Work

On exact overlaps in integrable spin chains

Year: 2020

Type: article

Abstract: We compute the exact overlaps between integrable boundary states and on-shell Bethe states for integrable spin chains. Our method is based on the coordinate Bethe Ansatz and does not rely on the “rotation trick” of the corresponding lattice model. It leads to a rigorous proof of the factorized overlap formulae in a number of cases, some of which were hitherto inaccessible to earlier methods. As concrete examples, we consider the compact XXX and XXZ Heisenberg spin chains, and the non-compact SL(2, ℝ) spin chain.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep06(2020)022

Authors: Yunfeng Jiang, Balázs Pozsgay

Institutions: European Organization for Nuclear Research, Budapest University of Technology and Economics

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: Magyar Tudományos Akadémia, Nemzeti Kutatási Fejlesztési és Innovációs Hivatal, Innovációs és Technológiai Minisztérium

Awards: G4362504702, G6095686661, G7663416532, G8260230800, G8623883182