One-dimensional SU(N) clusters of fermions in optical lattices
The behaviour of fermion clusters with SU( N ) symmetry loaded in one-dimensional optical lattices and described by continuous Hamiltonians was studied using a diffusion Monte Carlo (DMC) technique. The state diagrams of SU(6) and SU(2) arrangements with the same number of particles were calculated...
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Format: | Article |
Language: | English |
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IOP Publishing
2019-01-01
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Series: | New Journal of Physics |
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Online Access: | https://doi.org/10.1088/1367-2630/ab4725 |
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author | M C Gordillo |
author_facet | M C Gordillo |
author_sort | M C Gordillo |
collection | DOAJ |
description | The behaviour of fermion clusters with SU( N ) symmetry loaded in one-dimensional optical lattices and described by continuous Hamiltonians was studied using a diffusion Monte Carlo (DMC) technique. The state diagrams of SU(6) and SU(2) arrangements with the same number of particles were calculated and found virtually identical. The only difference was the absence of a band insulator in the SU( N ) case in the range of optical lattice depths considered ( V _0 = 0–12 E _R ; E _R , recoil energy of the lattice) in the non-interacting limit for N > 2. The appearance of that state was signalled by a noticeable change in the shape of the momentum distributions in going from a metal to a band insulator. |
first_indexed | 2024-03-12T16:33:33Z |
format | Article |
id | doaj.art-7e681f12b3764fe28495217aca04b615 |
institution | Directory Open Access Journal |
issn | 1367-2630 |
language | English |
last_indexed | 2024-03-12T16:33:33Z |
publishDate | 2019-01-01 |
publisher | IOP Publishing |
record_format | Article |
series | New Journal of Physics |
spelling | doaj.art-7e681f12b3764fe28495217aca04b6152023-08-08T15:24:01ZengIOP PublishingNew Journal of Physics1367-26302019-01-01211010302010.1088/1367-2630/ab4725One-dimensional SU(N) clusters of fermions in optical latticesM C Gordillo0https://orcid.org/0000-0003-1521-483XDepartamento de Sistemas Físicos Químicos y Naturales, Universidad Pablo de Olavide . E-41013 Sevilla, SpainThe behaviour of fermion clusters with SU( N ) symmetry loaded in one-dimensional optical lattices and described by continuous Hamiltonians was studied using a diffusion Monte Carlo (DMC) technique. The state diagrams of SU(6) and SU(2) arrangements with the same number of particles were calculated and found virtually identical. The only difference was the absence of a band insulator in the SU( N ) case in the range of optical lattice depths considered ( V _0 = 0–12 E _R ; E _R , recoil energy of the lattice) in the non-interacting limit for N > 2. The appearance of that state was signalled by a noticeable change in the shape of the momentum distributions in going from a metal to a band insulator.https://doi.org/10.1088/1367-2630/ab4725one-dimensional fermionsSU(N) cold atom gasesoptical lattices |
spellingShingle | M C Gordillo One-dimensional SU(N) clusters of fermions in optical lattices New Journal of Physics one-dimensional fermions SU(N) cold atom gases optical lattices |
title | One-dimensional SU(N) clusters of fermions in optical lattices |
title_full | One-dimensional SU(N) clusters of fermions in optical lattices |
title_fullStr | One-dimensional SU(N) clusters of fermions in optical lattices |
title_full_unstemmed | One-dimensional SU(N) clusters of fermions in optical lattices |
title_short | One-dimensional SU(N) clusters of fermions in optical lattices |
title_sort | one dimensional su n clusters of fermions in optical lattices |
topic | one-dimensional fermions SU(N) cold atom gases optical lattices |
url | https://doi.org/10.1088/1367-2630/ab4725 |
work_keys_str_mv | AT mcgordillo onedimensionalsunclustersoffermionsinopticallattices |