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Universality of many-body states in rotating Bose and Fermi systems

Borgh, Magnus LU ; Koskinen, M. ; Cremon, Jonas LU ; Manninen, M. and Reimann, Stephanie LU (2008) In Physical Review A (Atomic, Molecular and Optical Physics) 77(3).
Abstract
We propose a universal transformation from a many-boson state to a corresponding many-fermion state in the lowest-Landau-level approximation of rotating many-body systems, inspired by the Laughlin wave function and by the Jain composite-fermion construction. We employ the exact-diagonalization technique for finding the many-body states. The overlap between the transformed boson ground state and the true fermion ground state is calculated in order to measure the quality of the transformation. For very small and high angular momenta, the overlap is typically above 90%. For intermediate angular momenta, mixing between states complicates the picture and leads to small ground-state overlaps at some angular momenta.
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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
77
issue
3
article number
033615
publisher
American Physical Society
external identifiers
  • wos:000254541100179
  • scopus:40949084294
ISSN
1050-2947
DOI
10.1103/PhysRevA.77.033615
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
dd356717-2c89-41d0-a82c-b16a40dd802c (old id 1207382)
date added to LUP
2016-04-01 11:51:23
date last changed
2022-03-20 19:55:32
@article{dd356717-2c89-41d0-a82c-b16a40dd802c,
  abstract     = {{We propose a universal transformation from a many-boson state to a corresponding many-fermion state in the lowest-Landau-level approximation of rotating many-body systems, inspired by the Laughlin wave function and by the Jain composite-fermion construction. We employ the exact-diagonalization technique for finding the many-body states. The overlap between the transformed boson ground state and the true fermion ground state is calculated in order to measure the quality of the transformation. For very small and high angular momenta, the overlap is typically above 90%. For intermediate angular momenta, mixing between states complicates the picture and leads to small ground-state overlaps at some angular momenta.}},
  author       = {{Borgh, Magnus and Koskinen, M. and Cremon, Jonas and Manninen, M. and Reimann, Stephanie}},
  issn         = {{1050-2947}},
  language     = {{eng}},
  number       = {{3}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review A (Atomic, Molecular and Optical Physics)}},
  title        = {{Universality of many-body states in rotating Bose and Fermi systems}},
  url          = {{http://dx.doi.org/10.1103/PhysRevA.77.033615}},
  doi          = {{10.1103/PhysRevA.77.033615}},
  volume       = {{77}},
  year         = {{2008}},
}