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Springer eBooks

Dynamical Approach to Steady State and Fluctuations in Optically Bistable Systems

G. S. Agarwa, Lorenzo M. Narducci, D.H. Feng, Robert Gilmore

Published Jan 1, 1978• 4 citations
Publisher
DOI
10.1007/978-1-4757-0665-9_31

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Bistable driven-dissipative systems near bifurcations can exhibit noise-activated switching between steady states. Here, we investigate how quantum vacuum fluctuations induce such switching in a biased optical parametric oscillator (OPO), a nonlinear system with intrinsic bistability. We show how microscopic quantum fluctuations driving macroscopic transitions can be controlled with an external bias field that reshapes the OPO steady-state metapotential. We derive analytical expressions for the average switching time and validate them through simulations of the OPO field distribution and inter-state probability flow under bias injection. We further examine how switching depends on bias strength, pump gain, and optical nonlinearity. Our findings clarify how quantum noise can shape macroscopic dynamics and provide a foundation for noise-assisted photonic machine learning and probabilistic quantum gates.
A graphical method is described where-by the important steady state and dynamic responses of an optical bistable device can be viewed simultaneously. This results in a set of ‘operating curves’ which indicate how well an optical bistable device satisfies the requirements to perform a particular logic function. The operating curves may be used to find the optimum conditions to perform a function and they also show how resilient this point is in the presence of fluctuations in operating conditions.