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Local exclusion principle for identical particles obeying intermediate and fractional statistics (1205.2520v3)
Published 11 May 2012 in quant-ph, cond-mat.quant-gas, math-ph, and math.MP
Abstract: A local exclusion principle is observed for identical particles obeying intermediate/fractional exchange statistics in one and two dimensions, leading to bounds for the kinetic energy in terms of the density. This has implications for models of Lieb-Liniger and Calogero-Sutherland type, and implies a non-trivial lower bound for the energy of the anyon gas whenever the statistics parameter is an odd numerator fraction. We discuss whether this is actually a necessary requirement.
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