Dissipative solitons stabilized by a quantum Zeno-like effect

TL;DR

This paper demonstrates that dissipative solitons in Bose-Einstein condensates and optical systems can be stabilized through periodic modulation of system parameters, inspired by the quantum Zeno effect, analyzed via Painleve integrability.

Contribution

It introduces a novel stabilization method for dissipative solitons using periodic modulation, supported by Painleve analysis of the nonlinear Schrödinger equation.

Findings

Dissipative solitons can be stabilized by periodic modulation.

Painleve integrability condition explains the stabilization mechanism.

Implications for optical and matter-wave soliton transmission.

Abstract

An unstable particle in quantum mechanics can be stabilized by frequent measurements, known as the quantum Zeno effect. A soliton with dissipation behaves like an unstable particle. Similar to the quantum Zeno effect, here we show that the soliton can be stabilized by modulating periodically dispersion, nonlinearity, or the external harmonic potential available in BEC. This can be obtained by analyzing a Painleve integrability condition, which results from the rigorous Painleve analysis of the generalized nonautonomous nonlinear Schrodinger equation. The result has a profound implication to the optical soliton transmission and the matter-wave soliton dynamics.