Work

Exact Overlaps for All Integrable Matrix Product States of Rational Spin Chains

Year: 2025

Type: article

Abstract: The overlaps between integrable matrix product states (MPSs) and Bethe states are important in both the nonequilibrium statistical physics and the AdS/CFT duality. We present the general MPS overlap formula. The result is a product of a ratio of Gaudin determinants and a prefactor. The Gaudin determinants depend on the spin chain but not on the MPS. The MPS dependent prefactor is given for all integrable MPSs of the gl_{N}, o_{N}, and sp_{N} symmetric spin chains with arbitrary representations.

Source: Physical Review Letters

DOI: 10.1103/4vy2-8cnk

Author: Tamas Gombor

Institutions: Eötvös Loránd University, HUN-REN Wigner Research Centre for Physics

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

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