Phys. Rev. Lett. 90, 234101 (2003) [4 pages]Scars on Quantum Networks Ignore the Lyapunov ExponentReceived 24 February 2003; published 9 June 2003 We show that enhanced wave function localization due to the presence of short unstable orbits and strong scarring can rely on completely different mechanisms. Specifically we find that in quantum networks the shortest and most stable orbits do not support visible scars, although they are responsible for enhanced localization in the majority of the eigenstates. Scarring orbits are selected by a criterion which does not involve the classical stability. We obtain predictions for the energies of visible scars and the distributions of scarring strengths and inverse participation numbers. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.90.234101
DOI:
10.1103/PhysRevLett.90.234101
PACS:
05.45.Mt, 03.65.Sq, 89.75.Hc
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.