Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field

Details Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field

2009-05-29

arxiv.org/abs/0905.4867v1

Physical Review A 78, 023408 (2008)

Physics

Quantum Physics

24 pages, 11 figures

Scientific paper

We consider the optimal control of quantum systems interacting non-linearly with an electromagnetic field. We propose new monotonically convergent algorithms to solve the optimal equations. The monotonic behavior of the algorithm is ensured by a non-standard choice of the cost which is not quadratic in the field. These algorithms can be constructed for pure and mixed-state quantum systems. The efficiency of the method is shown numerically on molecular orientation with a non-linearity of order 3 in the field. Discretizing the amplitude and the phase of the Fourier transform of the optimal field, we show that the optimal solution can be well-approximated by pulses that could be implemented experimentally.

Affiliated with

Also associated with

No associations

Rating

Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Monotonically convergent optimal control theory of quantum systems under a nonlinear interaction with the control field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-527213