Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices

Details Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices

2010-01-26

arxiv.org/abs/1001.4720v3

Phys. Rev. A. 81, 053602 (2010)

Physics

Condensed Matter

Quantum Gases

7 pages Revtex4, 9 eps figures; version as published, minor revisions

Scientific paper

10.1103/PhysRevA.81.053602

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local density approximation (LDA) and density matrix renormalization group (DMRG) simulations. Based on the exact equation of state obtained by Bethe ansatz, LDA predicts that the gas phase-separates into shells with a partially polarized core and fully paired wings, where the latter occurs below a critical spin polarization. This behavior is also seen in numerically exact DMRG calculations at sufficiently large particle numbers. Unlike the continuum case, we show that the critical polarization is a non monotonic function of the interaction strength and vanishes in the limit of large interactions.

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