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

Borgh, M. ORCID: https://orcid.org/0000-0003-4243-7051, Koskinen, M., Christensson, J., Manninen, M. and Reimann, S. M. (2008) Universality of many-body states in rotating Bose and Fermi systems. Physical Review A - Atomic, Molecular, and Optical Physics, 77 (3). ISSN 1050-2947

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Abstract

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
Uncontrolled Keywords: atomic and molecular physics, and optics ,/dk/atira/pure/subjectarea/asjc/3100/3107
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Depositing User: LivePure Connector
Date Deposited: 01 Aug 2022 09:30
Last Modified: 23 Oct 2022 04:06
URI: https://ueaeprints.uea.ac.uk/id/eprint/87012
DOI: 10.1103/PhysRevA.77.033615

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