Abstract
We explore the experimental implications of a recent theory of the quantum dynamics of vortices in two-dimensional superfluids proximate to Mott insulators. The theory predicts modulations in the local density of states in the regions over which the vortices execute their quantum zero-point motion. We use the spatial extent of such modulations in scanning tunnelling microscopy measurements [J.E. Hoffman, E.W. Hudson, K.M. Lang, V. Madhavan, S.H. Pan, H. Eisaki, S. Uchida, J.C. Davis, Science 295 (2002) 466] on the vortex lattice of Bi 2Sr 2CaCu 2O 8+ δ to estimate the inertial mass of a point vortex. We discuss other, more direct, experimental signatures of the vortex dynamics.
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