6533b860fe1ef96bd12c39dc

RESEARCH PRODUCT

Complete spectrum and scalar products for the open spin-1/2 XXZ quantum chains with non-diagonal boundary terms

Nikolai KitanineS FaldellaGiuliano Niccoli

subject

Statistics and ProbabilityPhysicsHigh Energy Physics - TheoryStatistical Mechanics (cond-mat.stat-mech)Nonlinear Sciences - Exactly Solvable and Integrable Systems010308 nuclear & particles physicsDiagonalScalar (mathematics)Separation of variablesFOS: Physical sciencesStatistical and Nonlinear PhysicsMathematical Physics (math-ph)01 natural sciencesQuadratic equationNonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)0103 physical sciencesExactly Solvable and Integrable Systems (nlin.SI)Statistics Probability and Uncertainty010306 general physicsQuantumEigenvalues and eigenvectorsMathematical PhysicsCondensed Matter - Statistical MechanicsMathematical physics

description

We use the quantum separation of variable (SOV) method to construct the eigenstates of the open XXZ chain with the most general boundary terms. The eigenstates in the inhomogeneous case are constructed in terms of solutions of a system of quadratic equations. This SOV representation permits us to compute scalar products and can be used to calculate form factors and correlation functions.

10.1088/1742-5468/2014/01/p01011http://arxiv.org/abs/1307.3960