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Vortices in Bose-Einstein condensates: Finite-size effects and the thermodynamic limit

Cremon, Jonas LU ; Kavoulakis, G. M. ; Mottelson, B. R. and Reimann, Stephanie LU (2013) In Physical Review A (Atomic, Molecular and Optical Physics) 87(5).
Abstract
For a weakly interacting Bose gas rotating in a harmonic trap we relate the yrast states of small systems (that can be treated exactly) to the thermodynamic limit (derived within the mean-field approximation). For a few dozens of atoms, the yrast line shows distinct quasiperiodic oscillations with increasing angular momentum that originate from the internal structure of the exact many-body states. These finite-size effects disappear in the thermodynamic limit, where the Gross-Pitaevskii approximation provides the exact energy to leading order in the number of particles N. However, the exact yrast states reveal significant structure not captured by the mean-field approximation: Even in the limit of large N, the corresponding mean-field... (More)
For a weakly interacting Bose gas rotating in a harmonic trap we relate the yrast states of small systems (that can be treated exactly) to the thermodynamic limit (derived within the mean-field approximation). For a few dozens of atoms, the yrast line shows distinct quasiperiodic oscillations with increasing angular momentum that originate from the internal structure of the exact many-body states. These finite-size effects disappear in the thermodynamic limit, where the Gross-Pitaevskii approximation provides the exact energy to leading order in the number of particles N. However, the exact yrast states reveal significant structure not captured by the mean-field approximation: Even in the limit of large N, the corresponding mean-field solution accounts for only a fraction of the total weight of the exact quantum state. (Less)
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organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review A (Atomic, Molecular and Optical Physics)
volume
87
issue
5
article number
053615
publisher
American Physical Society
external identifiers
  • wos:000319279700007
  • scopus:84878518359
ISSN
1050-2947
DOI
10.1103/PhysRevA.87.053615
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
020e57fe-cab0-4602-b4da-f32388551603 (old id 3931119)
date added to LUP
2016-04-01 10:27:13
date last changed
2020-11-22 05:22:35
@article{020e57fe-cab0-4602-b4da-f32388551603,
  abstract     = {For a weakly interacting Bose gas rotating in a harmonic trap we relate the yrast states of small systems (that can be treated exactly) to the thermodynamic limit (derived within the mean-field approximation). For a few dozens of atoms, the yrast line shows distinct quasiperiodic oscillations with increasing angular momentum that originate from the internal structure of the exact many-body states. These finite-size effects disappear in the thermodynamic limit, where the Gross-Pitaevskii approximation provides the exact energy to leading order in the number of particles N. However, the exact yrast states reveal significant structure not captured by the mean-field approximation: Even in the limit of large N, the corresponding mean-field solution accounts for only a fraction of the total weight of the exact quantum state.},
  author       = {Cremon, Jonas and Kavoulakis, G. M. and Mottelson, B. R. and Reimann, Stephanie},
  issn         = {1050-2947},
  language     = {eng},
  number       = {5},
  publisher    = {American Physical Society},
  series       = {Physical Review A (Atomic, Molecular and Optical Physics)},
  title        = {Vortices in Bose-Einstein condensates: Finite-size effects and the thermodynamic limit},
  url          = {http://dx.doi.org/10.1103/PhysRevA.87.053615},
  doi          = {10.1103/PhysRevA.87.053615},
  volume       = {87},
  year         = {2013},
}