Quantum Trajectories and Stochastic Schrödinger Equation for Nonlinear Optical Processes
The stochastic Schrödinger equation in a linear and equivalent nonlinear forms arises naturally by the back action of a broad-band continuous-in-time measurement of a quantum observable. It represents the classical stochastic outcomes of single measurements as stochastic quantum expectation values performed with a stochastic wave-function. Applications of this description to some nonlinear optical processes such as subharmonic amplification, nonlinear absorption and second-harmonic generation are discussed.
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