Laser Field Initiation of Higher Order Poles of S-Matrix-Optical Realization of Field Theoretic Models

TL;DR

This paper explores how intense laser fields can transform simple poles in the S-matrix into higher order poles, affecting spectral line shapes, with potential applications in quantum control and field theory models.

Contribution

It introduces a method to controllably generate higher order poles in the S-matrix using resonant laser fields, extending the understanding of spectral line shape modifications.

Findings

Higher order poles can be induced by laser fields.

Line shapes are modified from Lorentzian to more complex forms.

Control over pole order impacts spectral properties.

Abstract

We discuss the possibility of converting a simple pole in the radiative decay of a state into a pole of higher order by using resonant electromagnetic fields. This process of creation of higher order pole is controllable by the intensity of the laser field. We use density matrix and Liouville space and present the modification of the Lorentzian line shapes (Breit-Wigner formula) for example to ones involving square of Lorentzian and derivatives of Lorentzians.