Inigo Urizar-Lanz, Philipp Hyllus, Inigo Egusquiza, Morgan W. Mitchell, Geza Toth
We present a method for measuring the magnetic field gradient with singlets realized with spin-1/2 particles. While the singlet state does not change under the influence of homogenous magnetic fields, the variance of the collective spin components start to grow under a field gradient. We compute the dynamics of this variance analytically for a chain of spins and also for an ensemble of particles with a given density distribution. We calculate an upper bound on how exactly the field gradient can be estimated from the measured data. The proposal is relevant for cold atomic ensembles where multiparticle singlet states can be prepared by spin squeezing and the differential magnetometry can be carried out.
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http://arxiv.org/abs/1203.3797
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