Universality of many-body states in rotating Bose and Fermi systems

Borgh, M., Koskinen, M., Christensson, J., Manninen, M. and Reimann, S. (2008) Universality of many-body states in rotating Bose and Fermi systems. Physical Review A, 77, (3), 033615. (doi:10.1103/PhysRevA.77.033615).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1103/PhysRevA.77.033615
ISSNs: 1050-2947 (print)
1094-1622 (electronic)
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
Divisions : Faculty of Social and Human Sciences > Mathematical Sciences > Applied Mathematics
ePrint ID: 198741
Accepted Date and Publication Date:
14 March 2008Published
Date Deposited: 06 Oct 2011 14:18
Last Modified: 31 Mar 2016 13:44
URI: http://eprints.soton.ac.uk/id/eprint/198741

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