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- W2150745318 abstract "We present a semiclassical theory for the scattering matrix $mathcal{S}$ of a chaotic ballistic cavity at finite Ehrenfest time. Using a phase-space representation coupled with a multibounce expansion, we show how the Liouville conservation of phase-space volume decomposes $mathcal{S}$ as $mathcal{S}={mathcal{S}}^{mathrm{cl}}ensuremath{bigoplus}{mathcal{S}}^{mathrm{qm}}$. The short-time, classical contribution ${mathcal{S}}^{mathrm{cl}}$ generates deterministic transmission eigenvalues $T=0$ or 1, while quantum ergodicity is recovered within the subspace corresponding to the long-time, stochastic contribution ${mathcal{S}}^{mathrm{qm}}$. 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." @default.
- W2150745318 created "2016-06-24" @default.
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- W2150745318 date "2005-03-22" @default.
- W2150745318 modified "2023-10-18" @default.
- W2150745318 title "Microscopic Theory for the Quantum to Classical Crossover in Chaotic Transport" @default.
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- W2150745318 doi "https://doi.org/10.1103/physrevlett.94.116801" @default.
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