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- W3150269625 abstract "Abstract. The quantum state of a spin ensemble is described by a density operator, which corresponds to a point in the Liouville space of orthogonal spin operators. Valid density operators are confined to a particular region of Liouville space, which we call the physical region and which is bounded by multidimensional figures called simplexes. Each vertex of a simplex corresponds to a pure-state density operator. We provide examples for spins I=1/2, I=1, I=3/2 and for coupled pairs of spins-1/2. We use the von Neumann entropy as a criterion for hyperpolarization. It is shown that the inhomogeneous master equation for spin dynamics leads to non-physical results in some cases, a problem that may be avoided by using the Lindbladian master equation." @default.
- W3150269625 created "2021-04-13" @default.
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- W3150269625 date "2021-06-08" @default.
- W3150269625 modified "2023-10-16" @default.
- W3150269625 title "Hyperpolarization and the physical boundary of Liouville space" @default.
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- W3150269625 doi "https://doi.org/10.5194/mr-2-395-2021" @default.
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