- Open Access
Multipartite quantum correlated bright frequency combs
Phys. Rev. Research 7, 033173 – Published 21 August, 2025
DOI: https://doi.org/10.1103/cc69-5gq2
Abstract
This experimental work demonstrates multipartite quantum correlation in bright frequency combs out of a microresonator integrated on silicon nitride operating above its oscillation threshold. Multipartite features, going beyond so far reported two-mode correlation, naturally arise due to a cascade of nonlinear optical processes, making a single-color laser pump sufficient to initiate their generation. Our results show the transition from two-mode to multipartite correlation, witnessed by noise reductions as low as and , respectively, compared to corresponding classical levels. A constant of the movement of the nonlinear interaction Hamiltonian is identified and used to asses the multipartite behavior. Reported demonstrations pave the way to next generation on-chip multipartite sources for quantum technologies applications.
Physics Subject Headings (PhySH)
Article Text
References (44)
- C. Fabre and N. Treps, Modes and states in quantum optics, Rev. Mod. Phys. 92, 035005 (2020).
- O. Pfister, Continuous-variable quantum computing in the quantum optical frequency comb, J. Phys. B 53, 012001 (2020).
- W. Asavanant and A. Furusawa, Optical Quantum Computers: A Route to Practical (AIP Publishing LLC, Melville, New York, 2022).
- M. Epping, H. Kampermann, C. macchiavello, and D. Bruß, Multi-partite entanglement can speed up quantum key distribution in networks, New J. Phys. 19, 093012 (2017).
- X. Guo, C. R. Breum, J. Borregaard, S. Izumi, M. V. Larsen, T. Gehring, M. Christandl, J. S. Neergaard-Nielsen, and U. L. Andersen, Distributed quantum sensing in a continuous-variable entangled network, Nat. Phys. 16, 281 (2020).
- Z. Zhang, C. You, O. S. Magañ a-Loaiza, R. Fickler, R. de J. León-Montiel, J. P. Torres, T. S. Humble, S. Liu, Y. Xia, and Q. Zhuang, Entanglement-based quantum information technology: a tutorial, Adv. Opt. Photon. 16, 60 (2024).
- K. Zhang, W. Wang, S. Liu, X. Pan, J. Du, Y. Lou, S. Yu, S. Lv, N. Treps, C. Fabre, and J. Jing, Reconfigurable hexapartite entanglement by spatially multiplexed four-wave mixing processes, Phys. Rev. Lett. 124, 090501 (2020).
- S. Yokoyama, R. Ukai, S. C. Armstrong, C. Sornphiphatphong, T. Kaji, S. Suzuki, J. Yoshikawa, H. Yonezawa, N. C. Menicucci, and A. Furusawa, Ultra-large-scale continuous-variable cluster states multiplexed in the time domain, Nat. Photon. 7, 982 (2013).
- J.-i. Yoshikawa, S. Yokoyama, T. Kaji, C. Sornphiphatphong, Y. Shiozawa, K. Makino, and A. Furusawa, Invited article: Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing, APL Photon. 1, 060801 (2016).
- W. Asavanant, Y. Shiozawa, S. Yokoyama, B. Charoensombutamon, H. Emura, R. N. Alexander, S. Takeda, J.-i. Yoshikawa, N. C. Menicucci, H. Yonezawa, and A. Furusawa, Generation of time-domain-multiplexed two-dimensional cluster state, Science 366, 373 (2019).
- M. V. Larsen, X. Guo, C. R. Breum, J. S. Neergaard-Nielsen, and U. L. Andersen, Deterministic generation of a two-dimensional cluster state, Science 366, 369 (2019).
- M. Pysher, Y. Miwa, R. Shahrokhshahi, R. Bloomer, and O. Pfister, Parallel generation of quadripartite cluster entanglement in the optical frequency comb, Phys. Rev. Lett. 107, 030505 (2011).
- J. Roslund, R. M. De Araujo, S. Jiang, C. Fabre, and N. Treps, Wavelength-multiplexed quantum networks with ultrafast frequency combs, Nat. Photon. 8, 109 (2014).
