Quantum effects in one-dimensional optical flat-band lattices

I numerically simulated one-dimensional lattice systems describable by the Hubbard-model and containing a flat-band. I studied the manner in which particles initially held in place by a parabolic confinement potential are dispersed across the lattice after the potential is removed. I also studied...

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Päätekijä: Hyrkäs, Markku
Muut tekijät: Matemaattis-luonnontieteellinen tiedekunta, Faculty of Sciences, Fysiikan laitos, Department of Physics, University of Jyväskylä, Jyväskylän yliopisto
Aineistotyyppi: Pro gradu
Kieli:eng
Julkaistu: 2011
Aiheet:
Linkit: https://jyx.jyu.fi/handle/123456789/36983
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author Hyrkäs, Markku
author2 Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
author_facet Hyrkäs, Markku Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto Hyrkäs, Markku Matemaattis-luonnontieteellinen tiedekunta Faculty of Sciences Fysiikan laitos Department of Physics University of Jyväskylä Jyväskylän yliopisto
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description I numerically simulated one-dimensional lattice systems describable by the Hubbard-model and containing a flat-band. I studied the manner in which particles initially held in place by a parabolic confinement potential are dispersed across the lattice after the potential is removed. I also studied currents flowing within one-dimensional Hubbard-rings. In both of these cases I observed that the flat dispersion relation of the flat-band manifests itself as the immobility of the particles occupying it. Particles occupying flat-band states do not disperse even after the removal of any external confinement, neither do they contribute to a current within a ring.
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I studied the manner in which\r\nparticles initially held in place by a parabolic confinement potential are dispersed across the lattice after the potential is removed. I also studied currents flowing within one-dimensional Hubbard-rings. In both of these cases I observed that the flat dispersion relation of the flat-band manifests itself as the immobility of the particles occupying it. Particles occupying flat-band states\r\ndo not disperse even after the removal of any external confinement, neither\r\ndo they contribute to a current within a ring.", "language": "", "element": "description", "qualifier": "abstract", "schema": "dc"}, {"key": "dc.description.provenance", "value": "Submitted using Plone Publishing form by Markku Hyrk\u00e4s (majohyrk) on 2011-11-22 21:59:13.523395. Form: Pro gradu -lomake (1 tekij\u00e4) (https://kirjasto.jyu.fi/julkaisut/julkaisulomakkeet/pro-gradu-lomake-1-tekijae). 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spellingShingle Hyrkäs, Markku Quantum effects in one-dimensional optical flat-band lattices optical lattice hilat Hubbard model Fysiikka Physics 4021 simulointi laserit
title Quantum effects in one-dimensional optical flat-band lattices
title_full Quantum effects in one-dimensional optical flat-band lattices
title_fullStr Quantum effects in one-dimensional optical flat-band lattices Quantum effects in one-dimensional optical flat-band lattices
title_full_unstemmed Quantum effects in one-dimensional optical flat-band lattices Quantum effects in one-dimensional optical flat-band lattices
title_short Quantum effects in one-dimensional optical flat-band lattices
title_sort quantum effects in one dimensional optical flat band lattices
title_txtP Quantum effects in one-dimensional optical flat-band lattices
topic optical lattice hilat Hubbard model Fysiikka Physics 4021 simulointi laserit
topic_facet 4021 Fysiikka Hubbard model Physics hilat laserit optical lattice simulointi
url https://jyx.jyu.fi/handle/123456789/36983 http://www.urn.fi/URN:NBN:fi:jyu-2011112211716
work_keys_str_mv AT hyrkäsmarkku quantumeffectsinonedimensionalopticalflatbandlattices