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We study the enhancement of cooperativity in the atom-light interface near ananophotonic waveguide for application to quantum nondemolition (QND)measurement of atomic spins. Here the cooperativity per atom is determined bythe ratio between the measurement strength and the decoherence rate.Counterintuitively, we find that by placing the atoms at an azimuthal positionwhere the guided probe mode has the lowest intensity, we increase thecooperativity. This arises because the QND measurement strength depends on theinterference between the probe and scattered light guided into an orthogonalpolarization mode, while the decoherence rate depends on the local intensity ofthe probe. Thus, by proper choice of geometry, the ratio of good to badscattering can be strongly enhanced for highly anisotropic modes. We apply thisto study spin squeezing resulting from QND measurement of spin projection noisevia the Faraday effect in two nanophotonic geometries, a cylindrical nanofiberand a square waveguide. We find that, with about 2500 atoms and using realisticexperimental parameters, $ \sim 6.3 $ and $ \sim 13 $ dB of squeezing can beachieved on the nanofiber and square waveguide, respectively.

Enhanced cooperativity for quantum-nondemolition-measurement--induced spin squeezing of atoms coupled to a nanophotonic waveguide