Osnabrück 2002 – scientific programme

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A: Atomphysik

A 14: Multiphotonen II / Theorie

A 14.6: Talk

Thursday, March 7, 2002, 15:15–15:30, HS 01/EZ04

Optimal control of time-averaged quantities in quantum systems with relaxation — •Ilia Grigorenko, Martin Garcia, and K.H. Bennemann — Institut für Theoretische Physik der Freien Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

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.