Transformation design and nonlinear Hamiltonians
Quantum Physics
2015-05-13 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0907.4900,
title = {Transformation design and nonlinear Hamiltonians},
author = {Thomas Brougham and Goce Chadzitaskos and Igor Jex},
journal= {arXiv preprint arXiv:0907.4900},
year = {2015}
}
Comments
Accepted for publication in Journal of Modern Optics