Theory for the Optimal Control of Time-Averaged Quantities in Quantum Systems
- 18 November 2002
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 89 (23) , 233003
- https://doi.org/10.1103/physrevlett.89.233003
Abstract
We present a variational theory for the optimal control of quantum systems with relaxation over a finite time interval. In our approach, which is a nontrivial generalization of previous formulations and which contains them as limiting cases, the optimal control field fulfills a high-order Euler-Lagrange differential equation, which guarantees the uniqueness of the solution. We solve this equation numerically and also analytically for some limiting cases. The theory is applied to two-level quantum systems with relaxation, for which we determine quantitatively how relaxation effects limit the control of the system.Keywords
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