- M. Chen, N. C. Menicucci, and O. Pfister, Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb, Phys. Rev. Lett. 112, 120505 (2014).
- F. A. S. Barbosa, A. S. Coelho, L. F. Muñoz-Martínez, L. Ortiz-Gutiérrez, A. S. Villar, P. Nussenzveig, and M. Martinelli, Hexapartite entanglement in an above-threshold optical parametric oscillator, Phys. Rev. Lett. 121, 073601 (2018).
- C. M. Caves, Quantum-mechanical radiation-pressure fluctuations in an interferometer, Phys. Rev. Lett. 45, 75 (1980).
- M. G. Paris, Displacement operator by beam splitter, Phys. Lett. A 217, 78 (1996).
- F. A. Barbosa, A. S. Coelho, K. N. Cassemiro, P. Nussenzveig, C. Fabre, M. Martinelli, and A. S. Villar, Beyond spectral homodyne detection: Complete quantum measurement of spectral modes of light, Phys. Rev. Lett. 111, 200402 (2013).
- R. A. Kögler, G. C. Rickli, R. R. Domeneguetti, X. Ji, A. L. Gaeta, M. Lipson, M. Martinelli, and P. Nussenzveig, Quantum state tomography in a third-order integrated optical parametric oscillator, Opt. Lett. 49, 3150 (2024).
- A. Heidmann, R. J. Horowicz, S. Reynaud, E. Giacobino, C. Fabre, and G. Camy, Observation of quantum noise reduction on twin laser beams, Phys. Rev. Lett. 59, 2555 (1987).
- S. Feng and O. Pfister, Quantum interference of ultrastable twin optical beams, Phys. Rev. Lett. 92, 203601 (2004).
- A. S. Villar, L. S. Cruz, K. N. Cassemiro, M. Martinelli, and P. Nussenzveig, Generation of bright two-color continuous variable entanglement, Phys. Rev. Lett. 95, 243603 (2005).
- A. Coelho, F. Barbosa, K. N. Cassemiro, A. S. Villar, M. Martinelli, and P. Nussenzveig, Three-color entanglement, Science 326, 823 (2009).
- Y. K. Chembo, Kerr optical frequency combs: theory, applications and perspectives, Nanophotonics 5, 214 (2016).
- L. S. Madsen, F. Laudenbach, M. F. Askarani, F. Rortais, T. Vincent, J. F. F. Bulmer, F. M. Miatto, L. Neuhaus, L. G. Helt, M. J. Collins, A. E. Lita, T. Gerrits, S. W. Nam, V. D. Vaidya, M. Menotti, I. Dhand, Z. Vernon, N. Quesada, and J. Lavoie, Quantum computational advantage with a programmable photonic processor, Nature (London) 606, 75 (2022).
- L. Labonté, O. Alibart, V. D'Auria, F. Doutre, J. Etesse, G. Sauder, A. Martin, E. Picholle, and S. Tanzilli, Integrated photonics for quantum communications and metrology, PRX Quantum 5, 010101 (2024).
- Y. Zhang, M. Menotti, K. Tan, V. Vaidya, D. Mahler, L. Helt, L. Zatti, M. Liscidini, B. Morrison, and Z. Vernon, Squeezed light from a nanophotonic molecule, Nat. Commun. 12, 2233 (2021).
- Y. K. Chembo and N. Yu, Modal expansion approach to optical-frequency-comb generation with monolithic whispering-gallery-mode resonators, Phys. Rev. A 82, 033801 (2010).
- E. Gouzien, L. Labonté, J. Etesse, A. Zavatta, S. Tanzilli, V. D'Auria, and G. Patera, Hidden and detectable squeezing from microresonators, Phys. Rev. Res. 5, 023178 (2023).
- M. A. Guidry, D. M. Lukin, K. Y. Yang, and J. Vuckovic, Multimode squeezing in soliton crystal microcombs, Optica 10, 694 (2023).
