Shortcuts to adiabatic rotation of a two-ion chain

• URL: http://arxiv.org/abs/2106.09293v1
• Date: Thu, 17 Jun 2021 07:59:02 GMT
• Title: Shortcuts to adiabatic rotation of a two-ion chain
• Authors: Ander Tobalina, Juan Gonzalo Muga, Ion Lizuain, Mikel Palmero
• Abstract summary: We inverse engineer fast rotations of a linear trap with two ions for a predetermined rotation angle and time, avoiding final excitation. The separability into dynamical normal modes for equal ions in a common harmonic trap, or for different ions in non-harmonic traps with up to quartic terms allows for simpler computations of the rotation protocols.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We inverse engineer fast rotations of a linear trap with two ions for a predetermined rotation angle and time, avoiding final excitation. Different approaches are analyzed and compared when the ions are of the same species or of different species. The separability into dynamical normal modes for equal ions in a common harmonic trap, or for different ions in non-harmonic traps with up to quartic terms allows for simpler computations of the rotation protocols. For non-separable scenarios, in particular for different ions in a harmonic trap, rotation protocols are also found using more costly numerical optimisations.

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