Effect of a tunnel barrier on time delay statistics.
basic_science · Level V
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- Record sourced from PubMed, PMID 37849184.
- Also identified by DOI 10.1103/PhysRevE.108.034201.
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Abstract
We develop a semiclassical approach for the statistics of the time delay in quantum chaotic systems in the presence of a tunnel barrier, for broken time-reversal symmetry. Results are obtained as asymptotic series in powers of the reflectivity of the barrier, with coefficients that are rational functions of the channel number. Exact expressions, valid for arbitrary reflectivity and channel number, are conjectured and numerically verified for specific families of statistical moments.