Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble

• URL: http://arxiv.org/abs/2112.08169v1
• Date: Wed, 15 Dec 2021 14:41:28 GMT
• Title: Mixed states driven by Non-Hermitian Hamiltonians of a nuclear spin ensemble
• Authors: D. Cius, A. Consuelo-Leal, A. G. Araujo-Ferreira and R. Auccaise
• Abstract summary: We study the quantum dynamics of a non-interacting spin ensemble under the effect of a reservoir. We apply the framework of the non-Hermitian Hamiltonian operators.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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 ($^{31}$P) nuclei with spin $I=1/2$ 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 $z$-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.

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