Exceptional points above lasing threshold

Stefan Rotter

Technische Universität Wien, Institut für Theoretische Physik, Vienna, Austria

We demonstrate that exceptional points may occur in the solutions of the lasing equations for microlasers with a PT-like symmetry. At these points the eigenvalues of the non-hermitian operator which governs the lasing states make a transition from mode crossing to mode anti-crossing. The complex behavior associated with such an exceptional point may entirely switch-off the laser even when increasing the overall pump strength deposited in the system. Our results open up the way to experimentally observe characteristic features of non- hermitian mode dynamics in a laser. We discuss how such an experiment could be realized and point out interesting connections to systems with full PT symmetry.

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