Montonic convergent optimal control theory to modulate bandwidth limited laser pulses in linear and non-linear optical processes

TL;DR

This paper introduces a modified optimal control method that enforces spectral constraints on laser pulses while ensuring convergence, demonstrated on quantum control of molecular vibrational states.

Contribution

The authors develop a spectral-constrained Krotov-based optimal control scheme that maintains monotonic convergence, bridging theoretical control and experimental implementation.

Findings

Successfully controls non-resonant Raman transitions

Enforces strict spectral limitations on laser pulses

Demonstrates application to quantum gate operations

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, 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 non-resonant Raman transitions, which are used to implement a set of global quantum gates for molecular vibrational qubits.