Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation

• URL: http://arxiv.org/abs/2109.01325v1
• Date: Fri, 3 Sep 2021 05:50:54 GMT
• Title: Non-Hermitian topological phase transitions in superlattices and the optical Dirac equation
• Authors: Stefano Longhi
• Abstract summary: Optical superlattices with sublattice symmetry subjected to a synthetic imaginary gauge field undergo a topological phase transition in the Bloch energy spectrum. A simple photonic system displaying such a phase transition is discussed, which is based on light coupling in co-propagating gratings.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Optical superlattices with sublattice symmetry subjected to a synthetic imaginary gauge field undergo a topological phase transition in the Bloch energy spectrum, characterized by the change of a spectral winding number. For a narrow gap, the phase transition is of universal form and described by a non-Hermitian Dirac equation with Lorentz-symmetry violation. A simple photonic system displaying such a phase transition is discussed, which is based on light coupling in co-propagating gratings.

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