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  Floquet engineering the band structure of materials with optimal control theory

Castro, A., de Giovannini, U., Sato, S., Hübener, H., & Rubio, A. (2022). Floquet engineering the band structure of materials with optimal control theory.

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2203.03387.pdf (Preprint), 5MB
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https://arxiv.org/abs/2203.03387 (Preprint)
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 Creators:
Castro, A.1, 2, Author
de Giovannini, U.3, 4, 5, Author              
Sato, S.4, 5, 6, Author              
Hübener, H.4, 5, Author              
Rubio, A.4, 5, 7, Author              
Affiliations:
1Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza, ou_persistent22              
2ARAID Foundation, ou_persistent22              
3Università degli Studi di Palermo, Dipartimento di Fisica e Chimica—Emilio Segrè, ou_persistent22              
4Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society, ou_2266715              
5Center for Free-Electron Laser Science, ou_persistent22              
6Center for Computational Sciences, University of Tsukuba, ou_persistent22              
7Center for Computational Quantum Physics (CCQ), The Flatiron Institute, ou_persistent22              

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Free keywords: Condensed Matter, Mesoscale and Nanoscale Physics, cond-mat.mes-hall, Condensed Matter, Materials Science, cond-mat.mtrl-sci, Physics, Computational Physics, physics.comp-ph
 Abstract: We demonstrate that the electronic structure of a material can be deformed into Floquet pseudo-bands with arbitrarily tailored shapes. We achieve this goal with a novel combination of quantum optimal control theory and Floquet engineering. The power and versatility of this framework is demonstrated here by utilizing the independent-electron tight-binding description of the π electronic system of graphene. We show several prototype examples focusing on the region around the K (Dirac) point of the Brillouin zone: creation of a gap with opposing flat valence and conduction bands, creation of a gap with opposing concave symmetric valence and conduction bands -- which would correspond to a material with an effective negative electron-hole mass --, or closure of the gap when departing from a modified graphene model with a non-zero field-free gap. We employ time periodic drives with several frequency components and polarizations, in contrast to the usual monochromatic fields, and use control theory to find the amplitudes of each component that optimize the shape of the bands as desired. In addition, we use quantum control methods to find realistic switch-on pulses that bring the material into the predefined stationary Floquet band structure, i.e. into a state in which the desired Floquet modes of the target bands are fully occupied, so that they should remain stroboscopically stationary, with long lifetimes, when the weak periodic drives are started. Finally, we note that although we have focused on solid state materials, the technique that we propose could be equally used for the Floquet engineering of ultracold atoms in optical lattices, and to other non-equilibrium dynamical and correlated systems.

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Language(s): eng - English
 Dates: 2022-03-04
 Publication Status: Published online
 Pages: 11
 Publishing info: -
 Table of Contents: -
 Rev. Type: No review
 Identifiers: arXiv: 2203.03387
 Degree: -

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