2021/12/15 by Danilo Cius, D. Cius, A. Consuelo-Leal +2
Chemistry · Mathematics · Physics and Astronomy · #Advanced NMR Techniques and Applications #Hamiltonian (control theory) #Hermitian matrix #Magnetic field #Magnetization #Mathematics #Physics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Time evolution #quant-ph
paper · pdf · doi:10.1103/physreva.105.022212
8 pages, 4 figures
arxiv created 2021/12/15 · openalex publication_date 2022/02/22 · arxiv updated 2022/03/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 (31P) 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.