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

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

2007-03-13

arxiv.org/abs/cond-mat/0703346v2

Phys. Rev. A 76, 043614 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 7 figures

Scientific paper

10.1103/PhysRevA.76.043614

We 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.

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