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- W2034688403 abstract "We discuss recent results on the relation between the strongly interacting one-dimensional Bose gas and a gas of ideal particles obeying nonmutual generalized exclusion statistics (GES). The thermodynamic properties considered include the statistical profiles, the specific heat and local pair correlations. In the strong coupling limit γ → ∞, the Tonks-Girardeau gas, the equivalence is with Fermi statistics. The deviation from Fermi statistics during boson fermionization for finite but large interaction strength γ is described by the relation α ≈ 1 - 2/γ, where α is a measure of the GES. This gives a quantitative description of the fermionization process. In this sense the recent experimental measurement of local pair correlations in a 1D Bose gas of 87Rb atoms also provides a measure of the deviation of the GES parameter α away from the pure Fermi statistics value α=1. Other thermodynamic properties, such as the distribution profiles and the specific heat, are also sensitive to the statistics. They also thus provide a way of exploring fractional statistics in the strongly interacting 1D Bose gas." @default.
- W2034688403 created "2016-06-24" @default.
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- W2034688403 date "2007-01-01" @default.
- W2034688403 modified "2023-09-26" @default.
- W2034688403 title "Fermionization and fractional statistics in the strongly interacting one-dimensional Bose gas" @default.
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- W2034688403 doi "https://doi.org/10.1002/lapl.200610068" @default.
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