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Optica Laser Congress (ASSL, LAC, LS&C)

Spectra of superradiant lasers

Игорь Евгеньевич Проценко, Alexander V. Uskov, Emil C. André, Jesper Mørk, Martijn Wubs

Published Jan 1, 2020• 0 citations
Publisher

Abstract

The emission spectrum of a superradiant laser is calculated analytically using quantum Langevin equations. New sideband peaks and fine structure in the spectrum are predicted for lasers with strong relaxation oscillations.
DOI
10.1364/assl.2020.jth2a.19

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Abstract A new approach for analytically solving quantum nonlinear Langevin equations is proposed and applied to calculations of spectra of superradiant lasers where collective effects play an important role. We calculate lasing spectra for arbitrary pump rates and recover well-known results such as the pump dependence of the laser linewidth across the threshold region. We predict new sideband peaks in the spectrum of superradiant lasers with large relaxation oscillations as well as new nonlinear structures in the lasing spectra for weak pump rates. Our approach sheds new light on the importance of population fluctuations in the narrowing of the laser linewidth, in the structure of the lasing spectrum, and in the transition to coherent operation.
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We present numerical and analytical results for the Mollow probe absorption spectrum of a coherently driven two-level system in a narrow bandwidth squeezed vacuum field. The spectra are calculated for the case where the Rabi frequency of the driving field is much larger than the natural linewidth and the squeezed vacuum carrier frequency is detuned from the driving laser frequency. The driving laser is on resonance. We show that in a detuned squeezed vacuum the standard Mollow features are each split into triplets. The central components of each triplet are weakly dependent on the squeezing phase but the sidebands strongly depend on the phase and can have dispersive or absorptive/emissive profiles. We also derive approximate analytical expressions for the spectral features and find that the multi-peak structure of the spectrum can be interpreted either via the eigenfrequencies of a generalized Floquet Hamiltonian or in terms of three-photon transitions between dressed states involving a probe field photon and a correlated photon pair from the squeezed vacuum field.
We further develop the theory of the superradiant laser by allowing for submaximal atomic collectivity and spontaneous emission. In the absence of spontaneous emission we obtain a set of stationary solutions for different degrees of atomic cooperativity and investigate their fluctuation properties and interrelations with respect to the underlying U(3) symmetry. We use this set of solutions to discuss the breaking of U(3) by spontaneous emission. \textcopyright{} 1996 The American Physical Society.