Suppression or enhancement of the Fulde-Ferrell-Larkin-Ovchinnikov order in a one-dimensional optical lattice with particle correlated tunnelling

TL;DR

This study uses numerical simulations to explore how particle correlated tunnelling influences the FFLO state in a one-dimensional optical lattice, revealing suppression or enhancement of this order and resulting in diverse magnetic phases.

Contribution

It demonstrates that particle correlated hopping can control the presence of FFLO order and induce novel magnetic phases in a strongly interacting fermionic system.

Findings

Negative correlated hopping enhances FFLO order.

Positive correlated hopping suppresses FFLO, leading to magnetic phases.

Different phase separation patterns depend on hopping rate.

Abstract

We study through controlled numerical simulation the ground state properties of spin-polarized strongly interacting fermi gas in an anisotropic optical lattice, which is described by an effective one-dimensional general Hubbard model with particle correlated hopping rate. We show that the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) type of state, while enhanced by a negative correlated hopping rate, can be completely suppressed by positive particle correlated hopping, yielding to an unusual magnetic phase even for particles with on-site attractive interaction We also find several different phase separation patterns for these atoms in an inhomogeneous harmonic trap, depending on the correlated hopping rate.