Ground state properties of a one-dimensional strongly-interacting Bose-Fermi mixture in a double-well potential

TL;DR

This study investigates the ground state properties of a strongly interacting one-dimensional Bose-Fermi mixture in a double-well potential, revealing differences based on the parity of particle numbers and providing an efficient computational method.

Contribution

The paper introduces a derived formula for efficient calculation of the RSPDM in mesoscopic Bose-Fermi mixtures across various potentials, highlighting parity-dependent ground state differences.

Findings

Even mixtures have smooth momentum distributions.

Odd mixtures exhibit modulated momentum distributions.

Ground state properties differ significantly between even and odd particle number mixtures.

Abstract

We calculate the reduced single-particle density matrix (RSPDM), momentum distributions, natural orbitals and their occupancies, for a strongly interacting one-dimensional Bose-Fermi mixture in a double-well potential with a large central barrier. For mesoscopic systems, we find that the ground state properties qualitatively differ for mixtures with even number of particles (both odd-odd and even-even mixtures) in comparison to mixtures with odd particle numbers (odd-even and even-odd mixtures). For even mixtures the momentum distribution is smooth, whereas the momentum distribution of odd mixtures possesses distinct modulations; the differences are observed also in the off-diagonal correlations of the RSPDM, and in the occupancies of natural orbitals. The calculation is based on a derived formula which enables efficient calculation of the RSPDM for mesoscopic mixtures in various potentials.