Ehrenfest time and the coherent backscattering off ballistic cavities

Abstract

If the Ehrenfest time tau_E of a ballistic cavity is not negligible in comparison to its dwell time tau_D, the weak localization correction to the cavity's transmission is suppressed proportional to exp(-tau_E/tau_D). At the same time, quantum interference enhances the probability of reflection into the mode of incidence by a factor two. This `enhanced backscattering' does not depend on the Ehrenfest time. We show that, in addition to the diagonal enhanced backscattering, there are off-diagonal contributions to coherent backscattering that become relevant if the Ehrenfest time is not negligible.

Revised version, 4 pages, 2 figures

References in corpus (5)

• Semiclassical Theory of Chaotic Conductors
• Ehrenfest time dependent suppression of weak localization
• Dynamical model for the quantum-to-classical crossover of shot noise
• Ehrenfest-time dependence of weak localization in open quantum dots
• Classical limit of transport in quantum kicked maps

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