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Effective-interaction approach to the many-boson problem

Cremon, Jonas LU ; Forssén, Christian; Åberg, Sven LU and Reimann, Stephanie LU (2009) In Physical Review A (Atomic, Molecular and Optical Physics) 79(1). p.1-012707
Abstract
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.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
boson systems, convergence of numerical methods
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
79
issue
1
pages
1 - 012707
publisher
American Physical Society (APS)
external identifiers
  • wos:000262979000088
  • scopus:59449095929
ISSN
1050-2947
DOI
10.1103/PhysRevA.79.012707
language
English
LU publication?
yes
id
77ce9c50-623a-4e4d-8a90-939a64609d11 (old id 1299692)
alternative location
http://link.aps.org/doi/10.1103/PhysRevA.79.012707
date added to LUP
2009-02-18 11:34:15
date last changed
2017-10-29 03:32:36
@article{77ce9c50-623a-4e4d-8a90-939a64609d11,
  abstract     = {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.},
  author       = {Cremon, Jonas and Forssén, Christian and Åberg, Sven and Reimann, Stephanie},
  issn         = {1050-2947},
  keyword      = {boson systems,convergence of numerical methods},
  language     = {eng},
  number       = {1},
  pages        = {1--012707},
  publisher    = {American Physical Society (APS)},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {Effective-interaction approach to the many-boson problem},
  url          = {http://dx.doi.org/10.1103/PhysRevA.79.012707},
  volume       = {79},
  year         = {2009},
}