Quantum Fractal Eigenstates
Giulio Casati, Giulio Maspero, Dima L. Shepelyansky
TL;DR
This paper investigates quantum chaos in open systems, revealing that eigenstates form fractal patterns on classical strange repellers and that long-lived states exhibit scarred structures on these fractals.
Contribution
It introduces the concept of quantum fractal eigenstates and links their properties to classical chaotic structures in open quantum systems.
Findings
Eigenstates are fractal and located on classical strange repellers.
Long-lived eigenstates show scarred structures on fractals.
Quantum chaos characterized by fractal eigenstates in open systems.
Abstract
We study quantum chaos in open dynamical systems and show that it is characterized by quantum fractal eigenstates located on the underlying classical strange repeller. The states with longest life times typically reveal a scars structure on the classical fractal set.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography