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arXiv · 1903.00404

Experimental verification of the inertial theorem control protocols

Chang-Kang Hu·Roie Dann·Jin-Ming Cui·Yun-Feng Huang·Chuan-Feng Li·Guang-Can Guo·Alan C. Santos·Ronnie Kosloff
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Abstract

An experiment based on a trapped Ytterbium ion validates the inertial theorem for the SU(2) algebra. The qubit is encoded within the hyperfine states of the atom and controlled by RF fields. The inertial theorem generates analytical solutions for non-adiabatically driven systems that are `accelerated' slowly, bridging the gap between the sudden and adiabatic limits. These solutions are shown to be stable to small deviations, both experimentally and theoretically. As a result, the inertial solutions pave the way to rapid quantum control of closed, as well as open quantum systems. For large deviations from the inertial condition, the amplitude diverges while the phase remains accurate.

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Chang-Kang Hu, Roie Dann, Jin-Ming Cui, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo, Alan C. Santos, Ronnie Kosloff. 2019-03-01. Experimental verification of the inertial theorem control protocols. https://arxiv.org/abs/1903.00404

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