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Floquet perturbative analysis for STIRAP beyond the rotating wave approximation.

S Guerin, H Jauslin, R Unanyan

|April 28, 2009

Summary

We present a perturbative analysis of Floquet eigenstates in three-level systems using Stimulated Raman Adiabatic Passage (STIRAP). Our method efficiently analyzes systems with delayed laser pulses, provided non-linear resonances are absent.

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Area of Science:

Quantum optics
Atomic physics
Laser spectroscopy

Background:

Floquet theory describes systems under periodic driving.
Stimulated Raman Adiabatic Passage (STIRAP) is a key quantum control technique.
Three-level systems are fundamental in quantum optics and information.

Purpose of the Study:

To develop a perturbative analysis for Floquet eigenstates in STIRAP.
To investigate the application of this method to systems with delayed laser pulses.
To establish the conditions under which the perturbative approach is valid.

Main Methods:

Perturbative expansion of Floquet states.
Analysis of a three-level system subjected to two delayed laser fields.
Systematic development of theoretical framework.

Main Results:

Demonstration of an efficient perturbative approach for Floquet eigenstates.
The method is applicable to STIRAP in three-level systems with delayed pulses.
The validity of the approach is limited by the absence of non-linear resonances.

Conclusions:

A systematic perturbative analysis of Floquet eigenstates is presented.
This method offers an efficient way to study complex quantum systems.
The findings provide insights into the control of quantum dynamics in delayed systems.