Robust stimulated Raman exact passage using shaped pulses

Abstract

We developed single-shot shaped pulses for ultra high fidelity (UH-fidelity) population transfer on a 3-level quantum system in lambda configuration. To ensure high fidelity, we use the Lewis-Riesenfeld (L-R) method to derive a family of solutions leading to an exact transfer, where the solutions follow a single dynamical mode of the L-R invariant. Among this family, we identify a tracking solution with a single parameter to control simultaneously the fidelity of the transfer, the population of the excited state, and robustness. We define a measure of the robustness of an UH-fidelity transfer as the minimum percentile deviation on the pulse areas at which the infidelity rises above $10^{-4}$. The robustness of our shaped pulses is found superior to that of Gaussian and adiabatically-optimized pulses for moderate pulse areas.

References in corpus (7)

• Shortcut to adiabatic passage in two and three level atoms
• Lewis-Riesenfeld invariants and transitionless tracking algorithm
• Fast population transfer engineering of three-level systems
• Correction of Arbitrary Errors in Population Inversion of Quantum Systems by Universal Composite Pulses
• Shortcut to adiabatic population transfer in quantum three-level systems: effective two-level problems and feasible counter-diabatic driving
• Efficient coherent internal state transfer in trapped ions using Stimulated Raman Adiabatic Passage
• Dynamical invariants for quantum control of four-level systems