Gross-Pitaevskii Theory of the Rotating Bose Gas

Details Gross-Pitaevskii Theory of the Rotating Bose Gas Gross-Pitaevskii Theory of the Rotating Bose Gas

2001-10-08

arxiv.org/abs/math-ph/0110010v2

Commun. Math. Phys. 229, 491 (2002)

Physics

Mathematical Physics

LaTeX2e, 26 pages; revised version, to appear in Commun. Math. Phys

Scientific paper

10.1007/s00220-002-0695-2

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.

Affiliated with

Also associated with

No associations

Rating

Gross-Pitaevskii Theory of the Rotating Bose Gas does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Gross-Pitaevskii Theory of the Rotating Bose Gas, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gross-Pitaevskii Theory of the Rotating Bose Gas will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-552356