English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this first paper, we start the analysis of correlation functions ofquantum spin chains with general integrable boundary conditions. We initiatethese computations for the open XXX spin 1/2 quantum chains with someunparallel magnetic fields allowing for a spectrum characterization in terms ofhomogeneous Baxter like TQ-equations, in the framework of the quantumseparation of variables (SoV). Previous SoV analysis leads to the formula forthe scalar products of the so-called separate states. Here, we solve theremaining fundamental steps allowing for the computation of correlationfunctions. In particular, we rederive the ground state density in thethermodynamic limit thanks to SoV approach, we compute the so-calledboundary-bulk decomposition of boundary separate states and the action of localoperators on these separate states in the case of unparallel boundary magneticfields. These findings allow us to derive multiple integral formulae for thesecorrelation functions similar to those previously known for the open XXXquantum spin chain with parallel magnetic fields.

Correlation functions for open XXX spin 1/2 quantum chains with unparallel boundary magnetic fields