In this work, we propose a scheme for generating superpositions of Fock states whose numbers differ by four or eight. The proposed protocol is based on photon-number-resolving measurements on multimode Gaussian states. We compare of the generated states with multicomponent Schrödinger cat states. We evaluate the fidelity and determine how it scales with the number of detected particles. Furthermore, we derive the optimal configuration for the generation such states.

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Entanglement generation via full-resonant four-wave mixing

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Optics Communications

The generation of multicomponent entangled Schrödinger cat states via a fully quantized nondegenerate four-wave mixing process

Dmitri S. Mogilevtsev, S. Ya. Kilin

Published Dec 1, 1996• 11 citations

Publisher

DOI: 10.1016/0030-4018(96)00430-0

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\mathbb{Z}_{n+1}

phase structure, whereas the full model retains operator-valued nonlinear Kerr phases. For the

n=2

intraresonance branch, the four-mode reduced initial-value problem with fixed coherent pump phases has a residual

\mathbb{Z}_3

symmetry and generates cat-like Wigner structures near the interaction length at which the generated-mode population

\langle n_1\rangle

is maximal and the pump population

\langle n_0\rangle

is strongly depleted. The resulting states are not the canonical even or odd coherent states of Dodonov, Malkin, and Man'ko, but multicomponent Schrödinger-cat-like states characterized by Wigner negativity, non-Poissonian statistics, pump-mode quadrature squeezing, and large single-mode Schmidt numbers. Comparison of the reduced and full Kerr dynamics shows that uncompensated SPM/XPM-induced phase shearing suppresses the interference fringes and Wigner negativity responsible for the clearest cat-like signatures. These results identify quantum-depleted intraresonance Kerr dynamics as a route to symmetry-organized non-Gaussian states in Kerr resonators.