arXiv:quant-ph/0203123AbstractReferencesReviewsResources
Theory for the optimal control of time-averaged quantities in open quantum systems
Ilia Grigorenko, Martin E. Garcia, K. H. Bennemann
Published 2002-03-25Version 1
We present variational theory for optimal control over a finite time interval in quantum systems with relaxation. The corresponding Euler-Lagrange equations determining the optimal control field are derived. In our theory the optimal control field fulfills a high order differential equation, which we solve analytically for some limiting cases. We determine quantitatively how relaxation effects limit the control of the system. The theory is applied to open two level quantum systems. An approximate analytical solution for the level occupations in terms of the applied fields is presented. Different other applications are discussed.
Categories: quant-ph
Keywords: open quantum systems, time-averaged quantities, optimal control field fulfills, high order differential equation, finite time interval
Tags: journal article
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