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Vapour cell spectroscopy is an essential technique in many fields; inparticular, nearly all atom and ion trapping experiments rely on simultaneousspectroscopy of two atomic transitions, traditionally employing separateapparatus for each transition. Here, we demonstrate simultaneous spectroscopyon two atomic transitions using spatially-overlapped beams from two independentlasers, within a single spectroscopic apparatus. We show that, in addition toaiding compactness, this approach offers superior performance, leading tosharper spectroscopy peaks and stronger absorption signals. Doppler-freelocking features become visible over a frequency range several hundred MHzwider than for standard saturated absorption spectroscopy. By exploring thefull, 2D parameter space associated with dual-frequency spectroscopy, we reveala lattice-like structure of sharp resonance features in 2D frequency space,which enhances experimental versatility by allowing laser frequencystabilisation anywhere within a wide manifold of locations in 2D frequencyspace. The process of simultaneous frequency stabilisation of two lasers isanalysed in detail, revealing that it can be expected to produce significantimprovements in laser stability when compared to conventional, single-frequencyspectroscopy.

Dual-frequency Doppler-free spectroscopy for simultaneous laser stabilisation in compact atomic physics experiments