Effect of symmetry on quantum transport across disordered networks connected by many-body interactions

Abstract The efficient transport of particles or excitations (known as quantum efficiency) within a quantum system is a very important as well as a challenging part of nanotechnology. It plays a crucial role in devices at nano-scale, solar cell physics, quantum computers, photosynthesis, etc. Hence, it is important to find out under what conditions near-to-perfect transport between two states of such small disordered interacting quantum system can be improved. In the present work, we study influence of centrosymmetry on transport efficiencies of an initial localized excitation in disordered finite network, modeled by k-body Embedded Gaussian Orthogonal Ensembles of random matrices EGOE(k). Here firstly we analyze disordered fermionic network of d sites, modeled by three different ensembles that include many-body interactions: (i) EGOE(k) without centrosymmetry, (ii) EGOE(k) with centrosymmetry present in both k as well as in m particle spaces [denoted as csEGOE(k)] and (iii) EGOE(k) with centrosymmetry present in k-particle space (not in the m -particle space) [denoted as EGOE(k-cs)]. Similarly, we also analyze disordered bosonic network modeled by these three ensembles. We found that presence of centrosymmetry enhances quantum efficiency both for fermionic as well as bosonic networks. The results agree with those obtained in the past by Ortega et al. [Ann. Phys. (Berlin) 527 (2015) 748].