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PreprintCC BY-NC-SA 4.0arXiv

Fluctuation-Driven Nonlinear Amplification of Quantum Statistics

Abstract

Photon statistics have moved to the forefront of modern optics, as intensity fluctuations and correlations shape multiphoton interactions and reveal information beyond mean-intensity measurements. Developing high-quality photon sources with pronounced correlations is a fundamental necessity in these fields. Here we demonstrate fluctuation-driven nonlinear statistical amplification of quantum light in spontaneous four-wave mixing using filtered amplified spontaneous emission (ASE). Extending the coherent-pump framework to fluctuating fields, we show how nonlinear weighting of pump intensity combines with bosonic bunching to amplify quantum statistics and reshape temporal correlations. In a SiN microring, ASE pumping increases the zero-delay unconditional second-order correlation from 2.01 to 7.58 and extends the Hanbury Brown--Twiss correlation time by a factor of approximately 2.4. The super-bunched quantum source nevertheless retains heralded single-photon behaviour with gH(2)(0)≃0.04, while the same ASE pump supports time--energy entanglement in a silicon waveguide with a raw Franson visibility of 89.84\%. These results establish driving-field statistics as a design dimension for quantum light, broadening the horizons for research into higher-order correlations and nonlinear physics.

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BibTeX
@misc{song2026fluctuationdriven,
  title = {{Fluctuation-Driven Nonlinear Amplification of Quantum Statistics}},
  author = {Yuewei Song and Zhenghe Zhou and Shuai Wan and Hecheng Wang and Jinpeng Li and Bowen Liu and Yinhai Li and Chunhua Dong and Guangcan Guo and Chong Wang and Zhiyuan Zhou and Baosen Shi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.26674},
  eprint = {2609.26674},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.26674},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - Fluctuation-Driven Nonlinear Amplification of Quantum Statistics
AU  - Yuewei Song
AU  - Zhenghe Zhou
AU  - Shuai Wan
AU  - Hecheng Wang
AU  - Jinpeng Li
AU  - Bowen Liu
AU  - Yinhai Li
AU  - Chunhua Dong
AU  - Guangcan Guo
AU  - Chong Wang
AU  - Zhiyuan Zhou
AU  - Baosen Shi
PY  - 2026
DA  - 2026/09/22
PB  - arXiv
DO  - 10.48550/arxiv.2609.26674
UR  - https://arxiv.org/abs/2609.26674
AB  - Photon statistics have moved to the forefront of modern optics, as intensity fluctuations and correlations shape multiphoton interactions and reveal information beyond mean-intensity measurements. Developing high-quality photon sources with pronounced correlations is a fundamental necessity in these fields. Here we demonstrate fluctuation-driven nonlinear statistical amplification of quantum light in spontaneous four-wave mixing using filtered amplified spontaneous emission (ASE). Extending the coherent-pump framework to fluctuating fields, we show how nonlinear weighting of pump intensity combines with bosonic bunching to amplify quantum statistics and reshape temporal correlations. In a SiN microring, ASE pumping increases the zero-delay unconditional second-order correlation from 2.01 to 7.58 and extends the Hanbury Brown--Twiss correlation time by a factor of approximately 2.4. The super-bunched quantum source nevertheless retains heralded single-photon behaviour with g_H^(2)(0)≃0.04, while the same ASE pump supports time--energy entanglement in a silicon waveguide with a raw Franson visibility of 89.84\%. These results establish driving-field statistics as a design dimension for quantum light, broadening the horizons for research into higher-order correlations and nonlinear physics.
ER  -