Quantum time-delay in chaotic scattering: a semiclassical approach

Abstract

We study the universal fluctuations of the Wigner-Smith time delay for systems which exhibit chaotic dynamics in their classical limit. We present a new derivation of the semiclassical relation of the quantum time delay to properties of the set of trapped periodic orbits in the repeller. As an application, we calculate the energy correlator in the crossover regime between preserved and fully broken time reversal symmetry. We discuss the range of validity of our results and compare them with the predictions of random matrix theories.

13 latex pages, 3 ps figures. Submitted to Journal of Physics A

References in corpus (4)

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• Parametric Correlations of Phase Shifts and Statistics of Time Delays in Quantum Chaotic Scattering: Crossover between Unitary and Orthogonal Symmetries
• Distribution of parametric conductance derivatives of a quantum dot
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• Correlators for the Wigner-Smith time-delay matrix of chaotic cavities
• Analysis of averaged multichannel delay times
• Semiclassical expansion of parametric correlation functions of the quantum time delay
• Statistics of time delay and scattering correlation functions in chaotic systems II. Semiclassical Approximation
• Open orbits and the semiclassical dwell time
• Time in dissipative tunneling: subtleties and applications
• Semiclassical calculation of time delay statistics in chaotic quantum scattering