Experimental quantum control landscapes: Inherent monotonicity and artificial structure

Jonathan Roslund, Herschel Rabitz

Research output: Contribution to journalArticle

22 Scopus citations

Abstract

Unconstrained searches over quantum control landscapes are theoretically predicted to generally exhibit trap-free monotonic behavior. This paper makes an explicit experimental demonstration of this intrinsic monotonicity for two controlled quantum systems: frequency unfiltered and filtered second-harmonic generation (SHG). For unfiltered SHG, the landscape is randomly sampled and interpolation of the data is found to be devoid of landscape traps up to the level of data noise. In the case of narrow-band-filtered SHG, trajectories are taken on the landscape to reveal a lack of traps. Although the filtered SHG landscape is trap free, it exhibits a rich local structure. A perturbation analysis around the top of these landscapes provides a basis to understand their topology. Despite the inherent trap-free nature of the landscapes, practical constraints placed on the controls can lead to the appearance of artificial structure arising from the resultant forced sampling of the landscape. This circumstance and the likely lack of knowledge about the detailed local landscape structure in most quantum control applications suggests that the a priori identification of globally successful (un)constrained curvilinear control variables may be a challenging task.

Original languageEnglish (US)
Article number013408
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume80
Issue number1
DOIs
StatePublished - Aug 6 2009

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

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