Analytical solutions for a two-level system driven by a class of chirped pulses

TL;DR

This paper derives analytical solutions for a two-level atom driven by chirped pulses, showing that specific chirping parameters can significantly enhance population transfer efficiency.

Contribution

It provides new analytical solutions using Heun functions for a two-level system under chirped pulses, enabling improved control of population transfer.

Findings

Four-orders of magnitude enhancement in population transfer

Analytical solutions expressed in terms of Heun functions

Effective control of two-level systems with chirped pulses

Abstract

We present analytical solutions for the problem of a two-level atom driven by a class of chirped pulses. The solutions are given in terms of Heun functions. Using appropriate chirping parameters an enhancement of four-orders of magnitudes in the population transfer is obtained.