Butterfly Floquet Spectrum in Driven SU(2) Systems

2009/06/12 by Jiao Wang, Jiangbin Gong · 1 citation
Physics and Astronomy · #Biology #Butterfly #Cold Atom Physics and Bose-Einstein Condensates #Ecology #Floquet theory #Physics #Quantum chaos and dynamical systems #Quantum electrodynamics #Quantum mechanics #Quantum optics and atomic interactions #Spectrum (functional analysis) #cond-mat.other #nlin.CD #quant-ph

paper · pdf · doi:10.1103/physrevlett.102.244102

published as Phys. Rev. Lett. Vol. 102, 244102 (2009) · 4 pages, 4 figures, to appear in Phys. Rev. Lett., for a full-length report see arXiv 0906.2257

arxiv created 2009/06/12 · openalex publication_date 2009/06/17 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Floquet spectrum of a class of driven SU(2) systems is shown to display a butterfly pattern with multifractal properties. The level crossing between Floquet states of the same parity or different parities is studied. The results are relevant to studies of fractal statistics, quantum chaos, coherent destruction of tunneling, and the validity of mean-field descriptions of Bose-Einstein condensates.

Citations

• Two-mode Bose-Einstein condensate in a high-frequency driving field that directly couples the two modes
• Nonlinear Landau–Zener processes in a periodic driving field
• Single-Particle Tunneling in Strongly Driven Double-Well Potentials
• Visualization of Coherent Destruction of Tunneling in an Optical Double Well System
• Mott-insulator transition for ultracold fermions in two-dimensional optical lattices
• Spectral relationships between kicked Harper and on-resonance double kicked rotor operators

Cited by

• Generating a fractal butterfly Floquet spectrum in a class of driven SU(2) systems