Complex Quantum Networks: From Universal Breakdown to Optimal Transport

Abstract

We study the transport efficiency of excitations on complex quantum networks with loops. For this we consider sequentially growing networks with different topologies of the sequential subgraphs. This can lead either to a universal complete breakdown of transport for complete-graph-like sequential subgraphs or to optimal transport for ring-like sequential subgraphs. The transition to optimal transport can be triggered by systematically reducing the number of loops of complete-graph-like sequential subgraphs in a small-world procedure. These effects are explained on the basis of the spectral properties of the network's Hamiltonian. Our theoretical considerations are supported by numerical Monte-Carlo simulations for complex quantum networks with a scale-free size distribution of sequential subgraphs and a small-world-type transition to optimal transport.

5 pages, 2 figures

References in corpus (3)

• Interdisciplinary and physics challenges of Network Theory
• Quantum transport on small-world networks: A continuous-time quantum walk approach
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• Complex Quantum Networks: a Topical Review
• Emergent entanglement structures and self-similarity in quantum spin chains
• Local probe for connectivity and coupling strength in quantum complex networks
• Identifying network topologies via quantum walk distributions
• Exactly solvable tight-binding models on two scale-free networks with identical degree distribution
• Network structure and dynamics of effective models of non-equilibrium quantum transport