Journal ArticleDOI
Topologically protected bound states in photonic parity–time-symmetric crystals
Steffen Weimann,Mark Kremer,Yonatan Plotnik,Yaakov Lumer,Stefan Nolte,Konstantinos G. Makris,Mordechai Segev,Mikael C. Rechtsman,Alexander Szameit +8 more
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TLDR
This work shows theoretically and experimentally the existence of states that are localized at the interface between two topologically distinct PT-symmetric photonic lattices, and finds analytical closed form solutions of topological PT-Symmetric interface states.Abstract:
Parity-time (PT)-symmetric crystals are a class of non-Hermitian systems that allow, for example, the existence of modes with real propagation constants, for self-orthogonality of propagating modes, and for uni-directional invisibility at defects. Photonic PT-symmetric systems that also support topological states could be useful for shaping and routing light waves. However, it is currently debated whether topological interface states can exist at all in PT-symmetric systems. Here, we show theoretically and demonstrate experimentally the existence of such states: states that are localized at the interface between two topologically distinct PT-symmetric photonic lattices. We find analytical closed form solutions of topological PT-symmetric interface states, and observe them through fluorescence microscopy in a passive PT-symmetric dimerized photonic lattice. Our results are relevant towards approaches to localize light on the interface between non-Hermitian crystals.read more
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Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.
Journal ArticleDOI
Non-Hermitian physics and PT symmetry
Ramy El-Ganainy,Konstantinos G. Makris,Mercedeh Khajavikhan,Ziad H. Musslimani,Stefan Rotter,Demetrios N. Christodoulides +5 more
TL;DR: In this paper, the interplay between parity-time symmetry and non-Hermitian physics in optics, plasmonics and optomechanics has been explored both theoretically and experimentally.
Journal ArticleDOI
Edge States and Topological Invariants of Non-Hermitian Systems.
Shunyu Yao,Zhong Wang +1 more
TL;DR: This work obtains the phase diagram of the non-Hermitian Su-Schrieffer-Heeger model, whose topological zero modes are determined by theNon-Bloch winding number instead of the Bloch-Hamiltonian-based topological number.
Journal ArticleDOI
Enhanced sensitivity at higher-order exceptional points
Hossein Hodaei,Absar U. Hassan,Steffen Wittek,Hipolito Garcia-Gracia,Ramy El-Ganainy,Demetrios N. Christodoulides,Mercedeh Khajavikhan +6 more
TL;DR: Higher-order exceptional points are observed in a coupled cavity arrangement—specifically, a ternary, parity–time-symmetric photonic laser molecule—with a carefully tailored gain–loss distribution and it is found that the frequency response follows a cube-root dependence on induced perturbations in the refractive index.
Journal ArticleDOI
Fano resonances in photonics
Mikhail F. Limonov,Mikhail F. Limonov,Mikhail V. Rybin,Mikhail V. Rybin,Alexander N. Poddubny,Alexander N. Poddubny,Yuri S. Kivshar,Yuri S. Kivshar +7 more
TL;DR: In this article, a broad range of resonant electromagnetic effects by using two effective coupled oscillators, including the Fano resonance, electromagnetically induced transparency, Kerker and Borrmann effects, and parity-time symmetry breaking, are reviewed.
References
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TL;DR: In this paper, the theoretical foundation for topological insulators and superconductors is reviewed and recent experiments are described in which the signatures of topologically insulators have been observed.
Journal ArticleDOI
Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
TL;DR: The condition of self-adjointness as discussed by the authors ensures that the eigenvalues of a Hamiltonian are real and bounded below, replacing this condition by the weaker condition of $\mathrm{PT}$ symmetry, one obtains new infinite classes of complex Hamiltonians whose spectra are also real and positive.
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Solitons in polyacetylene
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Journal ArticleDOI
Observation of parity–time symmetry in optics
Christian E. Rüter,Konstantinos G. Makris,Ramy El-Ganainy,Demetrios N. Christodoulides,Mordechai Segev,Detlef Kip +5 more
TL;DR: In this paper, the authors report the first observation of the behaviour of a PT optical coupled system that judiciously involves a complex index potential, and observe both spontaneous PT symmetry breaking and power oscillations violating left-right symmetry.
Journal ArticleDOI
Topological Photonics
Tomoki Ozawa,Hannah M. Price,Alberto Amo,Nathan Goldman,Mohammad Hafezi,Ling Lu,Mikael C. Rechtsman,David Schuster,Jonathan Simon,Oded Zilberberg,Iacopo Carusotto +10 more
TL;DR: Topological photonics is a rapidly emerging field of research in which geometrical and topological ideas are exploited to design and control the behavior of light as mentioned in this paper, which holds great promise for applications.