English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Resonance Eigenfunction Hypothesis for Chaotic Systems

MPS-Authors
/persons/resource/persons184327

Bäcker,  Arnd
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

/persons/resource/persons184641

Ketzmerick,  Roland
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

1803.02631.pdf
(Preprint), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Clauss, K., Koerber, M. J., Bäcker, A., & Ketzmerick, R. (2018). Resonance Eigenfunction Hypothesis for Chaotic Systems. Physical Review Letters, 121(7): 074101. doi:10.1103/PhysRevLett.121.074101.


Cite as: https://hdl.handle.net/21.11116/0000-0002-107D-0
Abstract
A hypothesis about the average phase-space distribution of resonance eigenfunctions in chaotic systems with escape through an opening is proposed. Eigenfunctions with decay rate gamma are described by a classical measure that (i) is conditionally invariant with classical decay rate gamma and (ii) is uniformly distributed on sets with the same temporal distance to the quantum resolved chaotic saddle. This explains the localization of fast-decaying resonance eigenfunctions classically. It is found to occur in the phase-space region having the largest distance to the chaotic saddle. We discuss the dependence on the decay rate gamma and the semiclassical limit. The hypothesis is numerically demonstrated for the standard map.