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To optimize the SGBO laser (Fig. 3a): (1) we work in the strong atom-cavity coupling regime by fixing . In this regime we estimate the mean photon number to be 〈n〉 ~ (Γp − 2Γe)/(2Γc). (2) We tune Γp/Γe and Γc/Γe to optimize the laser linewidth while fixing the mean number of photons in the cavity.
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