Monotonic Convergent Optimal Control Theory with Strict Limitations on the Spectrum of Optimized Laser Fields

2008/01/25 by C. Gollub, Caroline Gollub, Markus Kowalewski +2 · 2 citations
Chemistry · Physics and Astronomy · #Laser-Matter Interactions and Applications #Spectroscopy and Laser Applications #Spectroscopy and Quantum Chemical Studies #quant-ph

paper · pdf · doi:10.1103/physrevlett.101.073002

published as Phys. Rev. Lett. 101, 073002 (2008) · 4 pages, 3 figures

arxiv created 2008/01/25 · openalex publication_date 2008/08/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a modified optimal control scheme based on the Krotov method, which allows for strict limitations on the spectrum of the optimized laser fields. A frequency constraint is introduced and derived mathematically correct, without losing monotonic convergence of the algorithm. The method guarantees a close link to learning loop control experiments and is demonstrated for the challenging control of nonresonant Raman transitions, which are used to implement a set of global quantum gates for molecular vibrational qubits.

Citations

• Tailoring laser pulses with spectral and fluence constraints using optimal control theory

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