A general formulation of monotonically convergent algorithms in the control of quantum dynamics beyond the linear dipole interaction |
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| Authors: | Tak-San Ho Herschel Rabitz Shih-I Chu |
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| Affiliation: | aDepartment of Chemistry, Princeton University, Princeton, NJ 08544, USA;bCenter for Quantum Science and Engineering and Department of Physics, National Taiwan University, Taipei 10617, Taiwan;cDepartment of Chemistry, University of Kansas, Lawrence, KS 66045, USA |
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| Abstract: | 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. |
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| Keywords: | Optimal control Dynamical invariant observable Heisenberg equation of motion Integral equation Monotonic convergence Krotov method |
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