Slightly imbalanced system of a few attractive fermions in a one-dimensional harmonic trap

TL;DR

This paper investigates the ground-state properties of a small, slightly imbalanced two-flavor attractive fermion system in a one-dimensional harmonic trap, revealing altered pairing features compared to the balanced case.

Contribution

It provides new insights into how slight imbalance affects pairing and correlations in few-fermion systems confined in one dimension.

Findings

Pairing features differ significantly in slightly imbalanced systems

Correlated pair fraction is reduced by additional particles

Uncorrelated two-body orbitals dominate the ground state

Abstract

The ground-state properties of the two-flavored mixture of a few attractive fermions confined in a one-dimensional harmonic trap is studied. It is shown that for slightly imbalanced system the pairing between fermions of opposite spins has completely different features that in the balanced case. The fraction of correlated pairs is suppressed by the presence of additional particle and another uncorrelated two-body orbital dominates in the ground-state of the system.