Classical evolution of quantum fluctuations in spin-like systems : squeezing and entanglement

Abstract

It is shown that the quantum dynamics of spin coherent states governed by quadratic spin-like Hamiltonians, in the large spin limit, is well described in terms of evolution along classical trajectories on the two-dimensional sphere. Two non-linear effects: (a) spin squeezing and (b) spin entanglement are analysed using the Wigner function approach in the quasiclassical limit and numerically compared with the exact solution.