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Ehrenfest Time and the Coherent Backscattering Off Ballistic Cavities

Year: 2006
Type: article
Abstract: If the Ehrenfest time ${\ensuremath{\tau}}_{\mathrm{E}}$ of a ballistic cavity is not negligible in comparison to its dwell time ${\ensuremath{\tau}}_{\mathrm{D}}$, the weak localization correction to the cavity's transmission is suppressed proportional to $\mathrm{exp}(\ensuremath{-}{\ensuremath{\tau}}_{\mathrm{E}}/{\ensuremath{\tau}}_{\mathrm{D}})$. 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 ${\ensuremath{\tau}}_{\mathrm{E}}\ensuremath{\gtrsim}{\ensuremath{\tau}}_{\mathrm{D}}$.
Institution: Cornell University
Language: English
Open Access status: green
OpenAlex ID: W2074792978
FWCI: 5.361
Cites: 15
Cited by: 35
Related to: 10