We investigate how the placement of the cold-bath coupling site governs the steady-state particle current in a boundary-driven bosonic chain with power-law hopping. The current is shown to exhibit site-resolved nonmonotonicity as a function of the hopping exponent a, with a peak appearing only when the exit site coincides with a node of a dominant eigenstate of the system Hamiltonian. The result suggests a simple node-to-current correspondence that can be used as a guide for engineering current routing in long-range quantum networks. The present proceeding reports the numerical observation and its physical interpretation, and outlines future work needed to establish the scaling and analytic mechanism in larger systems.
Ulfa et al. (Thu,) studied this question.