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Transformation design and nonlinear Hamiltonians

By Thomas Brougham, Goce Chadzitaskos and Igor Jex


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

Topics: quantum optics, nonlinear optics, quantum information
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