Which notion of energy for bilinear quantum systems?
Boussaid, Nabile · Caponigro, Marco · Chambrion, Thomas
Original · EN
In this note we investigate what is the best Lᵖ-norm in order to describe the relation between the evolution of the state of a bilinear quantum system with the Lᵖ-norm of the external field. Although L² has a structure more easy to handle, the L¹ norm is more suitable for this purpose. Indeed for every p>1, it is possible to steer, with arbitrary precision, a generic bilinear quantum system from any eigenstate of the free Hamiltonian to any other with a control of arbitrary small Lᵖ norm. Explicit optimal costs for the L¹ norm are computed on an example.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.