Fast state transfer in a Λ-system: a shortcut-to-adiabaticity approach to robust and resource optimized control

• DOI: 10.1088/1367-2630/aaac8a
• Publication Date: 2018-02-02T11:15:12Z
• Authors: Henrik Lund Morte...; Jens Jakob W. H. ...; Klaus Mølmer; Jacob Friis Sherson
• Keywords: Robustness; Hamiltonian (control theory); Formalism (music)

We propose an efficient strategy to find optimal control functions for state-to-state quantum problems. Our procedure first chooses input state trajectory, that can realize the desired transformation by adiabatic variation of system Hamiltonian. The shortcut-to-adiabaticity (STA) formalism then provides a Hamiltonian realizes reference trajectory exactly but on finite time scale. As final is achieved with certainty, we define cost functional incorporates resource requirements and perturbative expression robustness. optimize this systematically varying trajectory. demonstrate method application population transfer in laser driven three-level Λ-system, where solutions are fast robust against perturbations while maintaining low peak power.