Universality of Many-Body States in Rotating Bose and Fermi Systems

Details Universality of Many-Body States in Rotating Bose and Fermi Systems Universality of Many-Body States in Rotating Bose and Fermi Systems

2008-01-07

arxiv.org/abs/0801.0966v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 9 figures

Scientific paper

10.1103/PhysRevA.77.033615

We propose a universal transformation from a many-boson state to a corresponding many-fermion state in the lowest Landau level approximation of rotating many-body systems, inspired by the Laughlin wave function and by the Jain composite-fermion construction. We employ the exact-diagonalization technique for finding the many-body states. The overlap between the transformed boson ground state and the true fermion ground state is calculated in order to measure the quality of the transformation. For very small and high angular momenta, the overlap is typically above 90%. For intermediate angular momenta, mixing between states complicates the picture and leads to small ground-state overlaps at some angular momenta.

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