Vortices in Bose-Einstein condensates: Finite-size effects and the thermodynamic limit
(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)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3931119
- author
- Cremon, Jonas LU ; Kavoulakis, G. M. ; Mottelson, B. R. and Reimann, Stephanie LU
- organization
- publishing date
- 2013
- 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
- 2023-08-31 03:18:21
@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}}, }