2006/01/01 by J. Wang, T. S. Monteiro, S. Fishman +7 · 2 citations
Computer Science · Decision Sciences · Mathematics · Physics and Astronomy · Psychology · #Chaos-based Image/Signal Encryption #Cold Atom Physics and Bose-Einstein Condensates #Evaluation and Performance Assessment #Geometry #Gravitation #Identity (music) #Mathematical physics #Mathematics #Phase space #Physics #Planck #Planck length #Planck mass #Planck scale #Political science #Program evaluation #Psychology #Public administration #Quantum #Quantum chaos and dynamical systems #Quantum gravity #Quantum mechanics #Scaling #Semiclassical physics #Sociology #cond-mat.other #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.99.234101
published as Phys. Rev. Lett. 99, 234101(2007) · 5 pages, 4 figures, Revtex, typos removed, further analysis added, authors adjusted
openalex publication_date 2006/01/01 · arxiv created 2007/10/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/11
Previous studies of quantum delta-kicked rotors have found momentum probability distributions with a typical width (localization length L) characterized by fractional variant Planck's over 2pi scaling; i.e., L approximately variant Planck's over 2pi;2/3 in regimes and phase-space regions close to "golden-ratio" cantori. In contrast, in typical chaotic regimes, the scaling is integer, L approximately variant Planck's over 2pi;-1. Here we consider a generic variant of the kicked rotor, the random-pair-kicked particle, obtained by randomizing the phases every second kick; it has no Kol'mogorov-Arnol'd-Moser mixed-phase-space structures, such as golden-ratio cantori, at all. Our unexpected finding is that, over comparable phase-space regions, it also has fractional scaling, but L approximately variant Planck's over 2pi;-2/3. A semiclassical analysis indicates that the variant Planck's over 2pi;2/3 scaling here is of quantum origin and is not a signature of classical cantori.