Linear response theory for superradiant lasers

Abstract

We theoretically study a superradiant laser, deriving both the steady-state behaviors and small-amplitude responses of the laser's atomic inversion, atomic polarization, and light field amplitude. Our minimum model for a three-level laser includes atomic population accumulating outside of the lasing transition and dynamics of the atomic population distribution causing cavity frequency tuning, as can occur in realistic experimental systems. We show that the population dynamics can act as real-time feedback to stabilize or de-stabilize the laser's output power, and we derive the cavity frequency tuning for a Raman laser. We extend the minimal model to describe a cold-atom Raman laser using ${}^{87}$Rb, showing that the minimal model qualitatively captures the essential features of the more complex system. This work informs our understanding of the stability of proposed millihertz linewidth lasers based on ultranarrow optical atomic transitions and will guide the design and development of these next-generation optical frequency references.

18 pages, 20 Figures, 5 page appendix

References in corpus (2)

• An atomic clock with $10^{-18}$ instability
• Relaxation oscillations, stability, and cavity feedback in a superradiant Raman laser

Cited by in corpus (14)

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• A Cold-Strontium Laser in the Superradiant Crossover Regime
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• Phase Synchronization between Two Superradiant Lasers
• Spin-Wave Multiplexed Atom-Cavity Electrodynamics
• Stability analysis for bad cavity lasers using inhomogeneously broadened spin-1/2 atoms as gain medium
• Electromagnetically induced transparency in inhomogeneously broadened solid media
• Regular and bistable steady-state superradiant phases of an atomic beam traversing an optical cavity
• Continuous multi-step pumping of the optical clock transition in alkaline-earth atoms with minimal perturbation
• Phase diagram for injection locking a superradiant laser
• Steady-state subradiance manipulated by the two-atom decay
• Coupling atoms to cavities with narrow linewidth optical transitions: Applications to frequency metrology
• Solving Dicke superradiance analytically: A compendium of methods
• A Generalized Schawlow-Townes Limit