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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.
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author
; ; and
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
external identifiers
  • wos:000262979000088
  • scopus:59449095929
ISSN
1050-2947
DOI
10.1103/PhysRevA.79.012707
language
English
LU publication?
yes
additional info
The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Mathematical Physics (Faculty of Technology) (011040002)
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
2016-04-01 11:59:11
date last changed
2022-03-28 18:33:59
@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}},
  keywords     = {{boson systems; convergence of numerical methods}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{1--012707}},
  publisher    = {{American Physical Society}},
  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}},
  doi          = {{10.1103/PhysRevA.79.012707}},
  volume       = {{79}},
  year         = {{2009}},
}