{"id":337,"date":"2011-04-01T14:26:03","date_gmt":"2011-04-01T14:26:03","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/strongcorrelations\/?p=337"},"modified":"2011-04-01T14:29:28","modified_gmt":"2011-04-01T14:29:28","slug":"double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/","title":{"rendered":"Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices"},"content":{"rendered":"<ul class=\"kent-social-links\"><li><a href='http:\/\/www.facebook.com\/sharer.php?u=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/&amp;t=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices' target='_blank'><i class='ksocial-facebook' title='Share via Facebook'><\/i><\/a><\/li><li><a href='http:\/\/twitter.com\/home?status=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices%20https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/' target='_blank'><i class='ksocial-twitter' title='Share via Twitter'><\/i><\/a><\/li><li><a href='https:\/\/plus.google.com\/share?url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/' target='_blank'><i class='ksocial-google-plus' title='Share via Google Plus'><\/i><\/a><\/li><li><a href='http:\/\/linkedin.com\/shareArticle?mini=true&amp;url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/&amp;title=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices' target='_blank'><i class='ksocial-linkedin' title='Share via Linked In'><\/i><\/a><\/li><li><a href='mailto:content=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/&amp;title=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices' target='_blank'><i class='ksocial-email' title='Share via Email'><\/i><\/a><\/li><\/ul><p>Asbtract of <a href=\"http:\/\/meeting.aps.org\/Meeting\/MAR11\/Event\/138325\">contributed talk<\/a> at the APS March Meeting, Dallas, 2011:<\/p>\n<blockquote><p><span>Jorge Quintanilla<\/span> <span>, Vivaldo L. Campo, Jr<\/span> <span>, Vito Scarola<\/span> <span>, Chris Hooley<\/span> <span>, Klaus Capelle<\/span><\/p>\n<p>We study theoretically double occupancy D as a probe of  the Mott transition  for trapped fermions in one-dimensional optical  lattices and compare our  results to the three-dimensional case. The  ground state is described using  the Bethe Ansatz in a local density  approximation and the behavior at finite  temperatures is modelled using  a high-temperature series expansion. In  addition, we solve  analytically the model in the limit in which the  interaction energy is  the dominant energy scale. We find that enhanced  quantum fluctuations  in one dimension lead to increased double occupancy in  the ground  state, even deep in the Mott insulator region of the phase  diagram.  Similarly, thermal fluctuations lead to high double occupancies at  high  temperatures. Nevertheless, D is found to be a good indicator of the   Mott transition just as in three dimensions. We discuss possible  experiments  to verify these results and argue that the one-dimensional  Hubbard model  could be used as a benchmark for quantitative quantum  analogue simulations.<\/p><\/blockquote>\n<ul class=\"kent-social-links\"><li><a href='http:\/\/www.facebook.com\/sharer.php?u=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/&amp;t=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices' target='_blank'><i class='ksocial-facebook' title='Share via Facebook'><\/i><\/a><\/li><li><a href='http:\/\/twitter.com\/home?status=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices%20https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/' target='_blank'><i class='ksocial-twitter' title='Share via Twitter'><\/i><\/a><\/li><li><a href='https:\/\/plus.google.com\/share?url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/' target='_blank'><i class='ksocial-google-plus' title='Share via Google Plus'><\/i><\/a><\/li><li><a href='http:\/\/linkedin.com\/shareArticle?mini=true&amp;url=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/&amp;title=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices' target='_blank'><i class='ksocial-linkedin' title='Share via Linked In'><\/i><\/a><\/li><li><a href='mailto:content=https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/&amp;title=Double occupancy as a probe of the Mott transition for fermions in one-dimensional optical lattices' target='_blank'><i class='ksocial-email' title='Share via Email'><\/i><\/a><\/li><\/ul>","protected":false},"excerpt":{"rendered":"<p>Asbtract of contributed talk at the APS March Meeting, Dallas, 2011: Jorge Quintanilla , Vivaldo L. Campo, Jr , Vito Scarola , Chris Hooley , &hellip; <a href=\"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/2011\/04\/01\/double-occupancy-as-a-probe-of-the-mott-transition-for-fermions-in-one-dimensional-optical-lattices\/\">Read&nbsp;more<\/a><\/p>\n","protected":false},"author":976,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1314],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts\/337"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/users\/976"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/comments?post=337"}],"version-history":[{"count":3,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts\/337\/revisions"}],"predecessor-version":[{"id":340,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/posts\/337\/revisions\/340"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/media?parent=337"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/categories?post=337"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/strongcorrelations\/wp-json\/wp\/v2\/tags?post=337"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}