Zeeman Pumping of Higgs Bosons in the Balian--Werthamer State

Based on equations of motion of an SO(5) pseudo-spin, we demonstrate a quantum quench protocol using the magnetic pulse to excite an $\mathit{\text{undamped}}$ heavy Higgs boson in the Balian–Werthamer superfluid (or superconductor). To achieve that, it is essential to include the dipolar interaction in the effective Hamiltonian and to calculate the ground state self-consistently. The pumped heavy Higgs mode has the twisted angular momentum $J=2$ with the projection $J_z^{}=0$ and couples to a well-known light Higgs mode ($J=1$, $J_z^{}=0$). The numerical method of 26-point Lebedev quadrature is implemented concretely so as to observe the real-time coupled oscillation.