Searcharxiv⌕ Search

arXiv subjects

K. K. Kozlowski

Publications and source records attributed to K. K. Kozlowski.

38 records · Page 3Linked to original sources

On the emptiness formation probability of the open XXZ spin-$\tf{1}{2}$ chain

This paper is devoted to the study of the emptiness formation probability $τ\pa{m}$ of the open XXZ chain. We derive a closed form for $τ\pa{m}$ at $Δ=\tf{1}{2}$ when the boundary field vanishes. Moreover we obtain its leading asymptotics for an arbitrary boundary field at the free fermion point. Finally, we compute the first term of the asymptotics of $\ln\pa{τ\pa{m}}$ in the whole massless regime $-1<Δ<1$.

hep-th↗

Correlation functions of the open XXZ chain I

We consider the XXZ spin chain with diagonal boundary conditions in the framework of algebraic Bethe Ansatz. Using the explicit computation of the scalar products of Bethe states and a revisited version of the bulk inverse problem, we calculate the elementary building blocks for the correlation functions. In the limit of half-infinite chain, they are obtained as multiple integrals of usual functions, similar to the case of periodic boundary conditions.

hep-th↗