Light Squeezing at the Transition to Quantum Chaos

Abstract

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.

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

References in corpus (2)

• Squeezed Light Generation in Nonlinear System with Chaotic Dynamics
• Chaos-Assisted Light Squeezing

Cited by in corpus (3)

• Sub-Poissonian statistics in order-to-chaos transition
• Spin Squeezing, Negative Correlations, and Concurrence in the Quantum Kicked Top Model
• The 1/N-expansion, quantum-classical correspondence and nonclassical states generation in dissipative higher-order anharmonic oscillators