Spatial noise correlations of a chain of ultracold fermions - A numerical study

dc.creatorLuscher, Andreas
dc.creatorLaeuchli, Andreas
dc.creatorNoack, Reinhard M.
dc.date2007-03-13
dc.date2007-10-29
dc.date.accessioned2026-07-07T08:38:55Z
dc.date.available2026-07-07T08:38:55Z
dc.descriptionWe present a numerical study of noise correlations, i.e., density-density correlations in momentum space, in the extended fermionic Hubbard model in one dimension. In experiments with ultracold atoms, these noise correlations can be extracted from time-of-flight images of the expanding cloud. Using the density-matrix renormalization group method to investigate the Hubbard model at various fillings and interactions, we confirm that the shot noise contains full information on the correlations present in the system. We point out the importance of the sum rules fulfilled by the noise correlations and show that they yield nonsingular structures beyond the predictions of bosonization approaches. Noise correlations can thus serve as a universal probe of order and can be used to characterize the many-body states of cold atoms in optical lattices.
dc.description12 pages, 7 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0703346
dc.identifierhttp://arxiv.org/abs/cond-mat/0703346
dc.identifierPhys. Rev. A 76, 043614 (2007)
dc.identifierdoi:10.1103/PhysRevA.76.043614
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140902
dc.subjectStrongly Correlated Electrons
dc.titleSpatial noise correlations of a chain of ultracold fermions - A numerical study
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