Quantum dynamics manipulation using optimal control theory in the presence of laser field noise

Praveen Kumar, Svetlana A. Malinovskaya

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Abstract

We discuss recent advances in optimal control theory (OCT) related to the investigation of the impact of control field noise on controllability of quantum dynamics. Two numerical methods, the gradient method and the iteration method, are paid particular attention. We analyze the problem of designing noisy control fields to maximize the vibrational transition probability in diatomic quantum systems, e.g. the HF and OH molecules. White noise is used as an additive random variable in the amplitude of the control field. It is demonstrated that the convergence is faster in the presence of noise and population transfer is increased by 0.04% for small values of noise compared to the field amplitude.

Original languageEnglish
Pages (from-to)1243-1250
Number of pages8
JournalJournal of Modern Optics
Volume57
Issue number14-15
DOIs
StatePublished - Aug 10 2010

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Keywords

  • amplitude noise
  • cooperative effect
  • optimal control

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