Scars of Invariant Manifolds in Interacting Chaotic Few-Body Systems

Details Scars of Invariant Manifolds in Interacting Chaotic Few-Body Systems Scars of Invariant Manifolds in Interacting Chaotic Few-Body Systems

1997-01-09

arxiv.org/abs/chao-dyn/9701008v2

Phys.Rev.Lett. 80 (1998) 3057

Physics

Condensed Matter

4 pages, RevTeX, 4 PS/EPS-figures, uses psfig.sty, quantum computation changed, to be published in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.80.3057

We present a novel extension of the concept of scars for the wave functions of classically chaotic few-body systems of identical particles with rotation and permutation symmetry. Generically there exist manifolds in classical phase space which are invariant under the action of a common subgroup of these two symmetries. Such manifolds are associated with highly symmetric configurations. If sufficiently stable, the quantum motion on such manifolds displays a notable enhancement of the revival in the autocorrelation function which is not directly associated with individual periodic orbits. Rather, it indicates some degree of localization around an invariant manifold which has collective characteristics that should be experimentally observable.

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