Macroscopic Zeno effect and stationary flows in nonlinear waveguides with localized dissipation

TL;DR

This paper theoretically explores the macroscopic Zeno effect in nonlinear waveguides with localized dissipation, revealing stable stationary flows and a non-monotonic relationship between flow and dissipation strength, relevant across various physical systems.

Contribution

It introduces the concept of the macroscopic Zeno effect in nonlinear waveguides with localized dissipation and demonstrates stable stationary flows balancing losses.

Findings

Stable stationary flows exist in nonlinear waveguides with localized dissipation.

The stationary flow exhibits a non-monotonic dependence on dissipation strength.

The results are applicable to atomic condensates, quasi-particles, and optical waveguides.

Abstract

We theoretically demonstrate the possibility to observe the macroscopic Zeno effect for nonlinear waveguides with a localized dissipation. We show the existence of stable stationary flows, which are balanced by the losses in the dissipative domain. The macroscopic Zeno effect manifests itself in the non-monotonic dependence of the stationary flow on the strength of the dissipation. In particular, we highlight the importance of the parameters of the dissipation to observe the phenomenon. Our results are applicable to a large variety of systems, including condensates of atoms or quasi-particles and optical waveguides.