Spin-spin correlators in Majorana representation
Mesoscale and Nanoscale Physics
2007-05-23 v1 Strongly Correlated Electrons
Abstract
In the Majorana representation of a spin 1/2 we find an identity which relates spin-spin correlators to one-particle fermionic correlators. This should be contrasted with the straightforward approach in which two-particle (four-fermion) correlators need to be calculated. We discuss applications to the analysis of the dynamics of a spin coupled to a dissipative environment and of a quantum detector performing a continuous measurement of a qubit's state.
Cite
@article{arxiv.cond-mat/0305064,
title = {Spin-spin correlators in Majorana representation},
author = {Alexander Shnirman and Yuriy Makhlin},
journal= {arXiv preprint arXiv:cond-mat/0305064},
year = {2007}
}