Heidelberg 2015 – scientific programme
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A: Fachverband Atomphysik
A 24: Attosecond physics
A 24.1: Talk
Wednesday, March 25, 2015, 14:30–14:45, C/kHS
Phase space approach to propagating a quantum wavepacket — •Norio Takemoto1,2, Asaf Shimshovitz2, and David J. Tannor2 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Weizmann Institute of Science, Rehovot, Israel
We develop a new method to propagate a quantum wavepacket based on a phase space perspective. The method utilizes the periodic von Neumann basis with biorthogonal exchange (pvb basis) [A. Shimshovitz and D.J. Tannor, Phys. Rev. Lett. 109, 070402 (2012)] generated from a lattice of phase space Gaussians for accurate and efficient representation of the wavepacket. We choose a subset of the pvb basis in a time-dependent manner to adapt to the time evolution of the wavepacket in phase space. This subset can be selected with a guide of classical mechanical trajectories. We demonstrate the accuracy and efficiency of the method first in the propagation of an electronic wavepacket in a one-dimensional model of an atom driven by the combined field of an intense, few-cycle infrared laser pulse and an attosecond extreme-ultraviolet laser pulse [N. Takemoto, A. Shimshovitz, and D.J. Tannor, J. Chem. Phys. 137, 011102 (2012)]. As a first step for extension of the method to multi-dimensioanl systems, we show benchmarking results on the coherent state wavepacket on a two-dimensional harmonic potential.