Short distance correlators in the XXZ spin chain for arbitrary string distributions
Abstract
In this paper, we consider expectation values of local correlators in highly excited states of the spin1/2 XXZ chain. Assuming that the string hypothesis holds we formulate the following conjecture: The correlation functions can be computed using the known factorized formulae of the finite temperature situation, if the building blocks are computed via certain linear integral equations using the string densities only. We prove this statement for the nearest neighbour zz correlator for states with arbitrary string densities. Also, we check the conjecture numerically for other correlators in the finite temperature case. Our results pave the way towards the computation of the stationary values of correlators in nonequilibrium situations using the quench action approach.
 Publication:

Journal of Statistical Mechanics: Theory and Experiment
 Pub Date:
 September 2014
 DOI:
 10.1088/17425468/2014/09/P09020
 arXiv:
 arXiv:1405.0232
 Bibcode:
 2014JSMTE..09..020M
 Keywords:

 Condensed Matter  Statistical Mechanics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 15 pages, v2: minor modifications, v3: minor modifications