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- W3100586462 abstract "We investigate the momentum distribution function of a single distinguishable impurity particle which formed a polaron state in a gas of either free fermions or Tonks-Girardeau bosons in one spatial dimension. We obtain a Fredholm determinant representation of the distribution function for the Bethe ansatz solvable model of an impurity-gas delta <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mi>δ</mml:mi></mml:math> -function interaction potential at zero temperature, in both repulsive and attractive regimes. We deduce from this representation the fourth power decay at a large momentum, and a weakly divergent (quasi-condensate) peak at a finite momentum. We also demonstrate that the momentum distribution function in the limiting case of infinitely strong interaction can be expressed through a correlation function of the one-dimensional impenetrable anyons." @default.
- W3100586462 created "2020-11-23" @default.
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- W3100586462 date "2020-04-07" @default.
- W3100586462 modified "2023-10-17" @default.
- W3100586462 title "Zero temperature momentum distribution of an impurity in a polaron state of one-dimensional Fermi and Tonks-Girardeau gases" @default.
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- W3100586462 doi "https://doi.org/10.21468/scipostphys.8.4.053" @default.
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