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Nonreciprocity in synthetic photonic materials with nonlinearity

  • Materials for Nonreciprocal Photonics
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Abstract

Synthetic photonic materials created by engineering the profile of refractive index or gain/loss distribution, such as negative-index metamaterials or parity-time-symmetric structures, can exhibit electric and magnetic properties that cannot be found in natural materials, allowing for photonic devices with unprecedented functionalities. In this article, we discuss two directions along this line—non-Hermitian photonics and topological photonics—and their applications in nonreciprocal light transport when nonlinearities are introduced. Both types of synthetic structures have been demonstrated in systems involving judicious arrangement of optical elements, such as optical waveguides and resonators. They can exhibit a transition between different phases by adjusting certain parameters, such as the distribution of refractive index, loss, or gain. The unique features of such synthetic structures help realize nonreciprocal optical devices with high contrast, low operation threshold, and broad bandwidth. They provide promising opportunities to realize nonreciprocal structures for wave transport.

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References

  1. M. Soljaˇcic´, C. Luo, J.D. Joannopoulos, S. Fan, Opt. Lett. 28, 637 (2003).

    Google Scholar 

  2. L. Fan, J. Wang, L.T. Varghese, H. Shen, B. Niu, Y. Xuan, A.M. Weiner, M. Qi, Science 335, 447 (2012).

    Google Scholar 

  3. L. Fan, L.T. Varghese, J. Wang, Y. Xuan, A.M. Weiner, M. Qi, Opt. Lett. 38, 1259 (2013).

    Google Scholar 

  4. S.V. Suchkov, A.A. Sukhorukov, J. Huang, S.V. Dmitriev, C. Lee, Y.S. Kivshar, Laser Photon. Rev. 10, 177 (2016).

    Google Scholar 

  5. V.V. Konotop, J. Yang, D.A. Zezyulin, Rev. Mod. Phys. 88, 35002 (2016).

    Google Scholar 

  6. L. Feng, R. El-Ganainy, L. Ge, Nat. Photonics 11, 752 (2017).

    Google Scholar 

  7. R. El-Ganainy, K.G. Makris, M. Khajavikhan, Z.H. Musslimani, S. Rotter, D.N. Christodoulides, Nat. Phys. 14, 11 (2018).

    Google Scholar 

  8. L. Lu, J.D. Joannopoulos, M. Soljaˇcic´, Nat. Photonics 8, 821 (2014).

    Google Scholar 

  9. A.B. Khanikaev, G. Shvets, Nat. Photonics 11, 763 (2017).

    Google Scholar 

  10. Y. Wu, C. Li, X. Hu, Y. Ao, Y. Zhao, Q. Gong, Adv. Opt. Mater. 5, 1700357 (2017).

    Google Scholar 

  11. T. Ozawa, H.M. Price, A. Amo, N. Goldman, M. Hafezi, L. Lu, M.C. Rechtsman, D. Schuster, J. Simon, O. Zilberberg, I. Carusotto, Phys. Opt. (2018), https://arxiv.org/abs/1802.04173/abs/1802.04173.

  12. D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baets, M. Popovic´, A. Melloni, J.D. Joannopoulos, M. Vanwolleghem, C.R. Doerr, H. Renner, Nat. Photonics 7, 579 (2013).

    Google Scholar 

  13. C. Bender, Rep. Prog. Phys. 70, 947 (2007).

    Google Scholar 

  14. T. Kato, Perturbation Theory for Linear Operators (Springer, New York, 1995).

    Google Scholar 

  15. L. Feng, Y.L. Xu, W.S. Fegadolli, M.H. Lu, J.E.B. Oliveira, V.R. Almeida, Y.F. Chen, A. Scherer, Nat. Mater. 12, 108 (2012).

