Time delay statistics for chaotic cavities with absorption

2023/05/25 by Marcel Novaes, Novaes, Marcel
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2305.18235

openalex publication_date 2023/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, τ_a; as a power series in τ_a, tailored to strong absorption, whose coefficients are rational functions of M; as a power series in 1/τ_a, tailored to weak absorption, whose coefficients are rational functions of M.

Related

• Effect of a tunnel barrier on time delay statistics
• Delay times and reflection in chaotic cavities with absorption
• Statistics of time delay in quantum chaotic transport
• Statistics of time delay and scattering correlation functions in chaotic systems. II. Semiclassical approximation
• Distribution of Proper Delay Times in Quantum Chaotic Scattering: A Crossover from Ideal to Weak Coupling