Nonthermal interacting-magnon dynamics in an optically driven 2D Heisenberg antiferromagnet

Recent theory results demonstrate a dynamical phase transition involving nonthermal magnon populations in the antiferromagnetic phase of the 2D Hubbard model upon laser driving [Walldorf et al., Phys. Rev. B 100, 121110(R) (2019)]. These results were obtained in a one loop non-interacting magnon theory. Here we present first steps towards a full interacting theory of this dynamical phase transition using a Dyson Maleev large Spin expansion and a Boltzmann formalism to investigate the effects of magnon-magnon interactions on the dynamical phase transition. The dynamical phase transition will be more completely characterized and implications for pump-probe experiments and ultrafast materials design of strongly correlated magnetism will be discussed.