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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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author
; ; and
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
2025-04-04 13:58:28
@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}},
}