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Multimode Bogoliubov transformation and Husimi's Q-function

Published 13 Apr 2020 in quant-ph, math-ph, math.MP, and physics.optics | (2004.05766v1)

Abstract: In this paper, we present numerical schemes for evaluating the matrix elements of Gaussian/non-Gaussian operators in the Fock state basis, which are identified as multivariate Hermite polynomials (MHPs). Using the integral transformation operator to perform the multimode Bogoliubov transformation, Husimi's Q-functions of Gaussian/non-Gaussian operators are easily derived as the generating functions of MHPs.

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Authors (1)

  1. Joonsuk Huh 

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