We demonstrate how to manipulate quantum chaos with a single photon in a
hybrid quantum device combining cavity QED and optomechanics. Specifically, we
show that this system changes between integrable and chaotic relying on the
photon-state of the injected field. This onset of chaos originates from the
photon-dependent chaotic threshold of the qubit-field coupling induced by the
optomechanical interaction. By deriving the Loschmidt Echo we observe clear
differences in the sensitivity to perturbations in the regular versus chaotic
regimes. We also present classical analog of this chaotic behavior, and find
good correspondence between chaotic quantum dynamics and classical physics. Our
work opens up a new route to achieve quantum manipulations, which are crucial
elements in engineering new types of on-chip quantum devices and quantum
information science.Comment: 11 pages, 4 figure
