Multimode Bogoliubov transformation and Husimi's Q-function
Quantum Physics
2020-11-24 v1 Mathematical Physics
math.MP
Optics
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.
Cite
@article{arxiv.2004.05766,
title = {Multimode Bogoliubov transformation and Husimi's Q-function},
author = {Joonsuk Huh},
journal= {arXiv preprint arXiv:2004.05766},
year = {2020}
}
Comments
9 pages