Explicit effective Hamiltonians for general linear quantum-optical networks
Quantum Physics
2009-11-10 v6
Abstract
Linear optical networks are devices that turn classical incident modes by a linear transformation into outgoing ones. In general, the quantum version of such transformations may mix annihilation and creation operators. We derive a simple formula for the effective Hamiltonian of a general linear quantum network, if such a Hamiltonian exists. Otherwise we show how the scattering matrix of the network is decomposed into a product of three matrices that can be generated by Hamiltonians.
Keywords
Cite
@article{arxiv.quant-ph/0306123,
title = {Explicit effective Hamiltonians for general linear quantum-optical networks},
author = {U. Leonhardt and A. Neumaier},
journal= {arXiv preprint arXiv:quant-ph/0306123},
year = {2009}
}