Browsing by Author "Jeszenszki P"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Eliminating the wave-function singularity for ultracold atoms by a similarity transformation
    (American Physical Society, 2020-11-20) Jeszenszki P; Ebling U; Luo H; Alavi A; Brand J
    A hyperbolic singularity in the wave function of δ-wave interacting atoms is the root problem for any accurate numerical simulation. Here, we apply the transcorrelated method, whereby the wave-function singularity is explicitly described by a two-body Jastrow factor, and then folded into the Hamiltonian via a similarity transformation. The resulting nonsingular eigenfunctions are approximated by stochastic Fock-space diagonalization with energy errors scaling with 1/Μ in the number M of single-particle basis functions. The performance of the transcorrelated method is demonstrated on the example of strongly correlated fermions with unitary interactions. The current method provides the most accurate ground-state energies so far for three and four fermions in a rectangular box with periodic boundary conditions.