Explicit effective Hamiltonians for general linear quantum-optical networks

U. Leonhardt; A. Neumaier

doi:10.1088/1464-4266/6/1/l01

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Explicit effective Hamiltonians for general linear quantum-optical networks

U. Leonhardt·A. Neumaier

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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.

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U. Leonhardt, A. Neumaier. 2003-10-02. Explicit effective Hamiltonians for general linear quantum-optical networks. https://doi.org/10.1088/1464-4266/6/1/l01

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