Multimode Photon Blockade with a Reversed Design Method

Recently, a groundbreaking advancement known as multimode photon blockade (MPB) is proposed by S. Chakram et al. [Nature. Phys. 18, 879-884 (2022)], showcasing its ability to generate multimode W states. Inspired by their work, in this paper, an interesting method is proposed to investigate MPB by engineering the eigenstates of the system Hamiltonian, which is defined as the reverse design method. It is demonstrated that an entangled state is created with a certain probability by sharing a single photon between two coupled Kerr-nonlinear cavities. This entangled state in the two-coupled cavities blocks the creation of the subsequent photons. The system is in a superposition of only the entangled state and the vacuum state. And the photon blockade (PB) exists in two cavities simultaneously. The reversed design method can also be utilized to study MPB in three coupled cavities with Kerr nonlinearities by creating a three-qubit W state.