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We derive scaling laws for the spin decoherence of neutral atoms trapped nearconducting and superconducting plane surfaces. A new result for thin filmssheds light on the measurement of Y.J. Lin, I. Teper, C. Chin, and V.Vuleti\'{c} [Phys. Rev. Lett. \textbf{92}, 050404 (2004)]. Our calculation isbased on a quantum-theoretical treatment of electromagnetic radiation nearmetallic bodies [P.K. Rekdal, S. Scheel, P.L. Knight, and E.A. Hinds, Phys.Rev. A \textbf{70}, 013811 (2004)]. We show that there is a criticalatom-surface distance that maximizes the spin relaxation rate and we show howthis depends on the skin depth and thickness of the metal surface. In the lightof this impedance-matching effect we discuss the spin relaxation to be expectedabove a thin superconducting niobium layer.Comment: 4 pages, 3 figures, typeset using RevTe

Atomic spin decoherence near conducting and superconducting films