arXiv:1911.08972 · Journal of Physics A Mathematical and Theoretical

Boundary emptiness formation probabilities in the six-vertex model at Δ = − 1 2

Alexi Morin-Duchesne, Christian Hagendorf, Luigi Cantini A

Published Mar 31, 2020• 6 citations

Abstract

Abstract We define a new family of overlaps C N , m for the XXZ Hamiltonian on a periodic chain of length N . These are equal to the linear sums of the groundstate components, in the canonical basis, wherein m consecutive spins are fixed to the state ↑. We define the boundary emptiness formation probabilities as the ratios C N , m / C N ,0 of these overlaps. In the associated six-vertex model, they correspond to correlation functions on a semi-infinite cylinder of perimeter N . At the combinatorial point Δ = − 1 2 , we obtain closed-form expressions in terms of simple products of ratios of integers.

DOI: 10.1088/1751-8121/ab8507

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