Comparative study for two-terminal transport through a lossy one-dimensional quantum wire

Abstract

Motivated by realization of the 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 the particle loss is absent. The obtained formulas are also consistent with non-hermitian and three-terminal Landauer-Büttiiker analyses. The universality on the current expressions holds regardless of quantum statistics and may be useful for understanding lossy two-terminal transport in terms of three-terminal transport and vice versa.

15 pages, 1 figure

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Cited by in corpus (10)

• Superfluid signatures in a dissipative quantum point contact
• Nonlinear transport in the presence of a local dissipation
• DC transport in a dissipative superconducting quantum point contact
• Dissipative realization of Kondo models
• Correlation versus dissipation in a non-Hermitian Anderson impurity model
• Quantum wires with local particle loss: Transport manifestations of fluctuation-induced effects
• Saturation of thermal and spin conductances in a dissipative superfluid junction
• Effects of internal and external decoherence on the resonant transport and Anderson localization of fermionic particles in the tight-binding chain
• Generalization of the Landauer-Büttiker theory onto the case of dissipative contacts
• Quantum Point Contact with Local Two-body Loss