Observation of Localized States in Lieb Photonic Lattices

Vicencio, Rodrigo A.; Cantillano, Camilo; Morales‐Inostroza, Luis; Real, Bastián; Mejía-Cortés, Cristian; Weimann, Steffen; Szameit, Alexander; Molina, Mario I.

doi:10.1103/physrevlett.114.245503

Cited by 574 publications

(535 citation statements)

References 28 publications

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“…In some two-particle Hubbard models, there are bound states that can move into and out of the continuum continuously [235][236][237][238] ; the confinement requires no parameter tuning and has been credited to integrability 236 . Systems with a perfectly flat band can support localized states 239,240 . Localization can be induced with strong gain and/or loss, for example in a defect site with high loss 241 and in the bulk 200,202,242,243 or on the surface 244 of parity-time symmetric systems; ref.…”

Section: Discussionmentioning

confidence: 99%

Bound states in the continuum

et al. 2016

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Bound states in the continuum are waves that, defying conventional wisdom, remain localized even though they coexist with a continuous spectrum of radiating waves that can carry energy away. Their existence was first proposed in quantum mechanics and, being a general wave phenomenon, later identified in electromagnetic, acoustic, and water waves. They have been studied in a wide variety of material systems such as photonic crystals, optical waveguides and fibers, piezoelectric materials, quantum dots, graphene, and topological insulators. This Review describes recent developments in this field with an emphasis on the physical mechanisms that lead to these unusual states across the seemingly very different platforms. We discuss recent experimental realizations, existing applications, and directions for future work.

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Section: Discussionmentioning

confidence: 99%

Bound states in the continuum

et al. 2016

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“…Their vanishing group velocity and strong degeneracy can be directly observed via the existence of strongly localized yet propagation invariant (nondiffracting) wavepackets [51,52,56]. This nondiffracting behavior leads to a strong sensitivity to further perturbations such as disorder or interactions [45,47,73], analogous to slow light-enhanced nonlinear optical effects.…”

Section: Applicationsmentioning

confidence: 99%

“…In this case, the prototypical example for studying the properties of integer pseudospin intersections has been the square-like "Lieb lattice" shown in Fig. 1(c), originally proposed for cold atoms [43,[45][46][47] and recently realized as a photonic lattice [48][49][50][51][52].…”

Section: Designmentioning

confidence: 99%

Conical intersections for light and matter waves

Leykam

Desyatnikov

2016

Advances in Physics: X

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We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the Dirac cone, where propagation is governed by an effective Dirac equation, with electron spin replaced by a "fermionic" half-integer pseudospin. However, in many systems such as metamaterials, modal symmetries result in the formation of higher order conical intersections with integer or "bosonic" pseudospin. The ability to engineer lattices with these qualitatively different singular dispersion relations opens up many applications, including superior slab lasers, generation of orbital angular momentum, zeroindex metamaterials, and quantum simulation of exotic phases of relativistic matter.

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“…Perturbations may hybridize CLSs with dispersive states through a spatially local resonant scenario [5], similar to Fano resonances [6]. The CLS existence has been experimentally probed in the same settings where FB lattices may be realized, as mentioned above: waveguiding arrays [7][8][9], exciton-polariton condensates [10], and atomic BECs [4]. The impact of various perturbations, such as disorder [5,11], correlated potentials [12,13], and external magnetic and electric fields [14], on FB lattices and the corresponding CLSs was studied too.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear localized flat-band modes with spin-orbit coupling

et al. 2016

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We report the coexistence and properties of stable compact localized states (CLSs) and discrete solitons (DSs) for nonlinear spinor waves on a flatband network with spin-orbit coupling (SOC). The system can be implemented by means of a binary Bose-Einstein condensate loaded in the corresponding optical lattice. In the linear limit, the SOC opens a minigap between flat and dispersive bands in the system's bandgap structure, and preserves the existence of CLSs at the flatband frequency, simultaneously lowering their symmetry. Adding onsite cubic nonlinearity, the CLSs persist and remain available in an exact analytical form, with frequencies which are smoothly tuned into the minigap. Inside of the minigap, the CLS and DS families are stable in narrow areas adjacent to the FB. Deep inside the semi-infinite gap, both the CLSs and DSs are stable too.

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Observation of Localized States in Lieb Photonic Lattices

Cited by 574 publications

References 28 publications

Bound states in the continuum

Bound states in the continuum

Conical intersections for light and matter waves

Nonlinear localized flat-band modes with spin-orbit coupling

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