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Superballistic wavepacket spreading in double kicked rotors

2016/05/16 by Ping Fang, Jiao Wang
Physics and Astronomy · #Class (philosophy) #Dynamics (music) #Nonlinear Photonic Systems #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Rotor (electric) #Symmetry (geometry) #Wave packet #quant-ph

paper · pdf · doi:10.1007/s11433-016-0076-y

published as Sci. China - Phys. Mech. Astron. 59, 680011 (2016) · 10 pages, 5 figures

openalex publication_date 2016/05/16 · arxiv created 2016/05/24 · arxiv updated 2016/05/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Abstract We investigate possible ways in which a quantum wavepacket spreads. We show that in a general class of double kicked rotor system, 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 system.

Citations