Coherent Manipulation of Quantum Delta-kicked Dynamics: Faster-than-classical Anomalous Diffusion

Abstract

Large transporting regular islands are found in the classical phase space of a modified kicked rotor system in which the kicking potential is reversed after every two kicks. The corresponding quantum system, for a variety of system parameters and over long time scales, is shown to display energy absorption that is significantly faster than that associated with the underlying classical anomalous diffusion. The results are of interest to both areas of quantum chaos and quantum control.

6 pages, 4 figures, to appear in Physical Review E

References in corpus (9)

• Experimental evidence of dynamical localization and delocalization in a quasi-periodic driven system
• Stable Quantum Resonances in Atom Optics
• Exponential Gain in Quantum Computing of Quantum Chaos and Localization
• Coherent Control of Quantum Chaotic Diffusion
• Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
• Measurement-induced quantum diffusion
• Anomalous transport and quantum-classical correspondence
• Antiresonance and Localization in Quantum Dynamics
• Phase Control of Nonadiabaticity-induced Quantum Chaos in An Optical Lattice

Cited by in corpus (6)

• Directed anomalous diffusion without a biased field: A ratchet accelerator
• Experimental Realization of a Quantum Ratchet Through Phase Modulation
• Control of Dynamical Localization
• Fluctuations and Transients in Quantum-Resonant Evolution
• Classical and Quantum Transport in One-Dimensional Periodically Kicked Systems
• Classical and quantum anomalous diffusion in a system of 2$\delta$-kicked Quantum Rotors