Mitigating the phase-mismatch effect in non-resonant four-wave mixing enabled by optimal control

• URL: http://arxiv.org/abs/2509.12827v1
• Date: Tue, 16 Sep 2025 08:51:21 GMT
• Title: Mitigating the phase-mismatch effect in non-resonant four-wave mixing enabled by optimal control
• Authors: Ning Jia, Hamid R. Hamedi, Jing Qian,
• Abstract summary: We present an efficient optimal-control strategy to mitigate the detrimental effects of phase-mismatch in an electromagnetically induced transparency medium.<n>By applying a set of fixed, linearly modulated coupling fields that induce a dark eigenmode, we globally optimize a single coupling detuning to minimize the spontaneous emission loss.
• Score: 11.994627414402585
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Phase-mismatch in nonlinear optical processes can severely limit the propagation and conversion efficiency of light fields. Here, we present an efficient optimal-control strategy to mitigate the detrimental effects of phase-mismatch in an electromagnetically induced transparency medium via non-resonant four-wave mixing (FWM). By applying a set of fixed, linearly modulated coupling fields that induce a dark eigenmode, we globally optimize a single coupling detuning to minimize the spontaneous emission loss, the primary factor limiting conversion efficiency. Our approach outperforms existing FWM schemes by providing strong robustness against large phase-mismatch variations while maintaining efficient probe-to-signal conversion. These results offer a promising route toward more efficient nonlinear frequency conversion, alleviating the stringent requirement for phase matching in experiments.

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