4.7 Article

A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction

Journal

COMPUTER PHYSICS COMMUNICATIONS
Volume 182, Issue 1, Pages 14-17

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2010.08.002

Keywords

Optimal control; Dynamical invariant observable; Heisenberg equation of motion; Integral equation; Monotonic convergence; Krotov method

Funding

  1. Department of Energy
  2. Army Research Office
  3. Chemical Sciences Geosciences and Biosciences Division of the Office of Basic Energy Sciences Office of Sciences, Department of Energy
  4. National Science Foundation
  5. National Science Council of Taiwan [97-2112-M-002-003-MY3]
  6. National Taiwan University [98R0066]
  7. Division Of Physics [0757194] Funding Source: National Science Foundation

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This paper presents a general method to formulate monotonically convergent algorithms for identifying optimal control fields to manipulate quantum dynamics phenomena beyond the linear dipole interaction The method facilitated by a field-dependent dipole moment operator is based on an Integral equation of the first kind arising from the Heisenberg equation of motion for tracking a time-dependent dynamical invariant observable associated with a reference control field (C) 2010 Elsevier BV All rights reserved

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