Transformation design and nonlinear Hamiltonians

Details Transformation design and nonlinear Hamiltonians Transformation design and nonlinear Hamiltonians

2009-07-28

arxiv.org/abs/0907.4900v1

Physics

Quantum Physics

Accepted for publication in Journal of Modern Optics

Scientific paper

We study a class of nonlinear Hamiltonians, with applications in quantum optics. The interaction terms of these Hamiltonians are generated by taking a linear combination of powers of a simple `beam splitter' Hamiltonian. The entanglement properties of the eigenstates are studied. Finally, we show how to use this class of Hamiltonians to perform special tasks such as conditional state swapping, which can be used to generate optical cat states and to sort photons.

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