Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2004-08-23
Phys. Rev. Lett. 94, 116801 (2005)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
PRL version, added comment about 2 Ehrenfest times (4pages, 2figs)
Scientific paper
10.1103/PhysRevLett.94.116801
We present a semiclassical theory for the scattering matrix ${\cal S}$ of a chaotic ballistic cavity at finite Ehrenfest time. Using a phase-space representation coupled with a multi-bounce expansion, we show how the Liouville conservation of phase-space volume decomposes ${\cal S}$ as ${\cal S}={\cal S}^{\rm cl} \oplus {\cal S}^{\rm qm}$. The short-time, classical contribution ${\cal S}^{\rm cl}$ generates deterministic transmission eigenvalues T=0 or 1, while quantum ergodicity is recovered within the subspace corresponding to the long-time, stochastic contribution ${\cal S}^{\rm qm}$. This provides a microscopic foundation for the two-phase fluid model, in which the cavity acts like a classical and a quantum cavity in parallel, and explains recent numerical data showing the breakdown of universality in quantum chaotic transport in the deep semiclassical limit. We show that the Fano factor of the shot-noise power vanishes in this limit, while weak localization remains universal.
Jacquod Ph.
Whitney Robert S.
No associations
LandOfFree
Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport 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 Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-303552