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<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-symmetry in honeycomb photonic lattices

Alexander SzameitPhysics Department and Solid State Institute, Technion, 32000 Haifa, IsraelMikael C. RechtsmanPhysics Department and Solid State Institute, Technion, 32000 Haifa, IsraelOmri Bahat-TreidelPhysics Department and Solid State Institute, Technion, 32000 Haifa, IsraelMordechai SegevPhysics Department and Solid State Institute, Technion, 32000 Haifa, Israel
2011lv
ABI

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We apply gain and loss to honeycomb photonic lattices and show that the dispersion relation is identical to tachyons---particles with imaginary mass that travel faster than the speed of light. This is accompanied by -symmetry breaking in this structure. We further show that the -symmetry can be restored by deforming the lattice.

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