Matrix product state investigations of time-dependent spectral functions after a photoexcitation*

We study the time-dependent single-particle spectral function A(k,ω,t) after a photoexcitation of a variant of the 1d Hubbard model with a background staggered magnetic field using matrix product state (MPS) techniques.
In particular, we use the time-dependent variational principle (TDVP) to investigate the time evolution of the spectral weight, which is a quantity accessible to time-resolved ARPES experiments.
Different scenarios for the photoexcitations are discussed, e.g., Peierls-substitution or direct excitation in k-space.
Using MPS, we can study in detail the effect of the electron-electron interaction on the redistribution of the band populations in the various photoexcitation setups.