2006/04/06 by J. P. Keating, Jon P Keating, Francesco Mezzadri +3
Mathematics · Physics and Astronomy · #Quantum many-body systems #Spectroscopy and Quantum Chemical Studies #Theoretical and Computational Physics #cond-mat.str-el #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/39/24/l01
published as J. Phys. A 39, L389 (2006) · 6 pages, 1 figure
arxiv created 2006/04/06 · openalex publication_date 2006/05/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We propose a new correlator in one-dimensional quantum spin chains, the s -emptiness formation probability ( s -EFP). This is a generalization of the emptiness formation probability (EFP), which is the probability that the first n spins of the chain are all aligned downwards. In the s -EFP we let the spins in question be separated by s sites. The usual EFP corresponds to the special case when s = 1. Taking s > 1 allows us to quantify non-local correlations. We express the s -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.