The Intrinsic Difficulties of Constructing Strongly Correlated States of Lattice Quantum Gases by Connecting Up Pre-engineered Isolated Atomic Clusters

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dc.creatorHo, Tin-Lun
dc.date2008-08-20
dc.date.accessioned2026-07-07T09:57:28Z
dc.date.available2026-07-07T09:57:28Z
dc.descriptionSuppose one engineers an artificial antiferromagnet on an array of {\em isolated} wells, and then increases the tunneling between wells slowly, will the system finally become an {\em equilibrium} antiferromagnet? Here, we show that due to the intrinsic non-adiabaticity at the start of this process, and that the atoms in the initial state in different wells are completely uncorrelated, the final equilibrium state will have a temperature $T_{f}$ far above the Neel temperature. Constructing other strongly correlated states (with characteristic energy per particle $E^{\ast}$ comparable to the hopping or the virtual hopping scale) with the same method will suffer the same problem, i.e. $T_{f}>>E^{\ast}$.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0808.2677
dc.identifierhttp://arxiv.org/abs/0808.2677
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167355
dc.subjectOther Condensed Matter
dc.titleThe Intrinsic Difficulties of Constructing Strongly Correlated States of Lattice Quantum Gases by Connecting Up Pre-engineered Isolated Atomic Clusters
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