On exact overlaps in integrable spin chains
Yunfeng Jiang, Balázs Pozsgay
Abstract
A bstract 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.
Topics & Concepts
Bethe ansatzIntegrable systemPhysicsMathematical physicsSpin (aerodynamics)Lattice (music)Quantum mechanicsBoundary value problemBoundary (topology)Exact solutions in general relativityHeisenberg modelPeriodic boundary conditionsChain (unit)Spin modelAnsatzTheoretical physicsCentral chargeYang–Baxter equationQuantum many-body systemsAlgebraic structures and combinatorial modelsQuantum chaos and dynamical systems