Regensburg 2022 – wissenschaftliches Programm

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MM: Fachverband Metall- und Materialphysik

MM 9: Non-equilibrium Phenomena in Materials Induced by Electrical and Magnetic Fields 2

MM 9.4: Vortrag

Montag, 5. September 2022, 18:15–18:30, H45

Floquet engineering the band structure of materials with optimal control theory — •Alberto Castro^1,2, Umberto de Giovannini^3,4, Shunsuke Sato^5,4, Hannes Hübener⁴, and Angel Rubio^4,6 — ¹ARAID Foundation, Zaragoza (Spain) — ²Institute for Biocomputation and Physics of Complex Systems, University of Zaragoza, Spain — ³Universitá degli Studi di Palermo, Dipartimento di Fisica e Chimica - Emilio Segrè, Palermo, Italy — ⁴Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany — ⁵Center for Computational Sciences, University of Tsukuba, Tsukuba , Japan — ⁶Center for Computational Quantum Physics (CCQ), The Flatiron Institute, New York NY

We demonstrate that the electronic structure of a material can be deformed into Floquet pseudo-bands with tailored shapes. We achieve this goal with a novel combination of quantum optimal control theory and Floquet engineering. We illustrate this framework utilizing a tight-binding description of graphene. We show several 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, or closure of the gap when departing from a modified graphene model with a non-zero 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 optimal amplitudes of each component that optimize the shape of the bands as desired.