Effective one-body dynamics in multiple-quantum NMR experiments

Abstract

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 multiple-quantum coherences. The observed effective one-dimensionality of HAp relies on the quasi 1d 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, I_{i,+}I_{j,+} + I_{i,-}I_{j,-}. We contrast the decoherence of adamantane, a standard 3d system, with that of HAp. While the first shows an abrupt Fermi-type decay, HAp presents a smooth exponential law.

8 pages, 6 figures

References in corpus (10)

• Coherent control of a single electron spin with electric fields
• Dynamics of Loschmidt echoes and fidelity decay
• Simulations of Information Transport in Spin Chains
• Environmentally induced Quantum Dynamical Phase Transition in the spin swapping operation
• State Transfer and Spin Measurement
• Multi-spin dynamics of the solid-state NMR Free Induction Decay
• Dynamics and Control of a Quasi-1D Spin System
• Quantum parallelism as a tool for ensemble spin dynamics calculations
• Loschmidt echo in a system of interacting electrons
• Fidelity decay in trapped Bose-Einstein condensates