Nonlinear exceptional-point lasing with ab-initio Maxwell-Bloch theory

Abstract

We present a general analysis for finding and characterizing nonlinear exceptional point (EP) lasers above threshold, using steady-state ab-initio Maxwell-Bloch equations. For a system of coupled slabs, we show that a nonlinear EP is obtained for a given ratio between the external pumps in each resonator, and that it is associated with a kink in the output power and lasing frequency, confirming coupled-mode theory predictions. Through numerical linear stability analysis, we confirm that the EP laser can be stable for a large enough inversion relaxation rate. We further show that the EP laser can be characterized by scattering a weak signal off the lasing cavity, so that the scattering frequency spectrum exhibits a quartic divergence. Our approach can be applied to arbitrary scatterers with multi-level gain media.

References in corpus (10)

• The physics of exceptional points
• Loss-induced suppression and revival of lasing
• Reversing the Pump-Dependence of a Laser at an Exceptional Point
• Self-consistent multi-mode lasing theory for complex or random lasing media
• Quantitative Verification of Ab Initio Self-consistent Laser Theory
• Ab-initio multimode linewidth theory for arbitrary inhomogeneous laser cavities
• General linewidth formula for steady-state multimode lasing in arbitrary cavities
• Spectral Signatures of Exceptional Points and Bifurcations in the Fundamental Active Photonic Dimer
• Symmetry, stability, and computation of degenerate lasing modes
• Is single-mode lasing possible in an infinite periodic system?

Cited by in corpus (7)

• Temporal coupled-mode theory in nonlinear resonant photonics: From basic principles to contemporary systems with 2D materials, dispersion, loss, and gain
• Multimode optomechanics with a two-dimensional optomechanical crystal
• Dynamic gain and frequency comb formation in exceptional-point lasers
• Controlling lasing around Exceptional Points in Coupled Nanolasers
• Mode visualisation and control of complex lasers using neural networks
• Single-mode emission by phase-delayed coupling between nano-lasers
• Bi-stability and period-doubling cascade of frequency combs in exceptional-point lasers