Quantum driving protocols for a two level system: from generalized Landau-Zener sweeps to superadiabatic control
2012
SUMMARY We present experimental results on the preparation of a desired quantum state
in a two-level system with the maximum possible fidelity using driving
protocols ranging from generalizations of the linear Landau-Zener protocol to
transitionless driving protocols that ensure perfect following of the
instantaneous adiabatic ground state. We also study the minimum time needed to
achieve a target fidelity and explore and compare the robustness of some of the
protocols against parameter variations simulating a possible experimental
uncertainty. In our experiments, we realize a two-level model system using
Bose-Einstein condensates inside optical lattices, but the results of our
investigation should hold for any quantum system that can be approximated by a
two-level system.
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