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Exact solution for 1D spin-polarized fermions with resonant interactions

Imambekov, Adilet ; Lukyanov, Alexander A. ; Glazman, Leonid I. ; Gritsev, Vladimir

In: Physical Review Letters, 2010, vol. 104, no. 4, p. 040402

Using the asymptotic Bethe ansatz, we obtain an exact solution of the many-body problem for 1D spin-polarized fermions with resonant p-wave interactions, taking into account the effects of both scattering volume and effective range. Under typical experimental conditions, accounting for the effective range, the properties of the system are significantly modified due to the existence of “shape”...