    Google Scholar 

  16. A. Regensburger, C. Bersch, M.A. Miri, G. Onishchukov, D.N. Christodoulides, U. Peschel, Nature 488, 167 (2012).

    Google Scholar 

  17. B. Peng, S.K. Ozdemir, F. Lei, F. Monifi, M. Gianfreda, G.L. Long, S. Fan, F. Nori, C.M. Bender, L. Yang, Nat. Phys. 10, 394 (2014).

    Google Scholar 

  18. L. Chang, X. Jiang, S. Hua, C. Yang, J. Wen, L. Jiang, G. Li, G. Wang, M. Xiao, Nat. Photonics 8, 524 (2014).

    Google Scholar 

  19. H. Hodaei, M.-A. Miri, M. Heinrich, D.N. Christodoulides, M. Khajavikhan, Science 346, 975 (2014).

    Google Scholar 

  20. L. Feng, Z.J. Wong, R.-M. Ma, Y. Wang, X. Zhang, Science 346, 972 (2014).

    Google Scholar 

  21. B. Peng, S.K. Ozdemir, S. Rotter, H. Yilmaz, M. Liertzer, F. Monifi, C.M. Bender, F. Nori, L. Yang, Science 346, 328 (2014).

    Google Scholar 

  22. M. Brandstetter, M. Liertzer, C. Deutsch, P. Klang, J. Schöberl, H.E. Türeci, G. Strasser, K. Unterrainer, S. Rotter, Nat. Commun. 5, 4034 (2014).

    Google Scholar 

  23. Z.J. Wong, Y.L. Xu, J. Kim, K. O’Brien, Y. Wang, L. Feng, X. Zhang, Nat. Photonics 10, 796 (2016).

    Google Scholar 

  24. B. Peng, S.K. Ozdemir, M. Liertzer, W. Chen, J. Kramer, H. Yilmaz, J. Wiersig, S. Rotter, L. Yang, Proc. Natl. Acad. Sci. U.S.A. 113, 6845 (2016).

    Google Scholar 

  25. J. Wiersig, Phys. Rev. Lett. 112, 203901 (2014).

    Google Scholar 

  26. J. Wiersig, Phys. Rev. A 93, 33809 (2016).

    Google Scholar 

  27. Z.P. Liu, J. Zhang, S.K. Ozdemir, B. Peng, H. Jing, X.Y. Lü, C.W. Li, L. Yang, F. Nori, Y.X. Liu, Phys. Rev. Lett. 117, 110802 (2016).

    Google Scholar 

  28. W. Chen, S.K. Ozdemir, G. Zhao, J. Wiersig, L. Yang, Nature 548, 192 (2017).

    Google Scholar 

  29. H. Hodaei, A.U. Hassan, S. Wittek, H. Garcia-Gracia, R. El-Ganainy, D.N. Christodoulides, M. Khajavikhan, Nature 548, 187 (2017).

    Google Scholar 

  30. H. Jing, S.K. Ozdemir, X.Y. Lü, J. Zhang, L. Yang, F. Nori, Phys. Rev. Lett. 113, 53604 (2014).

    Google Scholar 

  31. H. Xu, D. Mason, L. Jiang, J.G.E. Harris, Nature 537, 80 (2016).

    Google Scholar 

  32. C.M. Bender, S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998).

    Google Scholar 

  33. C.M. Bender, Contemp. Phys. 46, 277 (2005).

    Google Scholar 

  34. R. El-Ganainy, K.G. Makris, D.N. Christodoulides, Z.H. Musslimani, Opt. Lett. 32, 2632 (2007).

    Google Scholar 

  35. A. Guo, G.J. Salamo, D. Duchesne, R. Morandotti, M. Volatier-Ravat, V. Aimez, G.A. Siviloglou, D.N. Christodoulides, Phys. Rev. Lett. 103, 093902 (2009).

