Asymmetric lasing at spectral singularities

Abstract

Scattering coefficients can diverge at spectral singularities. In such situation, the stationary solution becomes a laser solution with outgoing waves only. We explore a parity-time (PT)-symmetric non-Hermitian two-arm Aharonov-Bohm interferometer consisting of three coupled resonators enclosing synthetic magnetic flux. The synthetic magnetic flux does not break the PT symmetry, which protects the symmetric transmission. The features and conditions of symmetric, asymmetric, and unidirectional lasing at spectral singularities are discussed. We elucidate that lasing affected by the interference is asymmetric; asymmetric lasing is induced by the interplay between the synthetic magnetic flux and the system's non-Hermiticity. The product of the left and right transmissions is equal to that of the reflections. Our findings reveal that the synthetic magnetic flux affects light propagation, and the results can be applied in the design of lasing devices.

arXiv comment8 pages, 5 figures

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• Fundamental transfer matrix for electromagnetic waves, scattering by a planar collection of point scatterers, and anti-PT-symmetry
• Spectral singularities and tunable slab lasers with 2D material coating
• Light transfer transitions beyond higher-order exceptional points in parity-time and anti-parity-time symmetric waveguide arrays
• Phase-controlled Optical PT symmetry and asymmetric light diffraction in one- and two-dimensional optical lattices
• Solving scattering problems in the half-line using methods developed for scattering in the full line
• Optical Non-Reciprocity in Coupled Resonators Inspired by Photosynthetic Energy Transfer
• Non-reciprocal population dynamics in a quantum trimer