- M. Sloan, A. Viola, M. Liscidini, and J. E. Sipe, High gain squeezing in lossy resonators: an asymptotic field approach, Phys. Rev. A 111, 063502 (2025).
- V. D. Vaidya, B. Morrison, L. Helt, R. Shahrokshahi, D. Mahler, M. Collins, K. Tan, J. Lavoie, A. Repingon, M. Menotti et al., Broadband quadrature-squeezed vacuum and nonclassical photon number correlations from a nanophotonic device, Sci. Adv. 6, eaba9186 (2020).
- Z. Yang, M. Jahanbozorgi, D. Jeong, S. Sun, O. Pfister, H. Lee, and X. Yi, A squeezed quantum microcomb on a chip, Nat. Commun. 12, 4781 (2021).
- M. Jahanbozorgi, Z. Yang, S. Sun, H. Chen, R. Liu, B. Wang, and X. Yi, Generation of squeezed quantum microcombs with silicon nitride integrated photonic circuits, Optica 10, 1100 (2023).
- Z. Wang, K. Li, Y. Wang, X. Zhou, Y. Cheng, B. Jing, F. Sun, J. Li, Z. Li, B. Wu, Q. Gong, Q. He, B.-B. Li, and Q.-F. Yang, Large-scale cluster quantum microcombs, Light Sci. Appl. 14, 164 (2025).
- X. Jia, C. Zhai, X. Zhu, C. You, Y. Cao, X. Zhang, Y. Zheng, Z. Fu, J. Mao, T. Dai, L. Chang, X. Su, Q. Gong, and J. Wang, Continuous-variable multipartite entanglement in an integrated microcomb, Nature (London) 639, 329 (2025).
- M. Karpov, M. H. Pfeiffer, H. Guo, W. Weng, J. Liu, and T. J. Kippenberg, Dynamics of soliton crystals in optical microresonators, Nat. Phys. 15, 1071 (2019).
- C. Godey, I. V. Balakireva, A. Coillet, and Y. K. Chembo, Stability analysis of the spatiotemporal lugiato-lefever model for kerr optical frequency combs in the anomalous and normal dispersion regimes, Phys. Rev. A 89, 063814 (2014).
- A. Dutt, K. Luke, S. Manipatruni, A. L. Gaeta, P. Nussenzveig, and M. Lipson, On-chip optical squeezing, Phys. Rev. Appl. 3, 044005 (2015).
- Y. Shen, P.-Y. Hsieh, S. K. Sridhar, S. Feldman, Y.-C. Chang, T. A. Smith, and A. Dutt, Strong nanophotonic quantum squeezing exceeding 3.5 db in a foundry-compatible kerr microresonator, Optica 12, 302 (2025).
- M. A. Guidry, D. M. Lukin, K. Y. Yang, R. Trivedi, and J. Vučković, Quantum optics of soliton microcombs, Nat. Photon. 16, 52 (2022).
- A. Bensemhoun, C. Gonzalez-Arciniegas, O. Pfister, L. Labonté, J. Etesse, A. Martin, S. Tanzilli, G. Patera, and V. d'Auria, Multipartite entanglement in bright frequency combs out of microresonators, Phys. Lett. A 493, 129272 (2024).
- H. E. Dirani, L. Youssef, C. Petit-Etienne, S. Kerdiles, P. Grosse, C. Monat, E. Pargon, and C. Sciancalepore, Ultralow-loss tightly confining waveguides and high-Q microresonators, Opt. Express 27, 30726 (2019).
- Q. Wilmart, S. Guerber, J. Faugier-Tovar, Y. Ibrahimi, C. Petit-Etienne, L. Youssef, C. Socquet-Clerc, A. Myko, K. Ribaud, F. Duport, E. Pargon, and F. V. Dijk, A device library for the ultra-low loss Si3N4 platform, in Silicon Photonics XVII, Vol. 12006, edited by G. T. Reed and A. P. Knights, International Society for Optics and Photonics (SPIE, Bellingham, Washington USA, 2022), p. 120060D.