Journal article
Theory for the optimal control of time-averaged quantities in quantum systems
Publication Details
Authors: | Grigorenko, I.; Garcia, M.; Bennemann, K.
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Publisher: | AMERICAN PHYSICAL SOC
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Journal: | Physical Review Letters |
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.