Optimally squeezed spin states

Details Optimally squeezed spin states Optimally squeezed spin states

2003-03-20

arxiv.org/abs/cond-mat/0303437v1

Physics

Condensed Matter

Scientific paper

10.1103/PhysRevA.68.013807

We consider optimally spin-squeezed states that maximize the sensitivity of the Ramsey spectroscopy, and for which the signal to noise ratio scales as the number of particles $N$. Using the variational principle we prove that these states are eigensolutions of the Hamiltonian $ H(\lambda)=\lambda S_z^2-S_x, $ and that, for large $N$, the states become equivalent to the quadrature squeezed states of the harmonic oscillator. We present numerical results that illustrate the validity of the equivalence.

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