Photonic topological insulators: Haldane 2D model in photonic lattices; topological edge states; non-Hermitian and PT-symmetric; non-reciprocal; Floquet; synthetic dimensions; topological lasers; exceptional points; quantum-Hall photonics.
Topological Photonics
Haldane 2D model in photonics
Haldane 1988 honeycomb-lattice model with broken time-reversal yields quantum-anomalous-Hall; Wang 2008 / Raghu-Haldane 2008 first photonic…
Topological photonic edge state
Bulk-edge correspondence: gapless edge modes appear at boundary between regions of different Chern number; one-way propagation immune to…
Non-Hermitian photonics
Gain and loss break Hermiticity; complex eigenvalues; non-Hermitian skin effect concentrates eigenmodes at boundary; modifies bulk-edge…
Non-reciprocal photonics
Time-reversal breaking via magneto-optic Faraday rotation, optomechanical interaction, or Floquet drive; one-way isolators and circulators;…
Floquet topological photonics
Periodic time-modulation generates effective gauge fields and Chern bands; Rechtsman 2013 honeycomb of helical waveguides realized photonic…
Synthetic dimensions in photonics
Frequency, OAM, time-bin act as synthetic dimensions; allow effective 4D and 5D topology in physically lower-dimensional photonic system;…
Topological photonic crystal (Bi 2017)
Bi 2017 / Wu-Hu 2015: spin-Hall analogue in passive photonic crystal via crystal symmetry; pseudo-spin from p- and d-orbital photon modes;…
Topological laser
Bandres / Harari 2018: topological insulator laser exploits edge-mode lasing; St-Jean / Ozawa 2017 1D SSH laser; Bahari 2017 magnetic…
Exceptional points in photonics
Non-Hermitian degeneracies where eigenvalues and eigenvectors coalesce; Heiss square-root response enables sensitivity-enhanced sensors…
Anomalous Floquet edge state
Rudner-Lindner 2013 anomalous Floquet topological insulator: edge modes exist in driven system with all bands trivially Chern; Maczewsky…
PT-symmetric photonics
Bender 1998: parity-time-symmetric Hamiltonians have real spectra below symmetry-breaking threshold; balanced gain-loss waveguide arrays…
Quantum-Hall photonics
Lu-Joannopoulos-Soljacic 2014: photonic analogue of integer quantum Hall in 3D Weyl photonic crystal; Khanikaev 2013 photonic spin-orbit…
Photonic Floquet topological insulator (Rechtsman 2013)
Rechtsman 2013 honeycomb of helical waveguides realizes Floquet topological insulator at optical frequencies; chiral edge states immune to…
Non-Hermitian skin effect (Yao-Wang)
Yao-Wang 2018 non-Hermitian skin effect: in non-Hermitian lattices, bulk eigenstates localize at boundaries; modifies bulk-edge…
Valley photonic crystal (VPC)
Wu-Hu 2015 / Ma-Shvets 2016 valley-Hall photonic crystals: K/K' valleys in honeycomb lattices generate valley-polarized edge states;…
Pseudo-spin helical photonic edge state
Khanikaev 2013 photonic crystal pseudo-spin via TE/TM degeneracy lifting; symmetry-protected edge states transport opposite pseudo-spins in…
Berry curvature in photonic bands
Berry-Pancharatnam 1956 phase concept: photonic-band Berry curvature integrates over BZ to give Chern number; gauge invariant +…
Chiral edge state (magnetic photonic crystal)
Wang 2008 magneto-optic gyromagnetic photonic crystal hosts unidirectional chiral-edge mode protected by Chern-number; one-way wave…