Vortices in BoseEinstein condensates: Finitesize 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 meanfield 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 manybody states. These finitesize effects disappear in the thermodynamic limit, where the GrossPitaevskii 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 meanfield approximation: Even in the limit of large N, the corresponding meanfield... (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 meanfield 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 manybody states. These finitesize effects disappear in the thermodynamic limit, where the GrossPitaevskii 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 meanfield approximation: Even in the limit of large N, the corresponding meanfield 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
 10502947
 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
 020e57fecab04602b4daf32388551603 (old id 3931119)
 date added to LUP
 20160401 10:27:13
 date last changed
 20201122 05:22:35
@article{020e57fecab04602b4daf32388551603, 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 meanfield 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 manybody states. These finitesize effects disappear in the thermodynamic limit, where the GrossPitaevskii 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 meanfield approximation: Even in the limit of large N, the corresponding meanfield 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 = {10502947}, language = {eng}, number = {5}, publisher = {American Physical Society}, series = {Physical Review A (Atomic, Molecular and Optical Physics)}, title = {Vortices in BoseEinstein condensates: Finitesize 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}, }