Forward-Backward Squeezing Propagator

الأصل · EN

I show that a usual propagator cannot be defined for the pseudo-diffusion equation of the Q-functions. Instead, a forward-backward propagator is defined, which motivated a generalization of Cahill-Glauber interpolating operator. Our generalized operator Q(p,q;σₚ⁻¹,σq) depends on two squeezing parameters σₚ and σq, and is shown to obey a generalized pseudo-diffusion equation or a diffusion equation, depending on the curve (σₚ(μ),σq(μ)) along which one moves in the (σₚ,σq) plane. An algorithm is also given for squeezing Q functions directly, using one-dimensional diffusion propagators.