Effective-interaction approach to the many-boson problem
(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:
https://lup.lub.lu.se/record/1299692
- author
- Cremon, Jonas LU ; Forssén, Christian ; Åberg, Sven LU and Reimann, Stephanie LU
- organization
- publishing date
- 2009
- 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}}, }