Floquet engineering with quantum optimal control theory

Castro, A.; de Giovannini, U.; Sato, S.; Hübener, H.; Rubio, A.

doi:10.1088/1367-2630/accb05

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Floquet engineering with quantum optimal control theory

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Castro, A.
Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza;
ARAID Foundation;
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;

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de Giovannini, U.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
Università degli Studi di Palermo, Dipartimento di Fisica e Chimica—Emilio Segrè;

/persons/resource/persons222317

Sato, S.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
Center for Computational Sciences, University of Tsukuba;

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Hübener, H.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;

/persons/resource/persons22028

Rubio, A.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
Center for Computational Quantum Physics (CCQ), The Flatiron Institute;
Nano-Bio Spectroscopy Group and ETSF, Universidad del País Vasco;

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https://doi.org/10.1088/1367-2630/accb05
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Castro_2023_New_J._Phys._25_043023.pdf
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Citation

Castro, A., de Giovannini, U., Sato, S., Hübener, H., & Rubio, A. (2023). Floquet engineering with quantum optimal control theory. New Journal of Physics, 25(4): 043023. doi:10.1088/1367-2630/accb05.

Cite as: https://hdl.handle.net/21.11116/0000-000C-F23D-F

Abstract

Floquet engineering consists in the modification of physical systems by the application of periodic time-dependent perturbations. The search for the shape of the periodic perturbation that best modifies the properties of a system in order to achieve some predefined metastable target behavior can be formulated as an optimal control problem. We discuss several ways to formulate and solve this problem. We present, as examples, some applications in the context of material science, although the methods discussed here are valid for any quantum system (from molecules and nanostructures to extended periodic and non periodic quantum materials). In particular, we show how one can achieve the manipulation of the Floquet pseudo-bandstructure of a transition metal dichalcogenide monolayer (MoS₂).