Simulations of Information Transport in Spin Chains
Quantum Physics
2009-11-13 v1
Abstract
Transport of quantum information in linear spin chains has been the subject of much theoretical work. Experimental studies by nuclear spin systems in solid-state by NMR (a natural implementation of such models) is complicated since the dipolar Hamiltonian is not solely comprised of nearest-neighbor XY-Heisenberg couplings. We present here a similarity transformation between the XY-Heisenberg Hamiltonian and the grade raising Hamiltonian, an interaction which is achievable with the collective control provided by radio-frequency pulses in NMR. Not only does this second Hamiltonian allows us to simulate the information transport in a spin chain, but it also provides a means to observe its signature experimentally.
Cite
@article{arxiv.0706.0342,
title = {Simulations of Information Transport in Spin Chains},
author = {Paola Cappellaro and Chandrasekhar Ramanathan and David G. Cory},
journal= {arXiv preprint arXiv:0706.0342},
year = {2009}
}