    Google Scholar 

  36. C.E. Rüter, K.G. Makris, R. El-Ganainy, D.N. Christodoulides, M. Segev, D. Kip, Nat. Phys. 6, 192 (2010).

    Google Scholar 

  37. H. Ramezani, T. Kottos, R. El-Ganainy, D.N. Christodoulides, Phys. Rev. A 82, 43803 (2010).

    Google Scholar 

  38. X. Zhou, Y.D. Chong, Opt. Express 24, 6916 (2016).

    Google Scholar 

  39. W.D. Heiss, J. Phys. A Math. Theor. 45, 444016 (2012).

    Google Scholar 

  40. C. Dembowski, H.D. Gräf, H.L. Harney, A. Heine, W.D. Heiss, H. Rehfeld, A. Richter, Phys. Rev. Lett. 86, 787 (2001).

    Google Scholar 

  41. T. Gao, E. Estrecho, K.Y. Bliokh, T.C.H. Liew, M.D. Fraser, S. Brodbeck, M. Kamp, C. Schneider, S. Höfling, Y. Yamamoto, F. Nori, Y.S. Kivshar, A.G. Truscott, R.G. Dall, E.A. Ostrovskaya, Nature 526, 554 (2015).

    Google Scholar 

  42. C. Hahn, Y. Choi, J.W. Yoon, S.H. Song, C.H. Oh, P. Berini, Nat. Commun. 7, 12201 (2016).

    Google Scholar 

  43. R. Uzdin, A. Mailybaev, N. Moiseyev, J. Phys. A Math. Theor. 44, 435302 (2011).

    Google Scholar 

  44. D.L. Sounas, A. Alù, Nat. Photonics 11, 774 (2017).

    Google Scholar 

  45. J. Doppler, A.A. Mailybaev, J. Böhm, U. Kuhl, A. Girschik, F. Libisch, T.J. Milburn, P. Rabl, N. Moiseyev, S. Rotter, Nature 537, 76 (2016).

    Google Scholar 

  46. S.N. Ghosh, Y.D. Chong, Sci. Rep. 6, 19837 (2016).

    Google Scholar 

  47. Y. Choi, C. Hahn, J.W. Yoon, S.H. Song, P. Berini, Nat. Commun. 8, 14154 (2017).

    Google Scholar 

  48. J.D. Joannopoulos, S.G. Johnson, J.N. Winn, R. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University Press, Princeton, NJ, 2011).

  49. F.D.M. Haldane, S. Raghu, Phys. Rev. Lett. 100, 013904 (2008).

    Google Scholar 

  50. S. Raghu, F.D.M. Haldane, Phys. Rev. A At. Mol. Opt. Phys. 78, 033834 (2008).

    Google Scholar 

  51. B.A. Bernevig, T.L. Hughes, Topological Insulators and Topological Superconductors (Princeton University Press, Princeton, NJ, 2013).

    Google Scholar 

  52. M. Aidelsburger, M. Atala, M. Lohse, J.T. Barreiro, B. Paredes, I. Bloch, Phys. Rev. Lett. 111, 185301 (2013).

    Google Scholar 

  53. Z. Yang, F. Gao, X. Shi, X. Lin, Z. Gao, Y. Chong, B. Zhang, Phys. Rev. Lett. 114, 114301 (2015).

    Google Scholar 

  54. C. He, X. Ni, H. Ge, X.-C. Sun, Y.-B. Chen, M.-H. Lu, X.-P. Liu, Y.-F. Chen, Nat. Phys. 12, 1124 (2016).

    Google Scholar 

  55. S.D. Huber, Nat. Phys. 12, 621 (2016).

    Google Scholar 

  56. Z. Wang, Y. Chong, J.D. Joannopoulos, M. Soljaˇcic´, Phys. Rev. Lett. 100, 013905 (2008).

    Google Scholar 

  57. Z. Wang, Y. Chong, J.D. Joannopoulos, M. Soljaˇcic´, Nature 461, 772 (2009).

    Google Scholar 

  58. M. Hafezi, E.A. Demler, M.D. Lukin, J.M. Taylor, Nat. Phys. 7, 907 (2011).

    Google Scholar 

  59. M.C. Rechtsman, J.M. Zeuner, Y. Plotnik, Y. Lumer, D. Podolsky, F. Dreisow, S. Nolte, M. Segev, A. Szameit, Nature 496, 196 (2013).

