Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems
arXiv:0906.2257 · doi:10.1103/PhysRevE.81.026204
Abstract
A scheme for generating a fractal butterfly Floquet spectrum, first proposed by Wang and Gong [Phys. Rev. A {\bf 77}, 031405(R) (2008)], is extended to driven SU(2) systems such as a driven two-mode Bose-Einstein condensate. A new class of driven systems without a link with the Harper model context is shown to have an intriguing butterfly Floquet spectrum. The found butterfly spectrum shows remarkable deviations from the known Hosftadter's butterfly. In addition, the level crossings between Floquet states of the same parity and between Floquet states of different parities are studied and highlighted. The results are relevant to studies of fractal statistics, quantum chaos, coherent destruction of tunneling, as well as the validity of mean-field descriptions of Bose-Einstein condensates.
11 pages, 9 figures, relatively large size, a full-length report of the findings in arXiv 0906.2259
References in corpus (18)
- Anderson Transitions
- Dynamical control of matter-wave tunneling in periodic potentials
- Single Particle Tunneling in Strongly Driven Double Well Potentials
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Visualization of Coherent Destruction of Tunneling in an Optical Double Well System
- Many-Body Coherent Destruction of Tunneling
- Dissipation induced coherence of a two-mode Bose-Einstein condensate
- Tuning the Mott transition in a Bose-Einstein condensate by multi-photon absorption
- Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
- Two-mode Bose-Einstein condensate in a high-frequency driving field that directly couples the two modes
- Coherent control of mesoscopic tunneling in a Bose-Einstein condensate
- Nonlinear Landau-Zener Processes in a Periodic Driving Field
- General Approach to the Quantum Kicked Particle in a Magnetic Field: Quantum-Antiresonance Transition
- Characterizing the Hofstadter butterfly's outline with Chern numbers
- Butterfly Floquet Spectrum in Driven SU(2) Systems
- Quantum switching at a mean-field instability of a Bose-Einstein condensate in an optical lattice
- Spectral Relationships Between Kicked Harper and On-Resonance Double Kicked Rotor Operators
- Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
Cited by in corpus (8)
- Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) Systems: Eigenstate Statistics
- Entropy and Temperature in finite isolated quantum systems
- Pseudoclassical dynamics of the kicked top
- Synthetic gauge field in two interacting ultracold atomic gases without an optical lattice
- Analyticity constraints bound the decay of the spectral form factor
- 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
- Bose and Einstein Meet Newton