Failure of random matrix theory to correctly describe quantum dynamics

Details Failure of random matrix theory to correctly describe quantum dynamics Failure of random matrix theory to correctly describe quantum dynamics

2001-05-14

arxiv.org/abs/cond-mat/0105274v1

Phys. Rev. E 64, 065202-R (2001).

Physics

Condensed Matter

4 pages, 4 figures

Scientific paper

10.1103/PhysRevE.64.065202

Consider a classically chaotic system which is described by a Hamiltonian H_0. At t=0 the Hamiltonian undergoes a sudden-change H_0 -> H. We consider the quantum-mechanical spreading of the evolving energy distribution, and argue that it cannot be analyzed using a random-matrix theory (RMT) approach. RMT can be trusted only to the extend that it gives trivial results that are implied by first-order perturbation theory. Non-perturbative effects are sensitive to the underlying classical dynamics, and therefore the hbar-->0 behavior for effective RMT models is strikingly different from the correct semiclassical limit.

Affiliated with

Also associated with

No associations

Rating

Failure of random matrix theory to correctly describe quantum dynamics 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 Failure of random matrix theory to correctly describe quantum dynamics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Failure of random matrix theory to correctly describe quantum dynamics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-633107