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Can a quantum nondemolition measurement improve the sensitivity of an atomic magnetometer?

  • Author(s): Auzinsh, M
  • Budker, Dmitry
  • Kimball, D F
  • Rochester, S M
  • Stalnaker, J E
  • Sushkov, A O
  • Yashchuk, V V
  • et al.
Abstract

We consider the limitations due to noise (e.g., quantum projection noise and photon shot-noise) on the sensitivity of an idealized atomic magnetometer that utilizes spin squeezing induced by a continuous quantum nondemolition measurement. Such a magnetometer measures spin precession of N atomic spins by detecting optical rotation of far-detuned light. We show that for very short measurement times, the optimal sensitivity scales as N-3/4; if strongly squeezed probe light is used, the Heisenberg limit of N-1 scaling can be achieved. However, if the measurement time exceeds tau(rel)/N-1/2 in the former case, or tau(rel)/N in the latter, where tau(rel) is the spin relaxation time, the scaling becomes N-1/2, as for a standard shot-noise-limited magnetometer.

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