Skip to content
naulon

No retraction, correction or concern found when last checked on Oct 26, 2026.

Selective enhancement of topologically induced interface states in a dielectric resonator chain

Charles Poli, Matthieu Bellec, Ulrich Kuhl and 2 more

Nature Communications · 2015 · CC BY

doi:10.1038/ncomms7710

Abstract

The recent realization of topological phases in insulators and superconductors has advanced the search for robust quantum technologies. The prospect to implement the underlying topological features controllably has given incentive to explore optical platforms for analogous realizations. Here we realize a topologically induced defect state in a chain of dielectric microwave resonators and show that the functionality of the system can be enhanced by supplementing topological protection with non-hermitian symmetries that do not have an electronic counterpart. We draw on a characteristic topological feature of the defect state, namely, that it breaks a sublattice symmetry. This isolates the state from losses that respect parity-time symmetry, which enhances its visibility relative to all other states both in the frequency and in the time domain. This mode selection mechanism naturally carries over to a wide range of topological and parity-time symmetric optical platforms, including couplers, rectifiers and lasers.

Full text

Its licence does not allow us to show the full text. Read it at PubMed Central:

Read at PubMed Central

References 40

  1. 1.

    Lu L., Joannopoulos J. D. & Soljaĉić M. Topological photonics. Nat. Photon. 8, 821–829 (2014 ).

    Not in our library

  2. 2.

    Hasan M. Z. & Kane C. L. Topological insulators. Rev. Mod. Phys. 82, 3045–3067 (2010 ).

    Not in our library

  3. 3.

    Qi X.-L. & Zhang S.-C. Topological insulators and superconductors. Rev. Mod. Phys. 83, 1057–1110 (2011 ).

    Not in our library

  4. 4.

    Wang Z., Chong Y., Joannopoulos J. D. & Soljaĉić M. Observation of unidirectional backscattering-immune topological electromagnetic states. Nature 461, 772–775 (2009 ).

    Not in our library10.1038/nature08293

  5. 5.

    Fang K., Yu Z. & Fan S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photon. 6, 782–787 (2012 ).

    Not in our library

  6. 6.

    Rechtsman M. C. et al. Photonic Floquet topological insulators. Nature 496, 196–200 (2013 ).

    Not in our library10.1038/nature12066

  7. 7.

    Hafezi M., Demler E. A., Lukin M. D. & Taylor J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907–912 (2011 ).

    Not in our library

  8. 8.

    Khanikaev A. B., Mousavi S. H., Tse W.-K., Kargarin M., MacDonald A. H. & Shvets G. Photonic topological insulators. Nat. Mater. 12, 233–239 (2013 ).

    Not in our library10.1038/nmat3520

  9. 9.

    Hafezi M., Mittal S., Fan J., Migdall A. & Taylor J. M. Imaging topological edge states in silicon photonics. Nat. Photon. 7, 1001–1005 (2013 ).

    Not in our library

  10. 10.

    Malkova N., Hromada I., Wang X., Bryant G. & Chen Z. Observation of optical Shockley-like surface states in photonic superlattices. Opt. Lett. 34, 1633–1635 (2009 ).

    Not in our library10.1364/ol.34.001633

  11. 11.

    Kraus Y. E., Lahini Y., Ringel Z., Verbin M. & Zilberberg O. Topological states and adiabatic pumping in quasicrystals. Phys. Rev. Lett. 109, 106402 (2012 ).

    Not in our library10.1103/physrevlett.109.106402

  12. 12.

    Kitagawa T. et al. Observation of topologically protected bound states in photonic quantum walks. Nat. Commun. 3, 882 (2012 ).

    Not in our library10.1038/ncomms1872

  13. 13.

    Su W. P., Schrieffer J. R. & Heeger A. J. Solitons in polyacetylene. Phys. Rev. Lett. 42, 1698–1701 (1979 ).

    Not in our library

  14. 14.

    Keil R. et al. The random mass dirac model and long-range correlations on an integrated optical platform. Nat. Commun. 4, 1368 (2013 ).

    Not in our library10.1038/ncomms2384

  15. 15.

    Guo A. et al. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009 ).

    Not in our library10.1103/physrevlett.103.093902

  16. 16.

    Rüter C. E., Makris K. G., El-Ganainy R., Christodoulides D. N., Segev M. & Kip D. Observation of parity-time symmetry in optics. Nat. Phys. 6, 192–195 (2010 ).

    Not in our library

  17. 17.

    Feng L. et al. Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12, 108–113 (2013 ).

    Not in our library10.1038/nmat3495

  18. 18.

    Regensburger A., Bersch C., Miri M.-A., Onishchukov G., Christodoulides D. N. & Peschel U. Parity-time synthetic photonic lattices. Nature 488, 167–171 (2012 ).

    Not in our library10.1038/nature11298

  19. 19.

    Eichelkraut T. et al. Mobility transition from ballistic to diffusive transport in non-Hermitian lattices. Nat. Commun. 4, 2533 (2013 ).

    Not in our library10.1038/ncomms3533

  20. 20.

    Rudner M. S. & Levitov L. S. Topological transition in a non-hermitian quantum walk. Phys. Rev. Lett. 102, 065703 (2009 ).

