A Brownian Motion Model of Parametric Correlations in Ballistic Cavities
A. M. S. Macedo (UFPE-Brazil)
TL;DR
This paper introduces a Brownian motion model to analyze parametric correlations in transmission eigenvalues of ballistic cavities, revealing universal properties and deriving a formula for fluctuation power spectra that aligns with semiclassical results.
Contribution
It presents a novel Brownian motion framework for studying eigenvalue correlations in ballistic cavities, connecting universal spectral properties with transport fluctuation analysis.
Findings
Universal properties at the spectrum's hard edge
Derived formula for fluctuation power spectrum
Matches semiclassical Lorentzian-squared behavior
Abstract
A Brownian motion model is proposed to study parametric correlations in the transmission eigenvalues of open ballistic cavities. We find interesting universal properties when the eigenvalues are rescaled at the hard edge of the spectrum. We derive a formula for the power spectrum of the fluctuations of transport observables as a response to an external adiabatic perturbation. Our formula correctly recovers the Lorentzian-squared behaviour obtained by semiclassical approaches for the correlation function of conductance fluctuations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.