%0 Journal Article %T Quantum quenches and competing orders: I. Time-dependent Hartree-Fock+BCS theory %A Wenbo Fu %A Ling-Yan Hung %A Subir Sachdev %J Physics %D 2014 %I arXiv %R 10.1103/PhysRevB.90.024506 %X We study the non-equlibrium dynamics of an electronic model of competing bond density wave order and $d$-wave superconductivity. In a time-dependent Hartree-Fock+BCS approximation, the dynamics reduces to the equations of motion of operators realizing the generators of SU(4) at each pair of momenta, $(\boldsymbol{k}, -\boldsymbol{k})$, in the Brillouin zone. We compare the results of numerical studies of our model with recent picosecond optical experiments. %U http://arxiv.org/abs/1401.7674v3