 01353 Robert Seiringer
 GrossPitaevskii Theory of the Rotating Bose Gas
(53K, LaTeX2e)
Oct 7, 01

Abstract ,
Paper (src),
View paper
(auto. generated ps),
Index
of related papers

Abstract. We study the GrossPitaevskii functional for a rotating
twodimensional 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 nontrivially 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.
 Files:
01353.src(
01353.keywords ,
gprot.tex )