Fast separation of two trapped ions

Abstract

We design fast protocols to separate or recombine two ions in a segmented Paul trap. By inverse engineering the time evolution of the trapping potential composed of a harmonic and a quartic term, it is possible to perform these processes in a few microseconds without final excitation. These times are much shorter than the ones reported so far experimentally. The design is based on dynamical invariants and dynamical normal modes. Anharmonicities beyond the harmonic approximation at potential minima are taken into account perturbatively. The stability versus an unknown potential bias is also studied.

9 pages, 5 figures

References in corpus (5)

• Fast atomic transport without vibrational heating
• Tunable spin-spin interactions and entanglement of ions in separate wells
• Experimental realization of fast ion separation in segmented Paul traps
• Dynamics and control of fast ion crystal splitting in segmented Paul traps
• Fast expansions and compressions of trapped-ion chains

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• Optimal control with a multidimensional quantum invariant
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• Fast Ground State to Ground State Separation of Small Ion Crystals
• Numerically Optimizing Shortcuts to Adiabaticity: A Hybrid Control Strategy