46 citations · 386 across the 28 of their papers we have counts for
29 papers
From the chiral model of TBG to the Bistritzer--MacDonald model
Simon Becker, Maciej Zworski
We analyse the splitting of exact flat bands in the chiral model of the twisted bilayer graphene (TBG) when the coupling of the full Bistritzer--MacDonald model is taken…
Degenerate flat bands in twisted bilayer graphene
Simon Becker, Tristan Humbert, Maciej Zworski
We prove that in the chiral limit of the Bistritzer--MacDonald Hamiltonian, there exist magic angles at which the Hamiltonian exhibits flat bands of multiplicity four instead of tw…
Classical shadow tomography for continuous variables quantum systems
Simon Becker, Nilanjana Datta, Ludovico Lami +1
In this article we develop a continuous variable (CV) shadow tomography scheme with wide ranging applications in quantum optics. Our work is motivated by the increasing experimenta…
Fine structure of flat bands in a chiral model of magic angles
Simon Becker, Tristan Humbert, Maciej Zworski
We analyze symmetries of Bloch eigenfunctions at magic angles for the Tarnopolsky--Kruchkov--Vishwanath chiral model of the twisted bilayer graphene (TBG) following the framework i…
Integrability in the chiral model of magic angles
Simon Becker, Tristan Humbert, Maciej Zworski
Magic angles in the chiral model of twisted bilayer graphene are parameters for which the chiral version of the Bistritzer--MacDonald Hamiltonian exhibits a flat band at energy zer…
Semiclassical quantization conditions in strained moiré lattices
Simon Becker, Jens Wittsten
In this article we generalize the Bohr-Sommerfeld rule for scalar symbols at a potential well to matrix-valued symbols having eigenvalues that may coalesce precisely at the bottom…