Quantum Control via Adiabatic Theory U. Boscain, F. C. Chittaro, P. - PowerPoint PPT Presentation

Quantum Control via Adiabatic Theory U. Boscain, F. C. Chittaro, P. Mason, M. Sigalotti L2S-Sup´ elec (Paris) Workshop on Nonlinear Control and Singularities Porquerolles, October 24th-28th, 2010 F. C. Chittaro (L2S) Quantum Control via Adiabatic Theory October 23rd, 2010 1 / 29

Introduction The problem i ∂ ∂tψ ( x, t ) = ( H 0 + u 1 ( t ) V 1 ( x ) + u 2 ( t ) V 2 ( x )) ψ ( x, t ) (1) x ∈ Ω ⊂ R n H 0 = − ∆ + V ( x ) has a non-empty discrete spectrum V 1 and V 2 are measurable bounded real valued multiplication operators. ( u 1 , u 2 ) =: u ∈ ω ⊂ R 2 F. C. Chittaro (L2S) Quantum Control via Adiabatic Theory October 23rd, 2010 2 / 29