LIGHT SQUEEZING AT THE TRANSITION TO QUANTUM CHAOS

We investigate theoretically the dynamics of squeezed state generation in nonlinear systems possessing a transition from regular to chaotic dynamics in the limit of a large number of photons. As an example, the model of a kicked Kerr oscillator is considered. We show that at the transition to quantum chaos the maximum possible degree of squeezing i ncreases exponentially in time, in contrast to the regular dynamics, w here the degree of squeezing increases only powerwise in time. We demo nstrate the one-to-one correspondence of the degree of squeezing and t he value of the local Lyapunov instability rate in the corresponding c lassical chaotic system.