NMR multiple quantum coherences in quasi-one-dimensional spin systems: Comparison with ideal spin-chain dynamics

Abstract

The 19F spins in a crystal of fluorapatite have often been used to experimentally approximate a one-dimensional spin system. Under suitable multi-pulse control, the nuclear spin dynamics may be modeled to first approximation by a double-quantum one-dimensional Hamiltonian, which is analytically solvable for nearest-neighbor couplings. Here, we use solid-state nuclear magnetic resonance techniques to investigate the multiple quantum coherence dynamics of fluorapatite, with an emphasis on understanding the region of validity for such a simplified picture. Using experimental, numerical, and analytical methods, we explore the effects of long-range intra-chain couplings, cross-chain couplings, as well as couplings to a spin environment, all of which tend to damp the oscillations of the multiple quantum coherence signal at sufficiently long times. Our analysis characterizes the extent to which fluorapatite can faithfully simulate a one-dimensional quantum wire.

14 pages, 11 eps color figures

References in corpus (15)

• Many-Body Physics with Ultracold Gases
• Quantum Communication through Spin Chain Dynamics: an Introductory Overview
• Perfect state transfer on a spin-chain without state initialization
• Perfect State Transfer: Beyond Nearest-Neighbor Couplings
• Perfect state transfer in long-range interacting spin chains
• Simulations of Information Transport in Spin Chains
• Optimal quantum chain communication by end gates
• Multi-spin dynamics of the solid-state NMR Free Induction Decay
• Dynamics and Control of a Quasi-1D Spin System
• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Quantum Communication in Spin Systems With Long-Range Interactions
• Effective one-body dynamics in multiple-quantum NMR experiments
• Mesoscopic Phase Coherence in a Quantum Spin Fluid
• Encoding multiple quantum coherences in non-commuting bases
• Quantum Data Bus in Dipolar Coupled Nuclear Spin Qubits

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• Localization effects induced by decoherence in superpositions of many-spin quantum states
• Numerical analysis of relaxation times of multiple quantum coherences in the system with a large number of spins
• Experimental realization of the Yang-Baxter Equation via NMR interferometry
• The Loschmidt Echo as a robust decoherence quantifier for many-body systems
• Decay of spin coherences in one-dimensional spin systems
• Exploiting disorder to probe spin and energy hydrodynamics
• Prethermal quasiconserved observables in Floquet quantum systems
• Initialization and Readout of Spin Chains for Quantum Information Transport
• Operator Growth from Global Out-of-time-order Correlators
• Optimal Quench for Distance-Independent Entanglement and Maximal Block Entropy
• Uniaxial dynamical decoupling for an open quantum system
• Free induction decays in nuclear spin-1/2 lattices with small number of interacting neighbors: the cases of silicon and fluorapatite
• Robustness of spin-chain state-transfer schemes
• The multiple quantum NMR dynamics in systems of equivalent spins with the dipolar ordered initial state
• Rebuilding of destroyed spin squeezing in noisy environments
• Multiple quantum NMR of spin-carrying molecules in nanopores: high order corrections to the two-spin/two-quantum Hamiltonian
• Quantum states experimentally achieving high-fidelity transmission over a spin chain
• Many-spin entanglement in multiple quantum NMR with a dipolar ordered initial state
• One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian