Breathing mode for systems of interacting particles

TL;DR

This paper presents a unified theoretical framework for analyzing the breathing mode in trapped interacting particle systems, applicable across various interaction types and strengths, and supported by numerical simulations.

Contribution

It introduces a dynamical ansatz within the BBGKY hierarchy to generalize and unify previous results on the breathing mode across different interactions.

Findings

Universal characteristics of the breathing mode are identified.

The approach applies to both linear and nonlinear regimes.

Numerical simulations confirm the theoretical predictions.

Abstract

We study the breathing mode in systems of trapped interacting particles. Our approach, based on a dynamical ansatz in the first equation of the Bogolyubov-Born-Green-Kirkwood-Yvon (BBGKY) hierarchy allows us to tackle at once a wide range of power law interactions and interaction strengths, at linear and non linear levels. This both puts in a common framework various results scattered in the literature, and by widely generalizing these, emphasizes universal characters of this breathing mode. Our findings are supported by direct numerical simulations.