Superposition of coherent states in Kerr medium
Wu Jin-wei, Guo Guang-Can · Acta Physica Sinica (Overseas Edition) · 1996
The evolution of the input coherent state in the Kerr medium is studied. Upon the derivation we know that the output state at time t which corresponds to a rational number is Schrodinger's cat state. Using Fourier integral of the evolution operator, we obtain the integral expression of the output state at time t which corresponds to an irrational number. It is a kind of one-dimensional continuous superposition of coherent states, not an ordinary Schrodinger's cat state.