Delay times in chaotic quantum systems
A. M. Mart\'inez-Arg\"uello, A. A. Fern\'andez-Mar\'in, M., Mart\'inez-Mares
TL;DR
This paper derives a general distribution formula for partial delay times in open chaotic quantum systems with arbitrary channels and symmetries, filling a gap in existing knowledge and verified through simulations.
Contribution
It provides a comprehensive expression for delay time distributions across all symmetry classes, expanding the understanding of chaotic quantum systems.
Findings
Distribution formula matches simulation results
Applicable to any number of channels and symmetries
Fills previous gaps in delay time distribution knowledge
Abstract
By an inductive reasoning, and based on recent results of the joint moments of proper delay times of open chaotic systems for ideal coupling to leads, we obtain a general expression for the distribution of the partial delay times for an arbitrary number of channels and any symmetry. This distribution was not completely known for all symmetry classes. Our theoretical distribution is verified by random matrix theory simulations of ballistic chaotic cavities.
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