Quantum optimal control theory applied to transitions in diatomic molecules

Marius Lysebo and Leif Veseth
Phys. Rev. A 90, 063427 – Published 29 December 2014

Abstract

Quantum optimal control theory is applied to control electric dipole transitions in a real multilevel system. The specific system studied in the present work is comprised of a multitude of hyperfine levels in the electronic ground state of the OH molecule. Spectroscopic constants are used to obtain accurate energy eigenstates and electric dipole matrix elements. The goal is to calculate the optimal time-dependent electric field that yields a maximum of the transition probability for a specified initial and final state. A further important objective was to study the detailed quantum processes that take place during such a prescribed transition in a multilevel system. Two specific transitions are studied in detail. The computed optimal electric fields as well as the paths taken through the multitude of levels reveal quite interesting quantum phenomena.

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  • Received 8 October 2014
  • Revised 3 December 2014

DOI:https://doi.org/10.1103/PhysRevA.90.063427

©2014 American Physical Society

Authors & Affiliations

Marius Lysebo

  • Department of Civil Engineering and Energy Technology, Oslo and Akershus University College of Applied Sciences, 0130 Oslo, Norway

Leif Veseth

  • Department of Physics, University of Oslo, 0316 Oslo, Norway

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Vol. 90, Iss. 6 — December 2014

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