Theory for the optimal control of time-averaged quantities in open quantum systems

Details Theory for the optimal control of time-averaged quantities in open quantum systems Theory for the optimal control of time-averaged quantities in open quantum systems

2002-03-25

arxiv.org/abs/quant-ph/0203123v1

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevLett.89.233003

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.

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