Bethe ansatz density-functional theory of ultracold repulsive fermions in one-dimensional optical lattices
- NEST-CNR-INFM and Scuola Normale Superiore, I-56126 Pisa (Italy)
We present an extensive numerical study of the ground-state properties of confined repulsively interacting fermions in 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 that accounts for Luttinger-liquid and Mott-insulator physics. Semianalytical and fully numerical formulations of this approximation are compared with each other and with a cruder Thomas-Fermi-type 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 provide a detailed microscopic picture of the consequences of the interplay between particle-particle interactions and confinement in one-dimensional systems of strongly correlated fermions.
- OSTI ID:
- 20788077
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Vol. 73, Issue 16; Other Information: DOI: 10.1103/PhysRevB.73.165120; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
Similar Records
Bethe Ansatz Approach to the Kondo Effect within Density-Functional Theory
SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations