---
res:
bibo_abstract:
- ' We prove that the Gross-Pitaevskii equation correctly describes the ground
state energy and corresponding one-particle density matrix of rotating, dilute,
trapped Bose gases with repulsive two-body interactions. We also show that there
is 100% Bose-Einstein condensation. While a proof that the GP equation correctly
describes non-rotating or slowly rotating gases was known for some time, the rapidly
rotating case was unclear because the Bose (i.e., symmetric) ground state is not
the lowest eigenstate of the Hamiltonian in this case. We have been able to overcome
this difficulty with the aid of coherent states. Our proof also conceptually simplifies
the previous proof for the slowly rotating case. In the case of axially symmetric
traps, our results show that the appearance of quantized vortices causes spontaneous
symmetry breaking in the ground state. @eng'
bibo_authorlist:
- foaf_Person:
foaf_givenName: Élliott
foaf_name: Lieb, Élliott H
foaf_surname: Lieb
- foaf_Person:
foaf_givenName: Robert
foaf_name: Robert Seiringer
foaf_surname: Seiringer
foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87
bibo_doi: 10.1007/s00220-006-1524-9
bibo_issue: '2'
bibo_volume: 264
dct_date: 2006^xs_gYear
dct_publisher: Springer@
dct_title: Derivation of the Gross-Pitaevskii equation for rotating Bose gases@
...