Abstract
Parity–time reversal symmetry (PT symmetry) in non-Hermitian systems realizes spontaneous symmetry breaking, thereby leading to counterintuitive phenomena. A coupled system with antisymmetric gain/loss profiles is required to introduce PT symmetry into photonics. As photons are intrinsically non-interactive, selection of two-photonic components is inevitable to mediate indirect coupling via near-fields. Remarkably, exciton–polaritons (the hybrid nature of excitons and photons) are directly interactive via excitonic components; however, the features of direct coupling between exciton–polariton modes have not been investigated so far. Here we demonstrate that such direct coupling can remodel conventional photonic platforms of non-Hermitian systems into polaritonic platforms with a single component; thus improving the degrees of freedom of both integration and design for the coupled system. We focused on the sixfold-symmetric microcavity to exploit degenerated photonic modes. By employing direct coupling with loss modulation, we observed room-temperature polaritonic PT symmetry with a phase transition from unbroken to broken, revealing the lowest threshold of polariton condensates in non-Hermitian degeneracies despite increasing loss.
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The data that support the plots within this paper and other findings of this study are available from the corresponding author on reasonable request.
References
Livio, M. Physics: why symmetry matters. Nature 490, 472–473 (2012).
Peng, B. et al. Loss-induced suppression and revival of lasing. Science 346, 328–332 (2014).
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).
Hodaei, H., Miri, M.-A., Heinrich, M., Christodoulides, D. N. & Khajavikhan, M. Parity-time–symmetric microring lasers. Science 346, 975–978 (2014).
Miao, P. et al. Orbital angular momentum microlaser. Science 353, 464–467 (2016).
Peng, B. et al. Chiral modes and directional lasing at exceptional points. Proc. Natl Acad. Sci. USA 113, 6845–6850 (2016).
Lin, Z. et al. Unidirectional invisibility induced by PT-symmetric periodic structures. Phys. Rev. Lett. 106, 213901 (2011).
Feng, L. et al. Experimental demonstration of a unidirectional reflectionless parity-time metamaterial at optical frequencies. Nat. Mater. 12, 108–113 (2013).
Peng, B. et al. Parity–time-symmetric whispering-gallery microcavities. Nat. Phys. 10, 394–398 (2014).
Chang, L. et al. Parity–time symmetry and variable optical isolation in active–passive-coupled microresonators. Nat. Photon. 8, 524–529 (2014).
Yoon, J. W. et al. Time-asymmetric loop around an exceptional point over the full optical communications band. Nature 562, 86–90 (2018).
Guo, A. et al. Observation of PT-symmetry breaking in complex optical potentials. Phys. Rev. Lett. 103, 093902 (2009).
Rüter, C. E. et al. Observation of parity–time symmetry in optics. Nat. Phys. 6, 192–195 (2010).
Benisty, H. et al. Implementation of PT symmetric devices using plasmonics: principle and applications. Opt. Exp. 19, 18004–18019 (2011).
Alaeian, H. & Dionne, J. A. Parity-time-symmetric plasmonic metamaterials. Phys. Rev. A 89, 033829 (2014).
Fleury, R., Sounas, D. L. & Alu, A. Negative refraction and planar focusing based on parity-time symmetric metasurfaces. Phys. Rev. Lett. 113, 023903 (2014).
Sun, Y., Tan, W., Li, H.-q, Li, J. & Chen, H. Experimental demonstration of a coherent perfect absorber with PT phase transition. Phys. Rev. Lett. 112, 143903 (2014).
Zhen, B. et al. Spawning rings of exceptional points out of Dirac cones. Nature 525, 354–358 (2015).
Cerjan, A., Raman, A. & Fan, S. Exceptional contours and band structure design in parity-time symmetric photonic crystals. Phys. Rev. Lett. 116, 203902 (2016).
Kim, K. H. et al. Direct observation of exceptional points in coupled photonic-crystal lasers with asymmetric optical gains. Nat. Commun. 7, 13893 (2016).
Makris, K. G., El-Ganainy, R., Christodoulides, D. & Musslimani, Z. H. Beam dynamics in PT symmetric optical lattices. Phys. Rev. Lett. 100, 103904 (2008).
Hodaei, H. et al. Enhanced sensitivity at higher-order exceptional points. Nature 548, 187–191 (2017).
Kasprzak, J. et al. Bose–Einstein condensation of exciton polaritons. Nature 443, 409–414 (2006).
Deng, H., Weihs, G., Santori, C., Bloch, J. & Yamamoto, Y. Condensation of semiconductor microcavity exciton polaritons. Science 298, 199–202 (2002).
Gao, T. et al. Observation of non-Hermitian degeneracies in a chaotic exciton–polariton billiard. Nature 526, 554–558 (2015).
Gao, T. et al. Chiral modes at exceptional points in exciton–polariton quantum fluids. Phys. Rev. Lett. 120, 065301 (2018).
Deng, H., Haug, H. & Yamamoto, Y. Exciton–polariton Bose–Einstein condensation. Rev. Mod. Phys. 82, 1489–1537 (2010).
Guillet, T. & Brimont, C. Polariton condensates at room temperature. C. R. Phys. 17, 946–956 (2016).
Song, H. G. et al. Tailoring the potential landscape of room-temperature single-mode whispering gallery polariton condensate. Optica 6, 1313–1320 (2019).
Dhruv, S. et al. Mode profiling of semiconductor nanowire lasers. Nano Lett. 15, 5342–5348 (2015).
Acknowledgements
We thank LG Innotek for providing the wire samples. This work was supported by the National Research Foundation (grant nos. 2019R1A2B5B03070642 and 2020M3E4A1080112) of the Korean government, and the Samsung Science and Technology Foundation under project no. SSTF-BA1602-05.
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Y.-H.C. and H.G.S. initiated the study and designed all experiments. K.Y.W. and M.C. fabricated the engineered substrate. H.G.S. and Y.-H.C. performed optical characterizations and numerical simulations. H.G.S. and C.H.P. analysed and interpreted the experimental data. Y.-H.C. conceived and supervised this project. H.G.S and Y.-H.C wrote the manuscript, supported by all co-authors.
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Peer review information Nature Photonics thanks Zheng Sun and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.
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Supplementary Figs. 1–7, Table 1 and Discussion.
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Song, H.G., Choi, M., Woo, K.Y. et al. Room-temperature polaritonic non-Hermitian system with single microcavity. Nat. Photon. 15, 582–587 (2021). https://doi.org/10.1038/s41566-021-00820-z
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DOI: https://doi.org/10.1038/s41566-021-00820-z
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