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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Bulk and edge-state arcs in non-Hermitian coupled-resonator arrays
AU - Malzard, Simon
AU - Schomerus, Henning Ulrich
PY - 2018/9/7
Y1 - 2018/9/7
N2 - We describe the formation of bulk and edge arcs in the dispersion relation of two-dimensional coupledresonator arrays that are topologically trivial in the Hermitian limit. Each resonator provides two asymmetrically coupled internal modes, as realized in noncircular open geometries, which enables the system to exhibit non-Hermitian physics. Neighboring resonators are coupled chirally to induce non-Hermitian symmetries. The bulk dispersion displays Fermi arcs connecting spectral singularities known as exceptional points and can be tuned to display purely real and imaginary branches. At an interface between resonators of different shape, one-dimensional edge states form that spectrally align along complex arcs connecting different parts of the bulk bands. We also describe conditions under which the edge-state arcs are freestanding. These features can be controlled via anisotropy in the resonator couplings.
AB - We describe the formation of bulk and edge arcs in the dispersion relation of two-dimensional coupledresonator arrays that are topologically trivial in the Hermitian limit. Each resonator provides two asymmetrically coupled internal modes, as realized in noncircular open geometries, which enables the system to exhibit non-Hermitian physics. Neighboring resonators are coupled chirally to induce non-Hermitian symmetries. The bulk dispersion displays Fermi arcs connecting spectral singularities known as exceptional points and can be tuned to display purely real and imaginary branches. At an interface between resonators of different shape, one-dimensional edge states form that spectrally align along complex arcs connecting different parts of the bulk bands. We also describe conditions under which the edge-state arcs are freestanding. These features can be controlled via anisotropy in the resonator couplings.
U2 - 10.1103/PhysRevA.98.033807
DO - 10.1103/PhysRevA.98.033807
M3 - Journal article
VL - 98
JO - Physical review a
JF - Physical review a
SN - 1050-2947
IS - 3
M1 - 033807
ER -