Quantum efficiencies in finite disordered networks connected by many‐body interactions. Issue 9 (30th June 2015)

• Record Type: Journal Article
• Authors: Ortega, Adrian; Vyas, Manan; Benet, Luis
• Is Part Of: Annalen der Physik. Volume 527:Issue 9/10(2015:Sep.)
• Page Start: 748
• Page End: 756
• Publication Date: 2015-06-30
• Subjects: Disordered networks -- quantum state transfer -- many‐body interactions -- embedded ensembles; Physics -- Periodicals; Chemistry -- Periodicals; 530.05
• DOI: 10.1002/andp.201500140
• Languages: English
• ISSNs: 0003-3804

Abstract

Abstract : Disordered centrosymmetric networks of fermionic or bosonic many‐body systems with few‐body interactions display remarkable statistical properties of the best transport efficiencies attained, with non‐zero probability for perfect state transfer. 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.