Simple man model in the Heisenberg picture

TL;DR

This paper introduces a quantum generalization of the Simple Man Model within the Heisenberg picture to analyze strong field ionization, providing new insights into electron dynamics through approximate solutions and correlation functions.

Contribution

It presents a novel quantum extension of the Simple Man Model in the Heisenberg picture and validates it by calculating electron correlation functions in strong field ionization.

Findings

The model captures distinct electron correlation types.

Results align with ab initio numerical calculations.

Provides new insights into strong field ionization dynamics.

Abstract

We describe an approximate solution to the Heisenberg operator equations of motion for an atom in a laser field. The solution is based on a quantum generalization of the physical picture given by the well-known Simple Man Model (SMM). We provide justification of the plausibility of this generalization and test its validity by applying it for the calculation of the coordinate and velocity autocorrelation functions which, to our knowledge, have not been studied before in the context of the strong field ionization. Both our model and results of the ab initio numerical calculations show distinct types of correlations due to different types of electron's motion providing a useful insight into the strong field ionization dynamics.