Quantum efficiencies in finite disordered networks connected by many-body interactions

TL;DR

This paper investigates how many-body interactions and symmetries in disordered finite networks influence quantum transfer efficiency, revealing conditions for near-perfect state transfer in bosonic and fermionic systems.

Contribution

It demonstrates that imposing centrosymmetry or centrohermiticity significantly enhances quantum efficiency in disordered networks with many-body interactions.

Findings

Centrosymmetry improves quantum transfer efficiency.

Near-perfect transfer achieved in bosonic systems with few particles.

Maximal enhancement occurs when all but one single-particle levels are occupied.

Abstract

The quantum efficiency in the transfer of an initial excitation in disordered finite networks, modeled by the $k$-body embedded Gaussian ensembles of random matrices, is studied for bosons and fermions. The influence of the presence or absence of time-reversal symmetry and centrosymmetry/centrohermiticity are addressed. For bosons and fermions, the best efficiencies of the realizations of the ensemble are dramatically enhanced when centrosymmetry (centrohermiticity) is imposed. For few bosons distributed in two single-particle levels this permits perfect state transfer for almost all realizations when one-particle interactions are considered. For fermionic systems the enhancement is found to be maximal for cases when all but one single particle levels are occupied.