Shortcuts to adiabatic rotation of a two-ion chain

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 equ...

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Published in:arXiv.org 2021-06
Main Authors: Ander Tobalina, Juan Gonzalo Muga, Lizuain, Ion, Palmero, Mikel
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Rotation
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Juan Gonzalo Muga
Lizuain, Ion
Palmero, Mikel
description 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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title Shortcuts to adiabatic rotation of a two-ion chain
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