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Realizing spin-Hamiltonians in nanoscale active photonic lattices

Parto, Midya and Hayenga, William and Marandi, Alireza and Christodoulides, Demetrios N. and Khajavikhan, Mercedeh (2020) Realizing spin-Hamiltonians in nanoscale active photonic lattices. Nature Materials, 19 (7). pp. 725-731. ISSN 1476-1122. https://resolver.caltech.edu/CaltechAUTHORS:20200121-134357390

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Abstract

Spin models arise in the microscopic description of magnetic materials and have been recently used to map certain classes of optimization problems involving large degrees of freedom. In this regard, various optical implementations of such Hamiltonians have been demonstrated to quickly converge to the global minimum in the energy landscape. Yet, so far, an integrated nanophotonic platform capable of emulating complex magnetic materials is still missing. Here, we show that the cooperative interplay among vectorial electromagnetic modes in coupled metallic nanolasers can be utilized to implement certain types of spin Hamiltonians. Depending on the topology/geometry of the arrays, these structures can be governed by a classical XY Hamiltonian that exhibits ferromagnetic and antiferromagnetic couplings, as well as geometrical frustration. Our results pave the way towards a scalable nanophotonic platform to study spin exchange interactions and could address a variety of optimization problems.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1038/s41563-020-0635-6DOIArticle
https://rdcu.be/b3i9CPublisherFree ReadCube access
https://arxiv.org/abs/1912.12075arXivDiscussion Paper
https://resolver.caltech.edu/CaltechAUTHORS:20200925-102049105Related ItemConference Paper
ORCID:
AuthorORCID
Marandi, Alireza0000-0002-0470-0050
Christodoulides, Demetrios N.0000-0003-3630-7234
Khajavikhan, Mercedeh0000-0002-7091-1470
Additional Information:© 2020 The Author(s), under exclusive licence to Springer Nature Limited. Received 26 January 2019; Accepted 07 February 2020; Published 16 March 2020. We gratefully acknowledge the financial support from DARPA (D18AP00058, HR00111820042, HR00111820038), Army Research Office (ARO; W911NF-16-1-0013, W911NF-17-1-0481, W911NF-18-1-0285), National Science Foundation (ECCS 1454531, DMR 1420620, ECCS 1757025, CBET 1805200, ECCS 2000538, ECCS 2011171, 1846273), Office of Naval Research (N0001416-1-2640, N00014-18-1-2347, N00014-19-1-2052), Air Force Office of Scientific Research (FA9550-14-1-0037) and US–Israel Binational Science Foundation (BSF; 2016381). Data availability: The datasets used to generate Fig. 1 and Supplementary Figs. 5, 6 and 10 have been uploaded to FigShare39,40. The other datasets generated and/or analysed during the current study are available from the corresponding author on reasonable request. Code availability: The codes associated with this manuscript are available from the corresponding author on reasonable request. Author Contributions: M.P., D.N.C. and M.K. conceived the idea. M.P. performed the theoretical and analytical modellings. W.H. fabricated the samples and designed the experiments. W.H. and M.P. characterized the samples. M.P., D.N.C., A.M. and M.K. analysed the results. All authors contributed to writing the manuscript. M.K. supervised the project. The authors declare no competing interests.
Funders:
Funding AgencyGrant Number
Defense Advanced Research Projects Agency (DARPA)D18AP00058
Defense Advanced Research Projects Agency (DARPA)HR00111820042
Defense Advanced Research Projects Agency (DARPA)HR00111820038
Army Research Office (ARO)W911NF-16-1-0013
Army Research Office (ARO)W911NF-17-1-0481
Army Research Office (ARO)W911NF-18-1-0285
NSFECCS-1454531
NSFDMR-1420620
NSFECCS-1757025
NSFCBET-1805200
NSFECCS-2000538
NSFECCS-2011171
NSFECCS-1846273
Office of Naval Research (ONR)N0001416-1-2640
Office of Naval Research (ONR)N00014-18-1-2347
Office of Naval Research (ONR)N00014-19-1-2052
Air Force Office of Scientific Research (AFOSR)FA9550-14-1-0037
Binational Science Foundation (USA-Israel)2016381
Subject Keywords:Information theory and computation; Mathematics and computing; Nanophotonics and plasmonics; Nonlinear optics
Issue or Number:7
Record Number:CaltechAUTHORS:20200121-134357390
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200121-134357390
Official Citation:Parto, M., Hayenga, W., Marandi, A. et al. Realizing spin Hamiltonians in nanoscale active photonic lattices. Nat. Mater. 19, 725–731 (2020). https://doi.org/10.1038/s41563-020-0635-6
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:100819
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:21 Jan 2020 22:20
Last Modified:25 Sep 2020 17:25

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