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

Universality of many-body states in rotating Bose and Fermi systems
Universality of many-body states in rotating Bose and Fermi systems
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.
1050-2947
33615
Borgh, M.
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Koskinen, M.
959081c6-d118-43de-96f8-9d7798c5c8c9
Christensson, J.
450b78b8-fa9f-49f0-a0ff-dcf106c76d1b
Manninen, M.
fd5106ea-6562-4c78-a65a-63f64c198fcb
Reimann, S.
5bb7d83f-4f04-4439-a06b-0b8d1cfd5da2
Borgh, M.
a3c181f8-0535-46cd-bb9a-6e930a81f86e
Koskinen, M.
959081c6-d118-43de-96f8-9d7798c5c8c9
Christensson, J.
450b78b8-fa9f-49f0-a0ff-dcf106c76d1b
Manninen, M.
fd5106ea-6562-4c78-a65a-63f64c198fcb
Reimann, S.
5bb7d83f-4f04-4439-a06b-0b8d1cfd5da2

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), 33615.

Record type: Article

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.

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PhysRevA.77.033615 - Version of Record
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Published date: 14 March 2008
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 198741
URI: https://eprints.soton.ac.uk/id/eprint/198741
ISSN: 1050-2947
PURE UUID: 30238e31-6f54-4486-bdbd-8d77fc1a440a

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Date deposited: 06 Oct 2011 14:18
Last modified: 20 Oct 2017 14:06

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