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

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.

9 pages, 4 figures, submitted to Annalen der Physik

References in corpus (5)

• Perfect Transfer of Arbitrary States in Quantum Spin Networks
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Perfect quantum state transfer with randomly coupled quantum chains
• Optimally designed quantum transport across disordered networks
• Perfect quantum state transfer with spinor bosons on weighted graphs

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• On the existence of superradiant excitonic states in microtubules
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• Robustness of optimal transport in disordered interacting many-body networks
• Random Matrix Ensembles For Many-Body Quantum Systems
• Average-fluctuation separation in energy levels in many-particle quantum systems with $k$-body interactions using $q$-Hermite polynomials
• Structure of wavefunction for interacting bosons in mean-field with random $k$-body interactions
• Non-Equilibrium Many-Body Dynamics Following A Quantum Quench
• Two species $k$-body embedded Gaussian unitary ensembles: $q$-normal form of the eigenvalue density
• Scattering Theory of Efficient Quantum Transport across Finite Networks
• Thermalization in many-fermion quantum systems with one- plus random $k$-body interactions
• Bivariate moments of the two-point correlation function for embedded Gaussian unitary ensemble with $k$-body interactions