Abstract
We propose a method to generate transiently nonclassical motional states in a levitated optomechanical system. The nonclassicality arises from a nonlinearity induced by coupling the mechanical motion of a nanodiamond carrying a nitrogen-vacancy center with its spin degrees of freedom using a second-order magnetic field gradient (MFG). We employ a Fokker–Planck equation for the Wigner distribution to study the effect of the induced nonlinearity on the dynamics of the system. The time evolution of the Wigner distribution reveals the transient generation of several nonclassical states. The presence of these states is also confirmed by the negativity of the Wigner function. We expect such nonclassical states to have potential applications in quantum information processing and quantum metrology.
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