期刊
ENTROPY
卷 24, 期 2, 页码 -出版社
MDPI
DOI: 10.3390/e24020223
关键词
two-spin systems; hyperfine interactions; symmetry-constrained dynamics; qutrit; density matrix; unitary transformation; spin polarization; probability representation; 03; 65; -w; 67; 57; Lm; 74; 20; Mn; 81P99; 81Q99; 82D40
This study investigates a system of two spins 1/2, revealing the notable symmetry properties of the corresponding Hamiltonian model and showing the characteristics of S-2. By appropriate mapping, it is possible to simulate the time evolution of a pseudo-qutrit, and investigate the dynamic similitude using two types of representation for the initial density matrix of the two spins.
We investigate a system of two identical and distinguishable spins 1/2, with a direct magnetic dipole-dipole interaction, in an external magnetic field. Constraining the hyperfine tensor to exhibit axial symmetry generates the notable symmetry properties of the corresponding Hamiltonian model. In fact, we show that the reduction of the anisotropy induces the invari S-2 invariably assumes its highest eigenvalue of 2. By means of appropriate mapping, it is then possible to choose initial density matrices of the two-spin system that evolve in such a way as to exactly simulate the time evolution of a pseudo-qutrit, in the sense that the the actual two-spin system nests the subdynamics of a qutrit regardless of the strength of the magnetic field. The occurrence of this dynamic similitude is investigated using two types of representation for the initial density matrix of the two spins. We show that the qutrit state emerges when the initial polarizations and probability vectors of the two spins are equal to each other. Further restrictions on the components of the probability vectors are reported and discussed.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据