Connection between inverse engineering and optimal control in shortcuts to adiabaticity

• URL: http://arxiv.org/abs/2101.03387v1
• Date: Sat, 9 Jan 2021 16:20:43 GMT
• Title: Connection between inverse engineering and optimal control in shortcuts to adiabaticity
• Authors: Qi Zhang, Xi Chen, David Gu\'ery-Odelin
• Abstract summary: We consider fast high-fidelity control by using a shortcut to adiabaticity (STA) technique and optimal control theory ( OCT) Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed.
• Score: 10.925879590519434
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider fast high-fidelity quantum control by using a shortcut to adiabaticity (STA) technique and optimal control theory (OCT). Three specific examples, including expansion of cold atoms from the harmonic trap, atomic transport by moving harmonic trap, and spin dynamics in the presence of dissipation, are explicitly detailed. Using OCT as a qualitative guide, we demonstrate how STA protocols designed from inverse engineering method, can approach with very high precision optimal solutions built about physical constraints, by a proper choice of the interpolation function and with a very reduced number of adjustable parameters.

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