On the renormalization of contact interactions for the configuration-interaction method in two-dimensions

Forskningsoutput: TidskriftsbidragArtikel i vetenskaplig tidskrift

Abstract

The configuration interaction (CI) method for calculating the exact eigenstates of a quantum-mechanical few-body system is problematic when applied to particles interacting through contact forces. In dimensions higher than one the approach fails due to the pathology of the Dirac δ-potential, making it impossible to reach convergence by gradually increasing the size of the Hilbert space. However, this problem may be cured in a rather simple manner by renormalizing the strength of the contact potential when diagonalizing in a truncated Hilbert space. One hereby relies on the comparison of the CI results to the two-body ground-state energy obtained by the exact solution of the Schrödinger equation for a regularized contact interaction. We discuss here a scheme that provides cutoff-independent few-body physical observables. The method is applied to a few-body system of ultracold atoms confined by a two-dimensional harmonic oscillator.

Detaljer

Författare
Enheter & grupper
Externa organisationer
  • CNR Istituto Nanoscienze, Pisa
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Atom- och molekylfysik och optik

Nyckelord

Originalspråkengelska
Artikelnummer065301
TidskriftJournal of Physics B: Atomic, Molecular and Optical Physics
Volym50
Utgåva nummer6
StatusPublished - 2017 mar 7
PublikationskategoriForskning
Peer review utfördJa

Relaterad forskningsoutput

Gunnar Eriksson, 2020 mar 26, Lund: Department of Physics, Lund University. 170 s.

Forskningsoutput: AvhandlingDoktorsavhandling (sammanläggning)

Visa alla (1)