Supplementary Material

The Supplementary Material contains three sections. Sec. S1 provides a detailed derivation of tri-frequency DBD Hamiltonian (Eq. (1)) in the laboratory frame. Sec. S2 provides a detailed derivation of the unitary transformation from the laboratory-frame DBD Hamiltonian (Eq. (1)) to the twin-lattice center-of-mass frame (Eq. (3)). Sec. S3 defines the beam-splitter and mirror pulse efficiencies, evaluates their robustness under experimental imperfections, and outlines the cost function used in the OCT optimization.