Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit

Details Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit

2011-02-02

arxiv.org/abs/1102.0345v1

Phys. Rev. E vol 81 066210 (2010)

Physics

Quantum Physics

8 pages, 8 figures

Scientific paper

10.1103/PhysRevE.81.066210

We study the number of propagating Bloch modes N_B of an infinite periodic billiard chain. The asymptotic semiclassical behavior of this quantity depends on the phase-space dynamics of the unit cell, growing linearly with the wavenumber k in systems with a non-null measure of ballistic trajectories and going like ~ sqrt(k) in diffusive systems. We have calculated numerically N_B for a waveguide with cosine-shaped walls exhibiting strongly diffusive dynamics. The semiclassical prediction for diffusive systems is verified to good accuracy and a connection between this result and the universality of the parametric variation of energy levels is presented.

Affiliated with

Also associated with

No associations

Rating

Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit 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 Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-79722