Engineering cubic quantum nondemolition Hamiltonian with mesoscopic optical parametric interactions

• URL: http://arxiv.org/abs/2305.03260v1
• Date: Fri, 5 May 2023 03:23:36 GMT
• Title: Engineering cubic quantum nondemolition Hamiltonian with mesoscopic optical parametric interactions
• Authors: Ryotatsu Yanagimoto, Rajveer Nehra, Edwin Ng, Alireza Marandi, Hideo Mabuchi
• Abstract summary: We show that strongly squeezed fundamental and second harmonic fields propagating in a $chi(2)$ nonlinear medium evolve under a cubic QND Hamiltonian. Our scheme can be highly tolerant against overall detection inefficiency with an auxiliary high-gain phase-sensitive optical amplifier.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a scheme to realize cubic quantum nondemolition (QND) Hamiltonian with optical parametric interactions. We show that strongly squeezed fundamental and second harmonic fields propagating in a $\chi^{(2)}$ nonlinear medium effectively evolve under a cubic QND Hamiltonian. We highlight the versatility offered by such Hamiltonian for engineering non-Gaussian quantum states, such as Schr\"odinger cat states and cubic phase states. We show that our scheme can be highly tolerant against overall detection inefficiency with an auxiliary high-gain phase-sensitive optical amplifier. Our proposal involves parametric interactions in a mesoscopic photon-number regime, significantly enhancing the effective nonlinear coupling from the nat\"ive single-photon coupling rate while providing powerful means to fight photon propagation loss. Experimental numbers suggest that our scheme might be feasible in the near future, particularly with pulsed nonlinear nanophotonics.

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