Sharp estimates for eigenvalues of localization operators with applications to area laws

Aleksei Kulikov, Martin Dam Larsen

We study the eigenvalues of the localization operator $S_{A,B}=P_A{\mathcal{F}}^{-1}{P}_B\mathcal{F}{P}_A$, where $\mathcal{F}$ is the Fourier transform and $A=c{A}_0,B=B_0$ for s…