Superballistic wavepacket spreading in double kicked rotors
arXiv:1605.07452 · doi:10.1007/s11433-016-0076-y
Abstract
We investigate possible ways in which a quantum wavepacket spreads. We show that in a general class of double kicked rotor systems, a wavepacket may undergo superballistic spreading; i.e., its variance increases as the cubic of time. The conditions for the observed superballistic spreading and two related characteristic time scales are studied. Our results suggest that the symmetry of the studied model and whether it is a Kolmogorov-Arnold-Moser system are crucial to its wavepacket spreading behavior. Our study also sheds new light on the exponential wavepacket spreading phenomenon previously observed in the double kicked rotor systems.
arXiv comment10 pages, 5 figures
References in corpus (11)
- Experimental observation of the Anderson transition with atomic matter waves
- What determines the spreading of a wave packet?
- Stable Quantum Resonances in Atom Optics
- Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly Spectrum
- Atoms in double-delta-kicked periodic potentials: chaos with long-range correlations
- Long-lasting Exponential Spreading in Periodically Driven Quantum Systems
- Antiresonance and Localization in Quantum Dynamics
- Superballistic spreading of wave packets
- Exponential Quantum Spreading in a Class of Kicked Rotor Systems near High-Order Resonances
- Spectral Relationships Between Kicked Harper and On-Resonance Double Kicked Rotor Operators
- Fractional -scaling for quantum kicked rotors without cantori