Robust optical delay lines with topological protection

Hafezi, Mohammad; Demler, Eugene; Lukin, Mikhail D.; Taylor, Jacob M.

doi:10.1038/nphys2063

Cited by 1,341 publications

(1,314 citation statements)

References 56 publications

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“…In contrast, in edge-mode guiding systems [11,12,[15][16][17][18], the intensity maximum is located at the edge. This difference is of great importance in practice.…”

Section: Introductionmentioning

confidence: 90%

“…Photons are neutral particles, and hence there is no naturally existing gauge field that couples to photons. Nevertheless, in recent years, various mechanisms for creating effective gauge field for photons have been proposed [5][6][7][8][9][10][11][12][13][14] and demonstrated [15][16][17]. In particular, it has been pointed out by Fang et al [18] that a photonic gauge field can be created in a dynamically modulated photonic structure by controlling the modulation phase.…”

Section: Introductionmentioning

confidence: 99%

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Light Guiding by Effective Gauge Field for Photons

2014

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We propose a waveguiding mechanism based on the effective gauge potential for photons. The waveguide geometry consists of core and cladding regions with the same underlying dispersion relation, but subject to different gauge potentials. This geometry can be realized in a dynamically modulated resonator lattice and provides a conceptually straightforward and dynamically reconfigurable mechanism for generating a one-way waveguide.

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“…In contrast, in edge-mode guiding systems [11,12,[15][16][17][18], the intensity maximum is located at the edge. This difference is of great importance in practice.…”

Section: Introductionmentioning

confidence: 90%

Section: Introductionmentioning

confidence: 99%

Light Guiding by Effective Gauge Field for Photons

2014

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“…Many interesting phenomena such as the Hofstadter butterfly [1] and chiral edge states [1,2,4,5] can emerge in the systems, by their analogy to quantum Hall systems. Actually, the ring-resonator lattice can be viewed as an optical realization of the Chalker-Coddingnton (CC) network model [7], which was introduced to simulate the Anderson localization in quantum Hall systems.…”

Section: Introductionmentioning

confidence: 99%

Synthetic gauge field and pseudospin–orbit interaction in a stacked two-dimensional ring-network lattice

Ochiai¹

2016

J. Phys.: Condens. Matter

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We study the effects of a synthetic gauge field and pseudospin-orbit interaction in a stacked twodimensional ring-network model. The model was introduced to simulate light propagation in the corresponding ring-resonator lattice, and is thus completely bosonic. Without these two items, the model exhibits Floquet-Weyl and Floquet-topological-insulator phases with topologically gapless and gapped band structures, respectively. The synthetic magnetic field implemented in the model results in a three-dimensional Hofstadter-butterfly-type spectrum in a photonic platform. The resulting gaps are characterization by the winding number of relevant S-matrices together with the Chern number of the bulk bands. The pseudospin-orbit interaction is defined as the mixing term between two pseudospin degrees of freedom in the rings, namely, the clockwise and counter-clockwise modes. It destroys the Floquet-topological-insulator phases, while the Floquet-Weyl phase with multiple Weyl points can be preserved by breaking the space-inversion symmetry. Implementing both the synthetic gauge field and pseudospin-orbit interaction requires a certain nonreciprocity.

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“…For example, bianisotropic metamaterials can access to modulate the spin flow of light with backscattering immune at the boundary of topological photonic crystals, after opening a nontrivial gap from Dirac cone 13,8,11 . An alternative method is proposed to implement photonic analogue of the integer quantum Hall effect by using periodic coupling resonators on a silicon-on-insulator platform in near-infared (NIR) wavelength scale 7,14,15 .…”

mentioning

confidence: 99%

“…Following the pace of condensed matter, these conical dispersion bands have been extended to bosonic systems particularly for electromagnetic waves [4][5][6][7][8][9][10][11][12] . Bosonic Dirac cones at the zone boundary reveal many similar phenomena with fermionic particles.…”

mentioning

confidence: 99%

Realization of Zero-Refractive-Index Lens with Ultralow Spherical Aberration

He¹,

Huang²,

Chang³

et al. 2016

ACS Photonics

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Optical complex materials offer unprecedented opportunity to engineer fundamental band dispersion which enables novel optoelectronic functionality and devices. Exploration of photonic Dirac cone at the center of momentum space has inspired an exceptional characteristic of zero-index, which is similar to zero effective mass in fermionic Dirac systems. Such all-dielectric zero-index photonic crystals provide an in-plane mechanism such that the energy of the propagating waves can be well confined along the chip direction. A straightforward example is to achieve the anomalous focusing effect without longitudinal spherical aberration, when the size of zero-index lens is large enough. Here, we designed and fabricated a prototype of zero-refractive-index lens by comprising large-area silicon nanopillar array with plane-concave profile. Near-zero refractive index was quantitatively measured near 1.55 m through anomalous focusing effect, predictable by effective medium 2 theory. The zero-index lens was also demonstrated to perform ultralow longitudinal spherical aberration. Such IC compatible device provides a new route to integrate all-silicon zero-index materials into optical communication, sensing, and modulation, and to study fundamental physics on the emergent fields of topological photonics and valley photonics.Dirac cones in fermionic systems have attracted tremendous attention in the fields of topological insulator and graphene [1][2][3] . Following the pace of condensed matter, these conical dispersion bands have been extended to bosonic systems particularly for electromagnetic waves 4-12 . Bosonic Dirac cones at the zone boundary reveal many similar phenomena with fermionic particles. For example, bianisotropic metamaterials can access to modulate the spin flow of light with backscattering immune at the boundary of topological photonic crystals, after opening a nontrivial gap from Dirac cone 13,8,11 . An alternative method is proposed to implement photonic analogue of the integer quantum Hall effect by using periodic coupling resonators on a silicon-on-insulator platform in near-infared (NIR) wavelength scale 7,14,15 .Beyond those predominant behaviors, bosonic Dirac cones also present extra features other than femionic systems. Recently, another type of photonic Dirac cones induced by accidental degeneracy at the zone center has been found in a class of all-dielectric photonic crystals 16,17 , in which the optical response shows very different to the case at the zone boundary. One of the remarkable properties is zero-index behavior such that the effective permittivity and permeability are simultaneously to be zero at Dirac frequency. To date, nanorod-array structure is the exclusive way to realize all-dielectric zero-index photonic crystal in optical frequency regime. How to sufficiently confine the propagation wave in the plane of periodicity is a practical challenge for 3 rod-slab structures. The first implementation at near-infrared (NIR) wavelength has been fabricated by alternating silicon/silica layers ...

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Robust optical delay lines with topological protection

Cited by 1,341 publications

References 56 publications

Light Guiding by Effective Gauge Field for Photons

Light Guiding by Effective Gauge Field for Photons

Synthetic gauge field and pseudospin–orbit interaction in a stacked two-dimensional ring-network lattice

Realization of Zero-Refractive-Index Lens with Ultralow Spherical Aberration

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