1999/05/15 by Shiro Kawabata · 1 citation
Physics and Astronomy · #Chaotic #Chaotic scattering #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Current (fluid) #Dynamical billiards #Integrable system #Mathematical physics #Nuclear physics research studies #Physics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum dynamics #Quantum mechanics #Semiclassical physics #Statistical physics #chao-dyn #cond-mat.mes-hall #nlin.CD
paper · pdf · doi:10.1103/physrevb.59.12256
4 pages (RevTex), to appear in Phys. Rev. B, No.59, 12256-12259 (1999)
openalex publication_date 1999/05/15 · arxiv created 1999/06/01 · arxiv updated 2016/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The persistent current of ballistic chaotic billiards is considered with the help of the Gutzwiller trace formula. We derive the semiclassical formula of a typical persistent current Ityp for a single billiard and an average persistent current 〈I〉 for an ensemble of billiards at finite temperature. These formulas are used to show that the persistent current for chaotic billiards is much smaller than that for integrable ones. The persistent currents in the ballistic regime therefore become an experimental tool to search for the quantum signature of classical chaotic and regular dynamics.