Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
arXiv:2112.08169 · doi:10.1103/PhysRevA.105.022212
Abstract
We study the quantum dynamics of a non-interacting spin ensemble under the effect of a reservoir by applying the framework of the non-Hermitian Hamiltonian operators. Theoretically, the two-level model describes the quantum spin system and the Bloch vector to establish the dynamical evolution. Experimentally, phosphorous (P) nuclei with spin are used to represent the two-level system and the magnetization evolution is measured and used to compare with the theoretical prediction. At room temperature, the composite dynamics of the radio-frequency pulse plus field inhomogeneities (or unknown longitudinal fluctuations) along the -axis transform the initial quantum state and drives it into a mixed state at the end of the dynamics. The experimental setup shows a higher accuracy when compared with the theoretical prediction (>98\%), ensuring the relevance and effectiveness of the non-Hermitian theory at a high-temperature regime.
arXiv comment8 pages, 4 figures
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