Decoherence Spectroscopy Theory and Application with an Atom Interferometer

We developed decoherence spectroscopy as a method~to improve the accuracy of a tune-out wavelength ($\lambda $zero) measurement made with atom interferometry. Specifically, we used atom interference fringe contrast loss~as a function of laser frequency in order~to monitor Doppler shifts.~ This was particularly~helpful since we used a multi-pass cavity to recycle laser light in this experiment.~ The resulting decoherence spectra have non-intuitive features. Therefore~we present a theoretical model for decoherence spectroscopy and compare this model to several empirical examples.