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- W3184710541 abstract "A dynamic mean-field theory for spin ensembles (spinDMFT) at infinite temperatures on arbitrary lattices is established. The approach is introduced for an isotropic Heisenberg model with $S=frac{1}{2}$ and external field. For large coordination numbers, it is shown that the effect of the environment of each spin is captured by a classical time-dependent random mean field which is normally distributed. Expectation values are calculated by averaging over these mean fields, i.e., by a path integral over the normal distributions. A self-consistency condition is derived by linking the moments defining the normal distributions to spin autocorrelations. In this framework, we explicitly show how the rotating-wave approximation becomes a valid description for increasing magnetic field. We also demonstrate that the approach can easily be extended. Exemplarily, we employ it to reach a quantitative understanding of a dense ensemble of spins with dipolar interaction which are distributed randomly on a plane including static Gaussian noise as well." @default.
- W3184710541 created "2021-08-02" @default.
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- W3184710541 date "2021-12-10" @default.
- W3184710541 modified "2023-10-10" @default.
- W3184710541 title "Dynamic mean-field theory for dense spin systems at infinite temperature" @default.
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- W3184710541 doi "https://doi.org/10.1103/physrevresearch.3.043168" @default.
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