Signatures of homoclinic motion in quantum chaos

Details Signatures of homoclinic motion in quantum chaos Signatures of homoclinic motion in quantum chaos

2004-02-13

arxiv.org/abs/nlin/0402022v2

Phys. Rev. Lett. 94 054101 (2005)

Nonlinear Sciences

Chaotic Dynamics

5 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.94.054101

Homoclinic motion plays a key role in the organization of classical chaos in Hamiltonian systems. In this Letter, we show that it also imprints a clear signature in the corresponding quantum spectra. By numerically studying the fluctuations of the widths of wavefunctions localized along periodic orbits we reveal the existence of an oscillatory behavior, that is explained solely in terms of the primary homoclinic motion. Furthermore, our results indicate that it survives the semiclassical limit.

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