NMR Multiple Quantum Coherence as simulator of one-body onedimensional dynamics
A suitable NMR experiment in a one-dimensional dipolar coupled spin system allows one to reduce the
natural many-body dynamics into effective one-body dynamics. We verify this in a polycrystalline sample of
hydroxyapatite HAp by monitoring the excitation of NMR many-body superposition states: the multiplequantum
coherences. The observed effective one-dimensionality of HAp relies on the quasi-one-dimensional structure of the dipolar coupled network that, as we show here, is dynamically enhanced by the quantum Zeno effect. Decoherence is also probed through a Loschmidt echo experiment, where the time reversal is implemented on the double-quantum Hamiltonian, HDQIi
coherences. The observed effective one-dimensionality of HAp relies on the quasi-one-dimensional
structure of the dipolar coupled network that, as we show here, is dynamically enhanced by the quantum Zeno
effect. Decoherence is also probed through a Loschmidt echo experiment, where the time reversal is implemented
on the double-quantum Hamiltonian, HDQIi
HDQIi+Ij + +Ii
Ij + +Ii−Ij − . We contrast the decoherence of adamantane, a
standard three-dimensional system, with that of HAp. While the first shows an abrupt Fermi-type decay, HAp presents a smooth exponential law.
standard three-dimensional system, with that of HAp. While the first shows an abrupt Fermi-type decay, HAp
presents a smooth exponential law.
