Multi-mode four-wave mixing with a spatially-structured pump
Jon D. Swaim, Erin M. Knutson, Onur Danaci, Ryan T. Glasser

TL;DR
This paper introduces a novel four-wave mixing setup using a structured pump beam to generate multi-mode light with potential quantum applications, achieved by phase matching modifications via near-field diffraction.
Contribution
It presents a new 4WM geometry with structured light that enables control over spatial and frequency modes, including quantum-squeezed twin beams.
Findings
Multi-mode output in spatial and frequency domains achieved.
Frequency tuning allows selection of different spatial modes.
Shared intensity squeezing demonstrated in twin-beam configuration.
Abstract
We demonstrate a new four-wave mixing (4WM) geometry based on structured light. By utilizing near-field diffraction through a narrow slit, the pump beam is asymmetrically structured to modify the phase matching condition, generating multi-mode output in both the spatial and frequency domains. We show that the frequency parameter enables selection of various spatial-mode outputs, including a twin-beam geometry which preserves relative intensity squeezing shared between the two beams. The results suggest that the engineering of atomic states via structured light may provide a pathway to a diverse set of quantum resources based on multi-mode squeezed light.
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