High-momentum tail in the Tonks-Girardeau gas under general confining potentials
classification
❄️ cond-mat.quant-gas
keywords
confiningtailapproachasymptoticbosonscomputingderivedistribution
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We prove that the ground state momentum distribution of a one-dimensional system of impenetrable bosons exhibits a $k^{-4}$ tail for any confining potential. We also derive an expression for easily computing the asymptotic occupation numbers and verify our results with an exact numerical approach.
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