High-field fractional quantum Hall effect in optical lattices.
We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic le...
Príomhchruthaitheoirí: | , |
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Formáid: | Journal article |
Teanga: | English |
Foilsithe / Cruthaithe: |
2006
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_version_ | 1826305513961291776 |
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author | Palmer, R Jaksch, D |
author_facet | Palmer, R Jaksch, D |
author_sort | Palmer, R |
collection | OXFORD |
description | We consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic lengths, fractional fillings, and find unexpected sign changes in the Hall current. Finally we study methods for detecting these novel features via shot noise and Hall current measurements. |
first_indexed | 2024-03-07T06:33:59Z |
format | Journal article |
id | oxford-uuid:f6f9c1f8-00e1-4621-bab7-28839ae0b462 |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T06:33:59Z |
publishDate | 2006 |
record_format | dspace |
spelling | oxford-uuid:f6f9c1f8-00e1-4621-bab7-28839ae0b4622022-03-27T12:39:06ZHigh-field fractional quantum Hall effect in optical lattices.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f6f9c1f8-00e1-4621-bab7-28839ae0b462EnglishSymplectic Elements at Oxford2006Palmer, RJaksch, DWe consider interacting bosonic atoms in an optical lattice subject to a large simulated magnetic field. We develop a model similar to a bilayer fractional quantum Hall system valid near simple rational numbers of magnetic flux quanta per lattice cell. Then we calculate its ground state, magnetic lengths, fractional fillings, and find unexpected sign changes in the Hall current. Finally we study methods for detecting these novel features via shot noise and Hall current measurements. |
spellingShingle | Palmer, R Jaksch, D High-field fractional quantum Hall effect in optical lattices. |
title | High-field fractional quantum Hall effect in optical lattices. |
title_full | High-field fractional quantum Hall effect in optical lattices. |
title_fullStr | High-field fractional quantum Hall effect in optical lattices. |
title_full_unstemmed | High-field fractional quantum Hall effect in optical lattices. |
title_short | High-field fractional quantum Hall effect in optical lattices. |
title_sort | high field fractional quantum hall effect in optical lattices |
work_keys_str_mv | AT palmerr highfieldfractionalquantumhalleffectinopticallattices AT jakschd highfieldfractionalquantumhalleffectinopticallattices |