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arXiv · 0706.0342

Simulations of Information Transport in Spin Chains

Paola Cappellaro·Chandrasekhar Ramanathan·David G. Cory
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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.

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Paola Cappellaro, Chandrasekhar Ramanathan, David G. Cory. 2007-06-04. Simulations of Information Transport in Spin Chains. https://doi.org/10.1103/physrevlett.99.250506

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