Parabolic model with phase-jump coupling

TL;DR

This paper investigates the dynamics of a two-level parabolic model, proposing phase-jump techniques to enhance population transfer and achieve complete inversion, supported by a universal phase-jump effect formula.

Contribution

It introduces a phase-jump method to transform coupling functions, enabling improved population transfer and a universal formula for phase-jump effects.

Findings

Phase-jump can convert coupling to zero-area, enhancing transfer efficiency.

Universal formula describes phase-jump impact on population dynamics.

Method achieves complete population inversion under certain conditions.

Abstract

We study the coherent dynamics of a two-level parabolic model and ways to enhance population transfer and even to obtain complete population inversion in such models. Motivated by the complete population inversion effect of zero-area pulses found in [1], we consider a scheme where a given coupling function is transformed to a zero-area coupling by performing phase-jump in the middle of the evolution. We also derive a universal formula for the effect of the phase-jump.