Light Squeezing at the Transition to Quantum Chaos

Details Light Squeezing at the Transition to Quantum Chaos Light Squeezing at the Transition to Quantum Chaos

1998-04-28

arxiv.org/abs/chao-dyn/9804041v2

Phys. Rev. E 57, 4023-4034 (1998)

Nonlinear Sciences

Chaotic Dynamics

14 pages, RevTEX, 7 figs. Minor differences from PRE text: Misprint in formula (15b) is corrected. Replaced by version with fi

Scientific paper

10.1103/PhysRevE.57.4023

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 increases exponentially in time, in contrast to the regular dynamics, where the degree of squeezing increases in time only power-wise. We demonstrate the one-to-one correspondence of the degree of squeezing and the value of the local Lyapunov instability rate in corresponding classical chaotic system.

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