Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions

Details Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions Exact Solution for 1D Spin-Polarized Fermions with Resonant Interactions

2009-10-12

arxiv.org/abs/0910.2269v2

Phys. Rev. Lett. 104, 040402 (2010)

Physics

Condensed Matter

Quantum Gases

final version to be published in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.104.040402

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" resonances. The excitation spectrum of the considered model has unexpected features, such as the inverted position of the particle- and hole-like branches at small momenta, and roton-like minima. We find that the frequency of the "breathing" mode in the harmonic trap provides an unambiguous signature of the effective range.

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