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Synthetic magnetism for photon fluids

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arxiv 1605.03788 v2 pith:DECIZ5XI submitted 2016-05-12 cond-mat.quant-gas cond-mat.otherphysics.flu-dynphysics.opticsquant-ph

Synthetic magnetism for photon fluids

classification cond-mat.quant-gas cond-mat.otherphysics.flu-dynphysics.opticsquant-ph
keywords fieldsartificialcasesexcitationsfluidsgaugenonlinearitiesphoton
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a theory of artificial gauge fields in photon fluids for the cases of both second-order and third-order optical nonlinearities. This applies to weak excitations in the presence of pump fields carrying orbital angular momentum, and is thus a type of Bogoliubov theory. The resulting artificial gauge fields experienced by the weak excitations are an interesting generalization of previous cases and reflect the PT-symmetry properties of the underlying non-Hermitian Hamiltonian. We illustrate the observable consequences of the resulting synthetic magnetic fields for examples involving both second-order and third-order nonlinearities.

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