The Statistics of Chaotic Tunnelling

Details The Statistics of Chaotic Tunnelling The Statistics of Chaotic Tunnelling

1999-09-30

arxiv.org/abs/chao-dyn/9909046v1

Phys.Rev.Lett.84:4084-4087,2000

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Submitted to PRL

Scientific paper

10.1103/PhysRevLett.84.4084

We discuss the statistics of tunnelling rates in the presence of chaotic classical dynamics. This applies to resonance widths in chaotic metastable wells and to tunnelling splittings in chaotic symmetric double wells. The theory is based on using the properties of a semiclassical tunnelling operator together with random matrix theory arguments about wave function overlaps. The resulting distribution depends on the stability of a specific tunnelling orbit and is therefore not universal. However it does reduce to the universal Porter-Thomas form as the orbit becomes very unstable. For some choices of system parameters there are systematic deviations which we explain in terms of scarring of certain real periodic orbits. The theory is tested in a model symmetric double well problem and possible experimental realisations are discussed.

Affiliated with

Also associated with

No associations

Rating

The Statistics of Chaotic Tunnelling 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 The Statistics of Chaotic Tunnelling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Statistics of Chaotic Tunnelling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-65689