Abstract
Surface plasmon polaritons (plasmons) are a combination of light and a collective oscillation of the free electron plasma at metal/dielectric interfaces1. This interaction allows subwavelength confinement of light beyond the diffraction limit inherent to dielectric structures2. As a result, the intensity of the electromagnetic field is enhanced, with the possibility to increase the strength of the optical interactions between waveguides, light sources3,4,5,6 and detectors7,8. Plasmons maintain non-classical photon statistics9,10 and preserve entanglement upon transmission through thin, patterned metallic films11,12 or weakly confining waveguides13. For quantum applications3,14, it is essential that plasmons behave as indistinguishable quantum particles. Here we report on a quantum interference experiment in a nanoscale plasmonic circuit consisting of an on-chip plasmon beamsplitter with integrated superconducting single-photon detectors15 to allow efficient single plasmon detection16. We demonstrate a quantum-mechanical interaction between pairs of indistinguishable surface plasmons by observing Hong–Ou–Mandel (HOM) interference17, a hallmark non-classical interference effect that is the basis of linear optics-based quantum computation18. Our work shows that it is feasible to shrink quantum optical experiments to the nanoscale and offers a promising route towards subwavelength quantum optical networks.
This is a preview of subscription content, access via your institution
Access options
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
Similar content being viewed by others
References
Barnes, W., Dereux, A. & Ebbesen, T. Surface plasmon subwavelength optics. Nature 424, 824–830 (2003).
Schuller, J. et al. Plasmonics for extreme light concentration and manipulation. Nature Mater. 9, 193–204 (2010).
Chang, D. E., Sørensen, A. S., Hemmer, P. R. & Lukin, M. D. Quantum optics with surface plasmons. Phys. Rev. Lett. 97, 053002 (2006).
Oulton, R. et al. Plasmon lasers at deep subwavelength scale. Nature 461, 629–632 (2009).
Schietinger, S., Barth, M., Aichele, T. & Benson, O. Plasmon-enhanced single photon emission from a nanoassembled metal–diamond hybrid structure at room temperature. Nano Lett. 9, 1694–1698 (2009).
Curto, A. G. et al. Unidirectional emission of a quantum dot coupled to a nanoantenna. Science 329, 930–933 (2010).
Neutens, P., Van Dorpe, P., De Vlaminck, I., Lagae, L. & Borghs, G. Electrical detection of confined gap plasmons in metal–insulator–metal waveguides. Nature Photon. 3, 283–286 (2009).
Falk, A. et al. Near-field electrical detection of optical plasmons and single-plasmon sources. Nature Phys. 5, 475–479 (2009).
Akimov, A. et al. Generation of single optical plasmons in metallic nanowires coupled to quantum dots. Nature 450, 402–406 (2007).
Kolesov, R. et al. Wave particle duality of single surface plasmon polaritons. Nature Phys. 5, 470–474 (2009).
Altewischer, E., Van Exter, M. & Woerdman, J. Plasmon-assisted transmission of entangled photons. Nature 418, 304–306 (2002).
Fasel, S. et al. Energy-time entanglement preservation in plasmon-assisted light transmission. Phys. Rev. Lett. 94, 110501 (2005).
Fujii, G. et al. Preservation of photon indistinguishability after transmission through surface-plasmon–polariton waveguide. Opt. Lett. 37, 1535–1537 (2012).
Chang, D., Sørensen, A., Demler, E. & Lukin, M. A single-photon transistor using nanoscale surface plasmons. Nature Phys. 3, 807–812 (2007).
Gol'tsman, G. et al. Picosecond superconducting single-photon optical detector. Appl. Phys. Lett. 79, 705 (2001).
Heeres, R. W. et al. On-chip single plasmon detection. Nano Lett. 10, 661–664 (2010).
Hong, C., Ou, Z. & Mandel, L. Measurement of subpicosecond time intervals between two photons by interference. Phys. Rev. Lett. 59, 2044–2046 (1987).
Knill, E., Laflamme, R. & Milburn, G. A scheme for efficient quantum computation with linear optics. Nature 409, 46–52 (2001).
Loudon, R. Fermion and boson beamsplitter statistics. Phys. Rev. A 58, 4904–4909 (1998).
Barnett, S. M., Jeffers, J., Gatti, A. & Loudon, R. Quantum optics of lossy beam splitters. Phys. Rev. A 57, 2134–2145 (1998).
Yamada, H., Chu, T., Ishida, S. & Arakawa, Y. Optical directional coupler based on Si-wire waveguides. IEEE Photon. Technol. Lett. 17, 585–587 (2005).
Politi, A., Cryan, M. J., Rarity, J. G., Yu, S. & O'Brien, J. L. Silica-on-silicon waveguide quantum circuits. Science 320, 646–649 (2008).
Charbonneau, R., Lahoud, N., Mattiussi, G. & Berini, P. Demonstration of integrated optics elements based on long-ranging surface plasmon polaritons. Opt. Express 13, 977–984 (2005).
Bozhevolnyi, S., Volkov, V., Devaux, E., Laluet, J. & Ebbesen, T. Channel plasmon subwavelength waveguide components including interferometers and ring resonators, Nature 440, 508–511 (2006).
Burnham, D. & Weinberg, D. Observation of simultaneity in parametric production of optical photon pairs. Phys. Rev. Lett. 25, 84–87 (1970).
Jung, J., Søndergaard, T. & Bozhevolnyi, S. I. Theoretical analysis of square surface plasmon–polariton waveguides for long-range polarization-independent waveguiding. Phys. Rev. B 76, 035434 (2007).
Lusse, P., Stuwe, P., Schule, J. & Unger, H. Analysis of vectorial mode fields in optical waveguides by a new finite difference method. J. Lightwave Technol. 12, 487–494 (1994).
Hadfield, R. Single-photon detectors for optical quantum information applications. Nature Photon. 3, 696–705 (2009).
Acknowledgements
The authors thank K. Kuipers and E. Verhagen for discussions, M. Witteveen for help with earlier measurements and R. Zia for discussions and the mode solver code. This work was supported financially by the Netherlands Organisation for Scientific Research (NWO/FOM) and the European Research Council.
Author information
Authors and Affiliations
Contributions
R.W.H. designed the experiment, fabricated the samples and performed the measurements and analysis. L.P.K. and V.Z. supervised the project. All authors contributed to the manuscript.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing financial interests.
Supplementary information
Supplementary information
Supplementary information (PDF 1342 kb)
Supplementary zip
Supplementary zip (ZIP 1755 kb)
Rights and permissions
About this article
Cite this article
Heeres, R., Kouwenhoven, L. & Zwiller, V. Quantum interference in plasmonic circuits. Nature Nanotech 8, 719–722 (2013). https://doi.org/10.1038/nnano.2013.150
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1038/nnano.2013.150
This article is cited by
-
Squeezed states generation by nonlinear plasmonic waveguides: a novel analysis including loss, phase mismatch and source depletion
Scientific Reports (2023)
-
Detection of a plasmon-polariton quantum wave packet
Nature Physics (2023)
-
Integrated quantum polariton interferometry
Communications Physics (2022)
-
Two-plasmon spontaneous emission from a nonlocal epsilon-near-zero material
Communications Physics (2021)
-
Quantum teleportation mediated by surface plasmon polariton
Scientific Reports (2020)