{"id":111222,"date":"2011-03-10T00:00:00","date_gmt":"2011-03-10T00:00:00","guid":{"rendered":"https:\/\/www.deberes.net\/tesis\/sin-categoria\/ultracold-gases-in-non-abelian-synthetic-gauge-fields\/"},"modified":"2011-03-10T00:00:00","modified_gmt":"2011-03-10T00:00:00","slug":"ultracold-gases-in-non-abelian-synthetic-gauge-fields","status":"publish","type":"post","link":"https:\/\/www.deberes.net\/tesis\/fisica\/ultracold-gases-in-non-abelian-synthetic-gauge-fields\/","title":{"rendered":"Ultracold gases in non-abelian synthetic gauge fields"},"content":{"rendered":"<h2>Tesis doctoral de <strong> Anna Kubasiak <\/strong><\/h2>\n<p>El objetivo de esta tesis se encuentra en el area de campos de gauge abelianos y no abelianos, los que pueden ser simulados eficientemente en sistemas at\u00f3micos ultrafr\u00edos. Estos campos ex\u00f3ticos y su impacto sobre part\u00edculas fermi\u00f3nicas son estudiados en el contexto de sistemas bidimensionales, principalmente en optical lattices que tambi\u00e9n est\u00e1n disponibles con t\u00e9cnicas experimentales actuales. El comportamiento de una part\u00edcula bajo la influencia de semejantes campos no abelianos es contrastado con el caso est\u00e1ndar de campo magn\u00e9tico homog\u00e9neio. Su espectro y las propiedades de transporte dtal como el efecto hall cu\u00e1ntico son investigados. Se entregan tambi\u00e9n las conidiones de las bandas de energ\u00eda para formar gaps tipo hofstadter-butterfly en un campo no abeliano. Nosotros mostramos que mientras el loop de wilson para el campo es constante, su caracter no abeliano no destruye los gaps grandes, permitiendo entonces el efecto hall cu\u00e1ntico \u00edntegro (iqhe). Una familia nueva de espectros butterfly es encontrada y el iqhe modificado es calculado mediante el suo de n\u00fameros chern. Luego, el espectro del sistema es estudiado en detalle y se demuestra que puede exhibir anomal\u00edas, por ejemplo , conos de dirac. Las excitaciones elementales de un sistema con semejante espectro son fermions sin masa viajando con una velocidad d ela luz modificada de manera similar a los fermiones majorana en el grafeno descrito por la ecuaci\u00f3n de dirac. Posteriormente, nosotros mostramos que en el caso de campos de gauge no abelianos sint\u00e9ticos estos conos pueden ser comprimidos y la velocidad de la luz depende entonces de la direcci\u00f3n. Bajo estas condiciones de comprensi\u00f3n las interacciones son consideradas y se da el primer paso hacia el an\u00e1lisis del efecto hall cu\u00e1ntico fraccional en presencia de un campo no abeliano. La matriz de elementos de la matriz de interacci\u00f3n es calculada anal\u00edticamente.<\/p>\n<p>&nbsp;<\/p>\n<h3>Datos acad\u00e9micos de la tesis doctoral \u00ab<strong>Ultracold gases in non-abelian synthetic gauge fields<\/strong>\u00ab<\/h3>\n<ul>\n<li><strong>T\u00edtulo de la tesis:<\/strong>\u00a0 Ultracold gases in non-abelian synthetic gauge fields <\/li>\n<li><strong>Autor:<\/strong>\u00a0 Anna Kubasiak <\/li>\n<li><strong>Universidad:<\/strong>\u00a0 Polit\u00e9cnica de catalunya<\/li>\n<li><strong>Fecha de lectura de la tesis:<\/strong>\u00a0 03\/10\/2011<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h3>Direcci\u00f3n y tribunal<\/h3>\n<ul>\n<li><strong>Director de la tesis<\/strong>\n<ul>\n<li>Maciej Lewenstein<\/li>\n<\/ul>\n<\/li>\n<li><strong>Tribunal<\/strong>\n<ul>\n<li>Presidente del tribunal: gediminas Juzeliunas juzeliunas <\/li>\n<li>kenneth G\u00ed\u00bcnter g\u00ed\u00bcnter (vocal)<\/li>\n<li>  (vocal)<\/li>\n<li>  (vocal)<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tesis doctoral de Anna Kubasiak El objetivo de esta tesis se encuentra en el area de campos de gauge abelianos [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center 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