Butterfly Floquet Spectrum in Driven SU(2) Systems

Abstract

The Floquet spectrum of a class of driven SU(2) systems is shown to display a butterfly pattern with multi-fractal 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.

4 pages, 4 figures, to appear in Phys. Rev. Lett., for a full-length report see arXiv 0906.2257

References in corpus (11)

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Cited by in corpus (14)

• Universal Dynamical Decoupling: Two-Qubit States and Beyond
• Non-Abelian generalization of non-Hermitian quasicrystal: PT-symmetry breaking, localization, entanglement and topological transitions
• Optimal time-dependent lattice models for nonequilibrium dynamics
• Floquet analysis of the modulated two-mode Bose-Hubbard model
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
• Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
• Driven Hofstadter Butterflies and Related Topological Invariants
• Pseudoclassical dynamics of the kicked top
• Floquet higher-order topological phases in momentum space
• Analyticity constraints bound the decay of the spectral form factor
• Subdiffusion in wave packets with periodically kicked interactions
• Many topological regions on the Bloch sphere of the spin-1/2 double kicked top
• Statistical properties of power-law random banded unitary matrices in the delocalization-localization transition regime
• Survival of current in a periodically driven hard-core bosonic system