    Google Scholar 

  60. M. Hafezi, S. Mittal, J. Fan, A. Migdall, J.M. Taylor, Nat. Photonics 7, 1001 (2013).

    Google Scholar 

  61. S. Mittal, J. Fan, S. Faez, A. Migdall, J.M. Taylor, M. Hafezi, Phys. Rev. Lett. 113, 087403 (2014).

    Google Scholar 

  62. A. Szameit, S. Nolte, J. Phys. B At. Mol. Opt. Phys. 43, 163001 (2010).

    Google Scholar 

  63. Y.E. Kraus, Y. Lahini, Z. Ringel, M. Verbin, O. Zilberberg, Phys. Rev. Lett. 109, 106402 (2012).

    Google Scholar 

  64. M. Verbin, O. Zilberberg, Y. Lahini, Y.E. Kraus, Y. Silberberg, Phys. Rev. B Condens. Matter 91, 064201 (2015).

    Google Scholar 

  65. L.J. Maczewsky, J.M. Zeuner, S. Nolte, A. Szameit, Nat. Commun. 8, 13756 (2017).

    Google Scholar 

  66. J. Noh, S. Huang, D. Leykam, Y.D. Chong, K. Chen, M.C. Rechtsman, Nat. Phys. 13, 611 (2017).

    Google Scholar 

  67. O. Zilberberg, S. Huang, J. Guglielmon, M. Wang, K.P. Chen, Y.E. Kraus, M.C. Rechtsman, Nature 553, 59 (2018).

    Google Scholar 

  68. W.P. Su, J.R. Schrieffer, A.J. Heeger, Phys. Rev. B Condens. Matter 22, 2099 (1980).

    Google Scholar 

  69. R. El-Ganainy, M. Levy, Opt. Lett. 40, 5275 (2015).

    Google Scholar 

  70. Y. Hadad, A.B. Khanikaev, A. Alu, Phys. Rev. B Condens. Matter 93, 155112 (2016).

    Google Scholar 

  71. Y. Hadad, V. Vitelli, A. Alu, ACS Photonics 4, 1974 (2017).

    Google Scholar 

  72. D. Leykam, M.C. Rechtsman, Y.D. Chong, Phys. Rev. Lett. 117, 013902 (2016).

    Google Scholar 

  73. Y. Lumer, Y. Plotnik, M.C. Rechtsman, M. Segev, Phys. Rev. Lett. 111, 243905 (2013).

    Google Scholar 

  74. M.J. Ablowitz, C.W. Curtis, Y.-P. Ma, Phys. Rev. A At. Mol. Opt. Phys. 90, 023813 (2014).

    Google Scholar 

  75. D. Leykam, Y.D. Chong, Phys. Rev. Lett. 117, 143901 (2016).

    Google Scholar 

  76. X. Zhou, Y. Wang, D. Leykam, Y.D. Chong, New J. Phys. 19, 095002 (2017).

    Google Scholar 

  77. S. Kruk, A. Slobozhanyuk, D. Denkova, A. Poddubny, I. Kravchenko, A. Miroshnichenko, D. Neshev, Y. Kivshar, Small 13, 1603190 (2017).

    Google Scholar 

  78. P. St-Jean, V. Goblot, E. Galopin, A. Lemaître, T. Ozawa, L. Le Gratiet, I. Sagnes, J. Bloch, A. Amo, Nat. Photonics 11, 651 (2017).

