Avoided level crossing statistics in open chaotic billiards

Details Avoided level crossing statistics in open chaotic billiards Avoided level crossing statistics in open chaotic billiards

2009-06-03

arxiv.org/abs/0906.0753v2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 80, 3 (2009) 035204(R)

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.80.035204

We investigate a two-level model with a large number of open decay channels in order to describe avoided level crossing statistics in open chaotic billiards. This model allows us to describe the fundamental changes of the probability distribution of the avoided level crossings compared with the closed case. Explicit expressions are derived for systems with preserved and broken Time Reversal Symmetry (TRS). We find that the decay process induces a modification at small spacings of the probability distribution of the avoided level crossings due to an attraction of the resonances. The theoretical predictions are in complete agreement with the recent experimental results of Dietz \textit{et al.} (Phys. Rev. E {\bf 73} (2006) 035201).

Affiliated with

Also associated with

No associations

Rating

Avoided level crossing statistics in open chaotic billiards does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Avoided level crossing statistics in open chaotic billiards, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Avoided level crossing statistics in open chaotic billiards will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194395