Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices

Details Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices

2005-12-08

arxiv.org/abs/cond-mat/0512184v1

Phys. Rev. B 73, 165120 (2006)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 11 figures, 1 table, submitted

Scientific paper

10.1103/PhysRevB.73.165120

We present an extensive numerical study of ground-state properties of confined repulsively interacting fermions on one-dimensional optical lattices. Detailed predictions for the atom-density profiles are obtained from parallel Kohn-Sham density-functional calculations and quantum Monte Carlo simulations. The density-functional calculations employ a Bethe-Ansatz-based local-density approximation for the correlation energy, which accounts for Luttinger-liquid and Mott-insulator physics. Semi-analytical and fully numerical formulations of this approximation are compared with each other and with a cruder Thomas-Fermi-like local-density approximation for the total energy. Precise quantum Monte Carlo simulations are used to assess the reliability of the various local-density approximations, and in conjunction with these allow to obtain a detailed microscopic picture of the consequences of the interplay between particle-particle interactions and confinement in one-dimensional systems of strongly correlated fermions.

Affiliated with

Also associated with

No associations

Rating

Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bethe-Ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442898