Engineering cubic quantum nondemolition Hamiltonian with mesoscopic optical parametric interactions

Kavli Affiliate: Alireza Marandi

| First 5 Authors: Ryotatsu Yanagimoto, Rajveer Nehra, Edwin Ng, Alireza Marandi, Hideo Mabuchi

| Summary:

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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