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arXiv · 2305.18235

Time delay statistics for chaotic cavities with absorption

Marcel Novaes
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Abstract

We present a semiclassical approach for time delay statistics in quantum chaotic systems, in the presence of absorption, for broken time-reversal symmetry. We derive three kinds of expressions for Schur-moments of the time delay operator: as a power series in inverse channel number, $1/M$, whose coefficients are rational functions of absorption time, $\tau_a$; as a power series in $\tau_a$, tailored to strong absorption, whose coefficients are rational functions of $M$; as a power series in $1/\tau_a$, tailored to weak absorption, whose coefficients are rational functions of $M$.

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Marcel Novaes. 2023-05-25. Time delay statistics for chaotic cavities with absorption. https://arxiv.org/abs/2305.18235

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