Eigenstates Ignoring Regular and Chaotic Phase-Space Structures

2002/04/26 by Lars Hufnagel, Roland Ketzmerick, Marc-Felix Otto +1 · 4 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.1103/physrevlett.89.154101

published as Phys. Rev. Lett. 89 (2002) 154101 · color figures

arxiv created 2002/04/26 · openalex publication_date 2002/09/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report the failure of the semiclassical eigenfunction hypothesis if regular classical transport coexists with chaotic dynamics. All eigenstates, instead of being restricted to either a regular island or the chaotic sea, ignore these classical phase-space structures. We argue that this is true even in the semiclassical limit for extended systems with transporting regular islands such as the standard map with accelerator modes.

Citations

• Distribution functions in physics: Fundamentals
• Postmodern Quantum Mechanics
• Semiclassical level spacings when regular and chaotic orbits coexist
• Electrons in disordered systems and the theory of localization

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