Andreas Ruschhaupt
Quantum Control with Shortcuts to Adiabaticity - An Overview.
Quantum adiabatic processes -that keep constant the populations in the instantaneous eigenbasis of a time-dependent Hamiltonian- are very useful to prepare, manipulate and control quantum states. Nevertheless, adiabatic processes take typically a long time. This is often problematic because decoherence and noise may spoil the desired final state. "Shortcuts to adiabaticity" are alternative fast control schemes which reproduce the same final populations, or even the same final state, as the adiabatic process in a finite, shorter time. In this talk, we will give an overview about the fundamentals of "Shortcuts to Adiabaticity". We will also present recent applications such as "shortcuts to adiabaticity" for the manipulation of internal atomic states and for the manipulation of atomic motional states. We will especially show how to optimize the stability of different shortcut schemes concerning different types of perturbations.