Quantum sensitivity analysis: a general framework for controlling quantum fluctuations
arxiv(2023)
摘要
Nonlinear systems are important in many areas of modern science and
technology. For example, nonlinearity plays an essential role in generating
quantum mechanical states of both light and matter. As a result, there has been
great interest in understanding the fundamental quantum nature of a variety of
nonlinear effects. At the same time, there is currently a large gap between the
classical and quantum understanding of nonlinear systems, with the classical
understanding being far more developed. To close this gap, we introduce a
general new theory which allows us to predict quantum effects in any nonlinear
system purely in terms of its classical description. We demonstrate the
predictions of our theory in experiments probing quantum fluctuations of
intense femtosecond pulses propagating in an optical fiber undergoing
soliton-fission supercontinuum generation, a process where broadband radiation
is produced by a narrow-band input. Famously, this process is known to be
highly noise-sensitive, leading to noisy outputs even from inputs with only
quantum fluctuations. In contrast, our experiments uncovered a variety of
previously hidden low-noise and noise-robust states arising from quantum
correlations and entanglement, in agreement with the predictions of our theory.
We also show how the theory points to new design concepts for controlling
quantum noise in optics and beyond. We expect that our results will provide a
template for discovering quantum effects in a wide variety of complex nonlinear
systems.
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