Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 50, Issue 6, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1361-6455/aa606a
Keywords
degenerate Fermi gases; degenerate Bose gases; few-body physics; configuration interaction method; exact diagonalization; Fermi pseudopotential; two-dimensional harmonic trap
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Funding
- EU-FP7 Marie Curie ITN INDEX
- Fondazione Cassa di Risparmio di Modena through the project COLDandFEW
- CINECA-ISCRA [IscrC_TUN1DFEW]
- NordForsk
- Swedish Foundation for Strategic Research
- Swedish Research Council
- NanoLund at Lund University
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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 delta-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 Schrodinger 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.
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