Controllability of the bilinear Schrödinger equation with several controls and application to a 3D molecule

Ugo Boscain, Marco Caponigro, Mario Sigalotti
2012 2012 IEEE 51st IEEE Conference on Decision and Control (CDC)  
We show the approximate rotational controllability of a polar linear molecule by means of three nonresonant linear polarized laser fields. The result is based on a general approximate controllability result for the bilinear Schr\"odinger equation, with wavefunction varying in the unit sphere of an infinite-dimensional Hilbert space and with several control potentials, under the assumption that the internal Hamiltonian has discrete spectrum.
doi:10.1109/cdc.2012.6426289 dblp:conf/cdc/BoscainCS12 fatcat:hyytwnppbnfqzgxpjq67ukmsfm