2016/03/04 by Johannes Keller, Caroline Lasser, Keller, Johannes +3
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum chaos and dynamical systems #Scientific Research and Discoveries #quant-ph
paper · pdf · doi:10.48550/arxiv.1603.01478
6 pages, 5 figures
arxiv created 2016/03/04 · arxiv updated 2016/03/07
We discuss a new phase space method for the computation of quantum expectation values in the high frequency regime. Instead of representing a wavefunction by its Wigner function, which typically attains negative values, we define a new phase space density by adding a first-order Hermite spectrogram term as a correction to the Husimi function. The new phase space density yields accurate approximations of the quantum expectation values as well as allows numerical sampling from non-negative densities. We illustrate the new method by numerical experiments in up to 128 dimensions.