2019
DOI: 10.1103/physrevlett.123.217401
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Topological Phases of Polaritons in a Cavity Waveguide

Abstract: We study the unconventional topological phases of polaritons inside a cavity waveguide, demonstrating how strong light-matter coupling leads to a breakdown of the bulk-edge correspondence. Namely, we observe an ostensibly topologically nontrivial phase, which unexpectedly does not exhibit edge states. Our findings are in direct contrast to topological tight-binding models with electrons, such as the celebrated Su-Schrieffer-Heeger (SSH) model. We present a theory of collective polaritonic excitations in a dime… Show more

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Cited by 60 publications
(38 citation statements)
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“…These quantum waveguides support various exotic correlated states, such as photon bound states [27], novel twilight states [28], and selfinduced localized states [29], which look very promising for storage and processing of quantum information. By arranging the positions of qubits and designing the waveguide structure, the topological edge states have been analyzed in singleexcitation systems [30][31][32][33]. However, exotic effects may emerge in interacting topological systems when two or more particles (or quasiparticle excitations) interact [34][35][36][37][38][39].…”
Section: Introductionmentioning
confidence: 99%
“…These quantum waveguides support various exotic correlated states, such as photon bound states [27], novel twilight states [28], and selfinduced localized states [29], which look very promising for storage and processing of quantum information. By arranging the positions of qubits and designing the waveguide structure, the topological edge states have been analyzed in singleexcitation systems [30][31][32][33]. However, exotic effects may emerge in interacting topological systems when two or more particles (or quasiparticle excitations) interact [34][35][36][37][38][39].…”
Section: Introductionmentioning
confidence: 99%
“…To achieve this rich variety, we allow the coherent and dissipative coupling parameters to be complex quantities. Permitting complex phase degrees of freedom via the coupling parameters is known to greatly increase the depth of physics in quantum systems [29,63], most famously in the Haldane model (where adding complex next-nearest-neighbor hoppings leads to topological nontrivialities [64]). Here we show how modulating the relative strength and the relative phase of the coherent and dissipative couplings allows one to navigate through the landscape of effective couplings, in a manner reminiscent of reservoir engineering [65].…”
Section: Introductionmentioning
confidence: 99%
“…The reflection phase changes and the Zak phase changes directly govern the topological properties. Analogous to Su-Schrieffer-Heeger (SSH) model in electronic systems 35 , 36 , topological interface-states emerge when two periodic SCRRs with different Zak phases are connected. The detailed calculation and definition are shown in the supplementary information.…”
Section: Resultsmentioning
confidence: 99%