Dynamic nuclear polarization as kinetically constrained diffusion

Abstract

Dynamic nuclear polarization (DNP) is a promising strategy for generating a significantly increased non-thermal spin polarization in nuclear magnetic resonance (NMR) applications thereby circumventing the need for strong magnetic fields. Although much explored in recent experiments, a detailed theoretical understanding of the precise mechanism behind DNP is so far lacking. We address this issue by theoretically investigating solid effect DNP in a system where a single electron is coupled to an ensemble of interacting nuclei and which can be microscopically modelled by a quantum master equation. By deriving effective equations of motion that govern the polarization dynamics we show analytically that DNP can be understood as kinetically constrained spin diffusion. On the one hand this approach provides analytical insights into the mechanism and timescales underlying DNP. On the other hand it permits the numerical study of large ensembles which are typically intractable from the perspective of a quantum master equation. This paves the way for a detailed exploration of DNP dynamics which might form the basis for future NMR applications.

13 pages, 5 figures

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Cited by in corpus (18)

• Solid effect DNP polarization dynamics in a system of many spins
• Metal Ions based Dynamic Nuclear Polarization: MI-DNP
• The role of electron polarization on nuclear spin diffusion
• Emergent kinetic constraints in open quantum systems
• Thermalization and many-body localization in systems under dynamic nuclear polarization
• Electron induced nanoscale nuclear spin relaxation probed by hyperpolarization injection
• Hydrodynamics in kinetically-constrained lattice-gas models
• Many-body kinetics of dynamic nuclear polarization by the cross effect
• Dynamic nuclear polarization and ESR hole burning in As doped silicon
• Phase transitions in electron spin resonance under continuous microwave driving
• Complete positivity violation of the reduced dynamics in higher-order quantum adiabatic elimination
• Signatures of electronic correlations and spin-susceptibility anisotropy in nuclear magnetic resonance
• An exactly solvable model for Dynamic Nuclear polarization
• Eigenstate versus Zeeman-based approaches to the solid-effect
• Simulation of pulsed dynamic nuclear polarization in the steady state
• Time-Convolutionless Master Equation Applied to Adiabatic Elimination
• Method of spectral Green functions in driven open quantum dynamics
• Entangling nuclear spins in distant quantum dots via an electron bus