Dephasing effects on stimulated Raman adiabatic passage in tripod configurations

TL;DR

This paper analytically examines how dephasing impacts stimulated Raman adiabatic passage in a tripod quantum system, revealing exponential fidelity decay and the influence of pulse timing.

Contribution

It introduces an effective two-level model and master equation to analytically describe dephasing effects in STIRAP within tripod systems, using the Demkov-Kunike model.

Findings

Fidelity decreases exponentially with dephasing rate

Pulse delay can have an inverse effect depending on pulse ordering

Analytic solutions provide insight into dephasing impacts

Abstract

We present an analytic description of the effects of dephasing processes on stimulated Raman adiabatic passage in a tripod quantum system. To this end, we develop an effective two-level model. Our analysis makes use of the adiabatic approximation in the weak dephasing regime. An effective master equation for a two-level system formed by two dark states is derived, where analytic solutions are obtained by utilizing the Demkov-Kunike model. From these, it is found that the fidelity for the final coherent superposition state decreases exponentially for increasing dephasing rates. Depending on the pulse ordering and for adiabatic evolution the pulse delay can have an inverse effect.