Fractal Weyl law for quantum fractal eigenstates

Details Fractal Weyl law for quantum fractal eigenstates Fractal Weyl law for quantum fractal eigenstates

2007-09-14

arxiv.org/abs/0709.2336v2

Phys. Rev. E. v.77, p.015202(R) (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 5 figs, minor modifications, research at http://www.quantware.ups-tlse.fr/

Scientific paper

10.1103/PhysRevE.77.015202

The properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption. It is shown that the number of such states is described by the fractal Weyl law and their Husimi distributions closely follow the strange repeller set formed by classical orbits nonescaping in future times. For large matrices the distribution of escape rates converges to a fixed shape profile characterized by a spectral gap related to the classical escape rate.

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