“…This resulted in measurements of atomic polarizability ͑Ekstrom et al, 1995͒, the index of refraction due to dilute gases ͑Schmiedmayer et al, 1995; Roberts et al, 2002͒, contrast interferometry using magnetic rephasing ͑Schmiedmayer et al, 1994͒, and diffraction phases induced by van der Waals interactions ͑Perreault and . In experiments not explicitly needing separated beams, this apparatus has been used to measure phase shifts due to rotations Lenef et al, 1997͒ and to study decoherence due to scattering photons and background gas ͑Chapman, Kokorowski et al, 2001;Uys et al, 2005͒. This apparatus was also used to perform the first separated beam experiments with molecules ͑Na 2 ͒ ͑Chap-man, An interferometer with similar nanogratings was developed at the MPI in Göttingen and used to measure the polarizability of He and He 2 ͑Toennies, 2001͒.…”