A new correlator in quantum spin chains
arXiv:cond-mat/0604173 · doi:10.1088/0305-4470/39/24/L01
Abstract
We propose a new correlator in one-dimensional quantum spin chains, the Emptiness Formation Probability (EFP). This is a natural generalization of the Emptiness Formation Probability (EFP), which is the probability that the first spins of the chain are all aligned downwards. In the EFP we let the spins in question be separated by sites. The usual EFP corresponds to the special case when , and taking allows us to quantify non-local correlations. We express the EFP for the anisotropic XY model in a transverse magnetic field, a system with both critical and non-critical regimes, in terms of a Toeplitz determinant. For the isotropic XY model we find that the magnetic field induces an interesting length scale.
6 pages, 1 figure
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