    Not in our library10.1103/physrevlett.102.065703

  21. 21.

    Ramezani H., Christodoulides D. N., Kovanis V., Vitebskiy I. & Kottos T. PT-symmetric Talbot effect. Phys. Rev. Lett. 109, 033902 (2012 ).

    Not in our library10.1103/physrevlett.109.033902

  22. 22.

    Feng L., Wong Z. J., Ma R.-M., Wang Y. & Zhang X. Single-mode laser by parity-time symmetry breaking. Science 346, 972–975 (2014 ).

    Not in our library10.1126/science.1258479

  23. 23.

    Hodaei H., Miri M.-A., Heinrich M., Christodoulides D. N. & Khajavikhan M. Parity-time-symmetric microring lasers. Science 346, 975–978 (2014 ).

    Not in our library10.1126/science.1258480

  24. 24.

    Chong Y. D., Ge L. & Stone A. D. PT-symmetry breaking and laser-absorber modes in optical scattering systems. Phys. Rev. Lett. 106, 093902 (2011 ).

    Not in our library10.1103/physrevlett.106.093902

  25. 25.

    Schomerus H. Quantum noise and self-sustained radiation of PT-symmetric systems. Phys. Rev. Lett. 104, 233601 (2010 ).

    Not in our library10.1103/physrevlett.104.233601

  26. 26.

    Longhi S. PT-symmetric laser absorber. Phys. Rev. A 82, 031801(R) (2010 ).

    Not in our library

  27. 27.

    Bellec M., Kuhl U., Montambaux G. & Mortessagne F. Tight-binding couplings in microwave artificial graphene. Phys. Rev. B 88, 115437 (2013 ).

    Not in our library

  28. 28.

    Laurent D., Legrand O., Sebbah P., Vanneste C. & Mortessagne F. Localized modes in a finite-size open disordered microwave cavity. Phys. Rev. Lett. 99, 253902 (2007 ).

    Not in our library10.1103/physrevlett.99.253902

  29. 29.

    Bellec M., Kuhl U., Montambaux G. & Mortessagne F. Topological transition of Dirac points in a microwave experiment. Phys. Rev. Lett. 110, 033902 (2013 ).

    Not in our library10.1103/physrevlett.110.033902

  30. 30.

    Franco-Villafañe J. A., Sadurn E., Barkhofen S., Kuhl U., Mortessagne F. & Seligman T. H. First experimental realization of the Dirac oscillator. Phys. Rev. Lett. 111, 170405 (2013 ).

    Not in our library10.1103/physrevlett.111.170405

  31. 31.

    Ryu S. & Hatsugai Y. Topological origin of zero-energy edge states in particle-hole symmetric systems. Phys. Rev. Lett. 89, 077002 (2002 ).

    Not in our library10.1103/physrevlett.89.077002

  32. 32.

    Schomerus H. Topologically protected midgap states in complex photonic lattices. Opt. Lett. 38, 1912–1914 (2013 ).

    Not in our library10.1364/ol.38.001912

  33. 33.

    Jackiw R. Fractional charge and zero modes for planar systems in a magnetic field. Phys. Rev. D 29, 2375–2377 (1984 ).

    Not in our library10.1103/physrevd.33.2500

  34. 34.

    Guinea F., Katsnelson M. I. & Geim A. K. Energy gaps and a zero-field quantum Hall effect in graphene by strain engineering. Nat. Phys. 6, 30–33 (2009 ).

    Not in our library

  35. 35.

    Rechtsman M. C., Zeuner J. M., Tünnermann A., Nolte S., Segev M. & Szameit A. Strain-induced pseudomagnetic field and photonic Landau levels in dielectric structures. Nat. Photon. 7, 153–158 (2013 ).

    Not in our library

  36. 36.

    Schomerus H. & Halpern N. Y. Parity anomaly and Landau-level lasing in strained photonic honeycomb lattices. Phys. Rev. Lett. 110, 013903 (2013 ).

    Not in our library10.1103/physrevlett.110.013903

  37. 37.

    Atala M. et al. Direct measurement of the Zak phase in topological Bloch bands. Nat. Phys. 9, 795–800 (2013 ).

    Not in our library

  38. 38.

    Ruostekoski J., Dunne G. V. & Javanainen J. Particle number fractionilization of an atomic Fermi-Dirac gas in an optical lattice. Phys. Rev. Lett. 88, 180401 (2002 ).

    Not in our library10.1103/physrevlett.88.180401

  39. 39.

    Barnett R. Edge-state instabilities of bosons in a topological band. Phys. Rev. A 88, 063631 (2013 ).

    Not in our library

  40. 40.

    Walker P. M. et al. Exciton polaritons in semiconductor waveguides. Appl. Phys. Lett. 102, 012109 (2013 ).

    Not in our library

Cited by papers we hold 1

Reads

Read by people on this page

None yet.

Checked or read by AI through naulon

None yet.

A person counts once a day per paper. We keep no cookie and no address: a reader is a hash that changes every day. Any month under five reads shows no number.

Are you an author?

Is this your paper?

Claim it to add your note and be paid when agents cite it. Free.