Citation:Lu, X.-J., Chen, X., Ruschhaupt, A., Alonso, D., Guérin, S. and Muga, J. G. (2013) 'Fast and robust population transfer in two-level quantum systems with dephasing noise and/or systematic frequency errors', Physical Review A, 88(3), 033406. (6pp). doi: 10.1103/PhysRevA.88.033406
We design, by invariant-based inverse engineering, driving fields that invert the population of a two-level atom in a given time, robustly with respect to dephasing noise and/or systematic frequency shifts. Without imposing constraints, optimal protocols are insensitive to the perturbations but need an infinite energy. For a constrained value of the Rabi frequency, a flat pi pulse is the least sensitive protocol to phase noise but not to systematic frequency shifts, for which we describe and optimize a family of protocols.
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