Robust control of linear systems and shortcut to adiabaticity based on superoscillations

• URL: http://arxiv.org/abs/2207.02246v1
• Date: Tue, 5 Jul 2022 18:10:49 GMT
• Title: Robust control of linear systems and shortcut to adiabaticity based on superoscillations
• Authors: Qi Zhang, Xi Chen, and David Gu\'ery-Odelin
• Abstract summary: Inverse engineering Lagrangian formalism developed here generalizes the one commonly used to describe the superoscillation phenomenon. Our approach also allows to improve the sensing capabilities by an appropriate control of the system.
• Score: 9.721400195178063
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: With the advent of quantum technologies, control issues are becoming increasingly important. In this article, we address the control in phase space under a global constraint provided by a minimal energy-like cost function and a local (in Fourier space) constraint resulting from a robustness criterion. The inverse engineering Lagrangian formalism developed here generalizes the one commonly used to describe the superoscillation phenomenon. It is applied to both non-dissipative and dissipative quantum mechanics, and extended to stochastic thermodynamics. Interestingly, our approach also allows to improve the sensing capabilities by an appropriate control of the system.

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