Explicit effective Hamiltonians for general linear quantum-optical networks

Details Explicit effective Hamiltonians for general linear quantum-optical networks Explicit effective Hamiltonians for general linear quantum-optical networks

2003-06-18

arxiv.org/abs/quant-ph/0306123v6

Journal of Optics B 6, L1 (2003)

Physics

Quantum Physics

Scientific paper

10.1088/1464-4266/6/1/L01

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.

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