Speaker : Mr. Liang-Yan Hsu (Princeton University)
Title : A new time-frequency method to reveal quantum dynamics of atomic hydrogen in intense laser pulses
Time : 2014-07-29 (Tue) 15:00 - 16:00
Place : Lecture Hall, Inst. of Mathematics
Abstract: This lecture introduces a novel adaptive time-frequency (TF) analysis technique, synchrosqueezing transform (SST), to explore quantum dynamical systems. We will review the basic concepts of quantum mechanics and spectroscopy. In this lecture, the dynamics of a laser-driven hydrogen atom is simulated at an {\it ab inito} level, and the versatility of its dipole moment is a new viable venue for further exploring quantum dynamics. For a signal with oscillatory components which can be characterized by so-called instantaneous frequency, the SST enables rendering the decomposed signal via the phase information inherited in the linear TF representation with rigorous mathematical support. Compared with the classical type TF techniques, the SST successfully depicts several intrinsic quantum dynamical processes such as AC Stark effects, selection rules, and high harmonic generation.