5 research outputs found
Optimally squeezed spin states
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 . Using the variational principle we prove that these
states are eigensolutions of the Hamiltonian
and that, for large , the states become equivalent to the quadrature
squeezed states of the harmonic oscillator. We present numerical results that
illustrate the validity of the equivalence