    Google Scholar 

  79. H. Zhao, P. Miao, M.H. Teimourpour, S. Malzard, R. El-Ganainy, H. Schomerus, L. Feng, Nat. Commun. 9, 981 (2018).

    Google Scholar 

  80. M. Parto, S. Wittek, H. Hodaei, G. Harari, M.A. Bandres, J. Ren, M.C. Rechtsman, M. Segev, D.N. Christodoulides, M. Khajavikhan, Phys. Rev. Lett. 120, 113901 (2018).

    Google Scholar 

  81. G.Q. Liang, Y.D. Chong, Phys. Rev. Lett. 110, 203904 (2013).

    Google Scholar 

  82. M. Pasek, Y.D. Chong, Phys. Rev. B Condens. Matter 89, 075113 (2014).

    Google Scholar 

  83. D. Leykam, S. Mittal, M. Hafezi, Y.D. Chong, Phys. Opt. (2018), https://arxiv.org/abs/1802.02253/abs/1802.02253.

  84. C.E. Bardyn, T. Karzig, G. Refael, T.C.H. Liew, Phys. Rev. B Condens. Matter 93, 020502(R) (2016).

    Google Scholar 

  85. H. Sigurdsson, G. Li, T.C.H. Liew, Phys. Rev. B Condens. Matter 96, 115453 (2017).

    Google Scholar 

  86. V. Peano, M. Houde, C. Brendel, F. Marquardt, A.A. Clerk, Nat. Commun. 7, 10779 (2016).

    Google Scholar 

  87. V. Peano, M. Houde, F. Marquardt, A.A. Clerk, Phys. Rev. X 6, 041026 (2016).

    Google Scholar 

  88. L.-H. Wu, X. Hu, Phys. Rev. Lett. 114, 223901 (2015).

    Google Scholar 

  89. J. Noh, S. Huang, K.P. Chen, M.C. Rechtsman, Phys. Rev. Lett. 120, 063902 (2018).

    Google Scholar 

  90. S. Barik, A. Karasahin, C. Flower, T. Cai, H. Miyake, W. DeGottardi, M. Hafezi, E. Waks, Science 359, 666 (2018).

    Google Scholar 

  91. M.I. Shalaev, W. Walasik, A. Tsukernik, Y. Xu, N.M. Litchinitser, Phys. Opt. (2017), https://arxiv.org/abs/1712.07284v2/abs/1712.07284v2.

  92. Y. Xu, A.E. Miroshnichenko, Phys. Rev. B Condens. Matter 89, 134306 (2014).

    Google Scholar 

  93. Y. Yu, Y. Chen, H. Hu, W. Xue, K. Yvind, J. Mork, Laser Photon. Rev. 9, 241 (2015).

    Google Scholar 

  94. Y.V. Kartashov, D.V. Skryabin, Phys. Rev. Lett. 119, 253904 (2017).

    Google Scholar 

  95. D.D. Solnyshkov, O. Bleu, G. Malpuech, App. Phys. Lett. 112, 031106 (2018).

    Google Scholar 

  96. J.M. Zeuner, M.C. Rechtsman, Y. Plotnik, Y. Lumer, S. Nolte, M.S. Rudner, M. Segev, A. Szameit, Phys. Rev. Lett. 115, 040402 (2015).

    Google Scholar 

  97. U. Kuhl, F. Mortessagne, E. Makri, I. Vitebskiy, T. Kottos, Phys. Rev. B Condens. Matter 95, 121409(R) (2017).

    Google Scholar 

  98. L. Xiao, X. Zhan, Z.H. Bian, K.K. Wang, X. Zhang, X.P. Wang, J. Li, K. Mochizuki, D. Kim, N. Kawakami, W. Yi, H. Obuse, B.C. Sanders, P. Xue, Nat. Phys. 13, 1117 (2017).

    Google Scholar 

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Chen, W., Leykam, D., Chong, Y.D. et al. Nonreciprocity in synthetic photonic materials with nonlinearity. MRS Bulletin 43, 443–451 (2018). https://doi.org/10.1557/mrs.2018.124

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