Operator space entanglement entropy in transverse Ising chain
Quantum Physics
2009-03-04 v3
Abstract
The efficiency of time dependent density matrix renormalization group methods is intrinsically connected with the rate of entanglement growth. We introduce a new measure of entanglement in the space of operators and show, for transverse Ising spin 1/2 chain, that the simulation of observables, contrary to simulation of typical pure quantum states, is efficient for initial local operators. For initial operators with a finite index in Majorana representation, the operator space entanglement entropy saturates with time to a level which is calculated analytically, while for initial operators with infinite index the growth of operator space entanglement entropy is shown to be logarithmic.
Cite
@article{arxiv.0706.2480,
title = {Operator space entanglement entropy in transverse Ising chain},
author = {Tomaz Prosen and Iztok Pizorn},
journal= {arXiv preprint arXiv:0706.2480},
year = {2009}
}