We consider the problem of computing the overlaps between the Bethe states of the XXZ spin-1/2 chain and generic states. We derive recursive formulas for the overlaps between some simple product states and off-shell Bethe states within the framework of the algebraic Bethe ansatz. These recursive formulas can be used to prove in a simple and straightforward way the recently obtained results for the overlaps of the Bethe states with the Neel state, the dimer state, and the q-deformed dimer state. However, these recursive formulas are derived for a broader class of states and represent a concrete starting point for the computation of rather general overlaps. Our approach can be easily extended to other one-dimensional Bethe ansatz integrable models.
|Titolo:||Recursive formulas for the overlaps between Bethe states and product states in XXZ Heisenberg chains|
|Autori:||Piroli L.; Calabrese P.|
|Rivista:||JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL|
|Data di pubblicazione:||2014|
|Digital Object Identifier (DOI):||10.1088/1751-8113/47/38/385003|
|Appare nelle tipologie:||1.1 Journal article|