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Nonlinear quantum behavior of ultrashort-pulse optical parametric oscillators

Onodera, Tatsuhiro and Ng, Edwin and Gustin, Chris and Lörch, Niels and Yamamura, Atsushi and Hamerly, Ryan and McMahon, Peter L. and Marandi, Alireza and Mabuchi, Hideo (2022) Nonlinear quantum behavior of ultrashort-pulse optical parametric oscillators. Physical Review A, 105 (3). Art. No. 033508. ISSN 2469-9926. doi:10.1103/PhysRevA.105.033508. https://resolver.caltech.edu/CaltechAUTHORS:20200122-134148267

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Abstract

The quantum features of ultrashort-pulse optical parametric oscillators (OPOs) are investigated theoretically in the nonlinear regime near and above threshold. Viewing the pulsed OPO as a multimode open quantum system, we rigorously derive a general input-output model that features nonlinear coupling among many cavity (i.e., system) signal modes and a broadband single-pass (i.e., reservoir) pump field. Under appropriate assumptions, our model produces a Lindblad master equation with multimode nonlinear Lindblad operators describing two-photon dissipation and a multimode four-wave-mixing Hamiltonian describing a broadband, dispersive optical cascade, which we show is required to preserve causality. To simplify the multimode complexity of the model, we employ a supermode decomposition to perform numerical simulations in the regime where the pulsed supermodes experience strong single-photon nonlinearity. We find that the quantum nonlinear dynamics induces pump depletion as well as corrections to the below-threshold squeezing spectrum predicted by linearized models. We also observe the formation of non-Gaussian states with Wigner-function negativity and show that the multimode interactions with the pump, both dissipative and dispersive, can act as effective decoherence channels. Finally, we briefly discuss some experimental considerations for potentially observing such quantum nonlinear phenomena with ultrashort-pulse OPOs on nonlinear nanophotonic platforms.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.105.033508DOIArticle
https://arxiv.org/abs/1811.10583arXivDiscussion Paper
ORCID:
AuthorORCID
Onodera, Tatsuhiro0000-0002-6912-6504
Ng, Edwin0000-0002-3695-1698
Gustin, Chris0000-0002-5384-7163
Hamerly, Ryan0000-0003-4976-2236
McMahon, Peter L.0000-0002-1177-9887
Marandi, Alireza0000-0002-0470-0050
Mabuchi, Hideo0000-0002-5156-7678
Additional Information:© 2022 American Physical Society. Received 1 January 2022; accepted 1 February 2022; published 11 March 2022. The authors wish to thank Dodd J. Gray, Marc Jankowski, Logan G. Wright, and Ryotatsu Yanagimoto for helpful discussions. The authors wish to thank NTT Research for their financial and technical support. T.O., E.N., and H.M. acknowledge funding from NSF Award No. PHY-1648807 and from ARO Award No. W911NF-16-1-0086. R.H. was supported by an IC Postdoctoral Research Fellowship at MIT, administered by ORISE through U.S. DOE and ODNI. N.L. acknowledges funding from the Swiss SNSF and the NCCR Quantum Science and Technology. A.M. acknowledges funding from ARO Award No. W911NF-18-1-0285.
Funders:
Funding AgencyGrant Number
NSFPHY-1648807
Army Research Office (ARO)W911NF-16-1-0086
Massachusetts Institute of Technology (MIT)UNSPECIFIED
Swiss National Science Foundation (SNSF)UNSPECIFIED
Army Research Office (ARO)W911NF-18-1-0285
Issue or Number:3
DOI:10.1103/PhysRevA.105.033508
Record Number:CaltechAUTHORS:20200122-134148267
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200122-134148267
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100846
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:22 Jan 2020 22:01
Last Modified:22 Mar 2022 19:01

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