Shape effects of localized losses in quantum wires: dissipative resonances and nonequilibrium universality

TL;DR

This paper investigates how the spatial structure of localized losses in quantum wires influences transport and scattering, revealing resonant effects, the robustness of the quantum Zeno effect, and a continuous line of fixed points in the RG flow.

Contribution

It introduces a detailed analysis of the impact of impurity shape on dissipative resonances and nonequilibrium universality in quantum wires, extending understanding beyond coherent scatterers.

Findings

Resonant effects in transport properties due to multiple dissipative impurities.

Impurity shape modifies scattering probability scaling near the Fermi momentum.

Quantum Zeno effect remains robust, while transparency is continuously lifted.

Abstract

We study the effects of the spacial structure of localized losses in weakly-interacting fermionic quantum wires. We show that multiple dissipative impurities give rise to resonant effects visible in the transport properties and the particles' momentum distribution. These resonances can enhance or suppress the effective particle losses in the wire. Moreover, we investigate the interplay between interactions and the impurity shape and find that, differently from the coherent scatterer case, the impurity shape modifies the scaling of the scattering probabilities close to the Fermi momentum. We show that, while the fluctuation-induced quantum Zeno effect is robust against the shape of the impurities, the fluctuation-induced transparency is lifted continuously. This is reflected in the emergence of a continuous line of fixed points in the renormalization group flow of the scattering probabilities.