High‐order harmonic generation by static coherent states method in single‐electron atomic and molecular systems

Abstract

We solve the time-dependent Schrodinger equation using the coherent states as basis sets for computing high harmonic generation (HHG) in a full-dimensional singleelectron "realistic" system. We apply the static coherent states (SCS) method to investigate HHG in the hydrogen molecular ion induced by a linearly polarized laser field. We show that SCS gives reasonable agreement compared to the three dimensional unitary split-operator approach. Next, we study isolated attosecond pulse gen-To do so, we employ the well-known polarization gating technique, which combines two delayed counter-rotating circular laser pulses, and opens up a gate at the central portion of the superposed pulse. Our results suggest that the SCS method can be used for full-dimensional quantum simulation of higher dimensional systems such as the hydrogen molecule in the presence of an external laser field.

Optical Distinguishability of Mott Insulators in Time vs Frequency Domain

“…Within the plethora of non-linear effects already discovered [19], one of the most promising is High Harmonic Generation (HHG). First observed in gases, this phenomenon has also been induced by strong fields in atoms and molecules [20][21][22][23][24][25][26], the surfaces of both metal and dielectric solids [27][28][29][30][31], and in bulk crystals [32][33][34][35][36][37][38][39][40][41]. The ability to generate light at frequencies many multiples greater than the initial excitation provides a tool for observation and manipulation at the attosecond timescale [42][43][44][45].…”