Two-component Fermi gas in a one-dimensional harmonic trap

Details Two-component Fermi gas in a one-dimensional harmonic trap Two-component Fermi gas in a one-dimensional harmonic trap

2001-11-20

arxiv.org/abs/quant-ph/0111104v1

Physics

Quantum Physics

11 pages, 6 figures, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.65.033610

A many body theory for a two-component system of spin polarized interacting fermions in a one-dimensional harmonic trap is developed. The model considers two different states of the same fermionic species and treats the dominant interactions between the two using the bosonization method for forward scattering. Asymptotically exact results for the one-particle matrix elements at zero temperature are given. Using them, occupation probabilities of oscillator states are discussed. Particle and momentum densities are calculated and displayed. It is demonstrated how interactions modify all these quantities. An asymptotic connection with Luttinger liquids is suggested. The relation of the coupling constant of the theory to the dipole-dipole interaction is also discussed.

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