Abstract
We consider the time-optimal control by magnetic fields of a spin 12 particle in a dissipative environment. This system is used as an illustrative example to show the role of singular extremals in the control of quantum systems. We analyze a simple case where the control law is explicitly determined. We experimentally implement the optimal control using techniques of nuclear magnetic resonance. To our knowledge, this is the first experimental demonstration of singular extremals in quantum systems with bounded control amplitudes.
| Original language | English |
|---|---|
| Article number | 083001 |
| Journal | Physical Review Letters |
| Volume | 104 |
| Issue number | 8 |
| DOIs | |
| State | Published - 24 Feb 2010 |