Gross-Pitaevskii theory of the rotating Bose gas Journal Article

Author(s): Seiringer, Robert
Article Title: Gross-Pitaevskii theory of the rotating Bose gas
Abstract: We study the Gross-Pitaevskii functional for a rotating two-dimensional Bose gas in a trap. We prove that there is a breaking of the rotational symmetry in the ground state; more precisely, for any value of the angular velocity and for large enough values of the interaction strength, the ground state of the functional is not an eigenfunction of the angular momentum. This has interesting consequences on the Bose gas with spin; in particular, the ground state energy depends non-trivially on the number of spin components, and the different components do not have the same wave function. For the special case of a harmonic trap potential, we give explicit upper and lower bounds on the critical coupling constant for symmetry breaking.
Journal Title: Communications in Mathematical Physics
Volume: 229
Issue 3
ISSN: 1432-0916
Publisher: Springer  
Date Published: 2002-09-01
Start Page: 491
End Page: 509
DOI: 10.1007/s00220-002-0695-2
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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