000119900 001__ 119900
000119900 005__ 20230914083627.0
000119900 0247_ $$2doi$$a10.1103/PhysRevResearch.4.033213
000119900 0248_ $$2sideral$$a130621
000119900 037__ $$aART-2022-130621
000119900 041__ $$aeng
000119900 100__ $$0(orcid)0000-0002-9253-7926$$aCastro, Alberto$$uUniversidad de Zaragoza
000119900 245__ $$aFloquet engineering the band structure of materials with optimal control theory
000119900 260__ $$c2022
000119900 5060_ $$aAccess copy available to the general public$$fUnrestricted
000119900 5203_ $$aWe demonstrate that the electronic structure of a material can be deformed into Floquet pseudobands with arbitrarily tailored shapes. We achieve this goal with a 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), and closure of the gap when departing from a modified graphene model with a nonzero 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 for other nonequilibrium dynamical and correlated systems.
000119900 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/FIS2017-82426-P
000119900 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/
000119900 592__ $$a1.824$$b2022
000119900 593__ $$aPhysics and Astronomy (miscellaneous)$$c2022$$dQ1
000119900 594__ $$a7.1$$b2022
000119900 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion
000119900 700__ $$aDe Giovannini, Umberto
000119900 700__ $$aSato, Shunsuke A.
000119900 700__ $$aHübener, Hannes
000119900 700__ $$aRubio, Angel
000119900 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica
000119900 773__ $$g4, 3 (2022), 033213 [11 pp.]$$pPhys. rev. res.$$tPhysical Review Research$$x2643-1564
000119900 8564_ $$s1209547$$uhttps://zaguan.unizar.es/record/119900/files/texto_completo.pdf$$yVersión publicada
000119900 8564_ $$s2996902$$uhttps://zaguan.unizar.es/record/119900/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada
000119900 909CO $$ooai:zaguan.unizar.es:119900$$particulos$$pdriver
000119900 951__ $$a2023-09-13-13:58:27
000119900 980__ $$aARTICLE