Existence and Vanishing of the Breathing Mode in Strongly Correlated Finite Systems

Abstract

One of the fundamental eigenmodes of finite interacting systems is the mode of {\em uniform radial expansion and contraction} -- the ``breathing'' mode (BM). Here we show in a general way that this mode exists only under special conditions: i) for harmonically trapped systems with interaction potentials of the form $1/r^{\gamma }$ $(\gamma \in {\mathbb{R}}_{\ne 0})$ or $\log (r)$, or ii) for some systems with special symmetry such as single shell systems forming platonic bodies. Deviations from the BM are demonstrated for two examples: clusters interacting with a Lennard-Jones potential and parabolically trapped systems with Yukawa repulsion. We also show that vanishing of the BM leads to the occurence of multiple monopole oscillations which is of importance for experiments.

References in corpus (1)

• Classical and quantum Coulomb crystals

Cited by in corpus (5)

• Probability of metastable configurations in spherical three-dimensional Yukawa crystals
• Quantum Breathing Mode of Interacting Particles in a One-dimensional Harmonic Trap
• Structural transitions of finite spherical Yukawa crystals
• Collective excitations of a spherically confined Yukawa plasma
• Fluid Modes of a Spherically Confined Yukawa Plasma