix renormalization-group for the formation of the Haldane phase on $p$-band Mott core and its associated features in the original tight-binding model with the harmonic trap potential.