Efficient wave function simulations in nonlinear quantum optics using an adaptive coherent state basis

摘要

We show that a finite set of coherent states adaptively chosen from a discrete triangular grid in phase space can be used as computational basis for Quantum Monte Carlo wave function simulations. For highly excited mode dynamics this leads to a substantially reduced basis size as compared to a photon number basis, thereby significantly improving memory cost as well as computation time. The presented method is demonstrated on an example from cavity QED i.e. an optical parametric oscillator. For the parametric oscillator the adaptive basis splits into localized subsets allowing efficient representation of bimodal or even more complex phase space distributions.