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arXiv:1701.05606

Apparent non-conservation of momentum of light due to strongly coupled nonlinear dynamics in a multimode optical fiber

Hamed Pourbeyram, Arash Mafi

Published Jan 19, 2017• 1 citation
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Abstract

The intimate interaction between phase-matched parametric amplification and strong nonlinear mode coupling in a multimode optical fiber results in a saturable spatial mode conversion that appears to violate the conservation of momentum. We investigate, by theory and experiment, this new regime of strong nonlinear interaction in multimode optical fibers and show that the appearance of the non-conservation of linear momentum is merely a clever sleight of hand by nature. This novel saturable mode conversion can potentially be used in a variety of applications including the generation of exotic quantum states of light.

DOI
10.48550/arxiv.1701.05606

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The intimate interaction between phase-matched parametric amplification and strong nonlinear mode coupling in a multimode optical fiber results in a saturable spatial mode conversion that appears to violate the conservation of momentum. We investigate, by theory and experiment, this new regime of strong nonlinear interaction in multimode optical fibers and show that the appearance of the non-conservation of linear momentum is merely a clever sleight of hand by nature. This novel saturable mode conversion can potentially be used in a variety of applications including the generation of exotic quantum states of light.
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We report, for the first time, the observation of spontaneous parametric down-conversion (SPDC) free of phase matching (momentum conservation). We alleviate the need to conserve momentum by exploiting the position-momentum uncertainty relation and using a planar geometry source, a 6 μm thick layer of lithium niobate. Nonphase-matched SPDC opens up a new platform on which to investigate fundamental quantum effects but it also has practical applications. The ultrasmall thickness leads to a frequency spectrum an order of magnitude broader than that of phase-matched SPDC. The strong two-photon correlations are still preserved due to energy conservation. This results in ultrashort temporal correlation widths and huge frequency entanglement. The studies we make here can be considered as the initial steps into the emerging field of nonlinear quantum optics on the microscale and nanoscale.
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We show that an Optical Parametric Oscillator which is simultaneously resonant for several modes, either spatial or temporal, generates both below and above threshold a multimode non-classical state of light consisting of squeezed vacuum states in all the non-oscillating modes. We confirm this prediction by an experiment dealing with the degenerate TEM01_{01}01​ and TEM10_{10}10​ modes. We show the conservation of non-classical properties when the threshold is crossed. The experiment is made possible by the implementation of a new method to lock the relative phase of the pump and the injected beam.