Overlap between usual and modified Bethe vectors
S. Belliard, N. A. Slavnov
TL;DR
This paper derives a determinant formula for the overlap between usual and modified Bethe vectors in the XXX spin chain with twists, relevant for nonequilibrium physics calculations.
Contribution
It provides a new determinant representation for overlaps involving twisted Bethe vectors under specific conditions.
Findings
Determinant representation for Bethe vector overlaps
Applicable to twisted XXX spin chains
Relevant for nonequilibrium physics calculations
Abstract
We consider the overlap of Bethe vectors of the XXX spin chain with a diagonal twist and the modified Bethe vectors with a general twist. We find a determinant representation for this overlap under one additional condition on the twist parameters. Such objects arise in the calculations of nonequilibrium physics.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.