Asymptotically exact trial wavefunctions for yrast states of rotating Bose gases

作者：Viefers S^*; Taillefumier M

来源：Journal of Physics B: Atomic, Molecular and Optical Physics , 2010, 43(15): 155302.

DOI：10.1088/0953-4075/43/15/155302

We revisit the composite fermion (CF) construction of the lowest angular momentum yrast states of rotating Bose gases with weak short-range interaction. For angular momenta at and below the single vortex, L <= N, the overlaps between these trial wavefunctions and the corresponding exact solutions increase with increasing system size and appear to approach unity in the thermodynamic limit. In the special case L = N, this remarkable behaviour was previously observed numerically. Here we present methods to address this point analytically and find strongly suggestive evidence in favour of similar behaviour for all L <= N. While not constituting a fully conclusive proof of the converging overlaps, our results do demonstrate a striking similarity between the analytic structure of the exact ground state wavefunctions at L <= N and that of their CF counterparts. Results are given for two different projection methods commonly used in the CF approach.

• 出版日期2010-8-14