Methods to Solve the Optimal Control Problem in Quantum Systems

D. TIELAS

Cambridge

Seminario; Invitación del Prof. Vuletic al CUA (Center of Ultracold Atoms Hardvard-MIT); 2018

Center of Ultracold Atoms Hardvard-MIT

In this talk we consider the problem of bringing a quantum state from an initial state to one with desired properties. Basic concepts of optimal control theory will be briefly discussed, and the problem of optimal control will be presented. In particular, the variational approach will be described in a synthetic way and, with a little more detail, the chopped random basis optimal control technique (CRAB) [1] and the gradient ascent pulse engineering (GRAPE) [2]. As examples of application of these approaches, it will be shown how to promote particles of a Bose Einstein condensate, in a quasi-1D trap, to its first excited state [3] and some qubits examples.References:[1] Phys. Rev. Lett. 106, 190501 (2011).[2] J. Magn. Reson. 172, 296 (2005).[3] Nature Physics 7, 608?611 (2013).