# Bistability and chaos at low levels of quanta.

@article{Gevorgyan2013BistabilityAC, title={Bistability and chaos at low levels of quanta.}, author={Tigran V. Gevorgyan and Anna R. Shahinyan and Lock Yue Chew and G. Y. Kryuchkyan}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2013}, volume={88 2}, pages={ 022910 } }

We study nonlinear phenomena of bistability and chaos at a level of few quanta. For this purpose, we consider a single-mode dissipative oscillator with strong Kerr nonlinearity with respect to the dissipation rate driven by a monochromatic force as well as by a train of Gaussian pulses. The quantum effects and decoherence in the oscillatory mode are investigated in the framework of the purity of states and the Wigner functions calculated from the master equation. We demonstrate the quantum…

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