Comparative study for two-terminal transport through a lossy one-dimensional quantum wire
Shun Uchino
Abstract
Motivated by the realization of a dissipative quantum point contact in ultracold atomic gases, we investigate a two-terminal mesoscopic transport system in which a single-particle loss is locally present in a one-dimensional chain. By means of the Dyson equation approach in the Keldysh formalism that can incorporate dissipative effects, we reveal analytic structures of the particle and energy currents whose formal expressions correspond to ones in certain three-terminal systems where particle loss is absent. The obtained formulas are also consistent with non-Hermitian and three-terminal Landauer-B\"uttiker analyses. The universality of the current expressions holds regardless of the quantum statistics, and may be useful for understanding lossy two-terminal transport in terms of three-terminal transport and vice versa.