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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Main Author: M C Gordillo
Format: Article
Language:English
Published: IOP Publishing 2019-01-01
Series:New Journal of Physics
Subjects:
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.
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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