Effective-interaction approach to the many-boson problem

Details Effective-interaction approach to the many-boson problem Effective-interaction approach to the many-boson problem

2008-02-20

arxiv.org/abs/0802.2811v2

Phys. Rev. A 79, 012707 (2009)

Physics

Condensed Matter

Other Condensed Matter

5 pages, 4 figures

Scientific paper

10.1103/PhysRevA.79.012707

We show that the convergence behavior of the many-body numerical diagonalization scheme for strongly interacting bosons in a trap can be significantly improved by the Lee-Suzuki method adapted from nuclear physics: One can construct an effective interaction that acts in a space much smaller than the original Hilbert space. In particular for short-ranged forces and strong correlations, the method offers a good estimate of the energy and the excitation spectrum, at a computational cost several orders of magnitude smaller than that required by the standard method.

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