Hamiltonian dynamics of a particle interacting with a wave field
Daniel Egli, J\"urg Fr\"ohlich, Zhou Gang, Arick Shao, Israel Michael, Sigal
TL;DR
This paper analyzes the Hamiltonian dynamics of a particle in a Bose-Einstein condensate, constructing solutions for subsonic motion and proving its stability in the mean-field limit.
Contribution
It introduces a Hamiltonian framework for particle-condensate interactions and establishes the stability of subsonic trajectories, advancing understanding of mean-field dynamics.
Findings
Constructed solutions for ballistic subsonic motion.
Proved asymptotic stability of subsonic motion.
Analyzed Hamiltonian equations in the mean-field limit.
Abstract
We study the Hamiltonian equations of motion of a heavy tracer particle interacting with a dense weakly interacting Bose-Einstein condensate in the classical (mean-field) limit. Solutions describing ballistic subsonic motion of the particle through the condensate are constructed. We establish asymptotic stability of ballistic subsonic motion.
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