qdmag：一个使用量子主方程模拟分子非平衡磁化的Python包
qdmag: A Python package for simulating nonequilibrium magnetization of molecules using quantum master equations
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中文总结 AI 辅助
qdmag是一个Python包，通过求解广义Lindblad量子主方程模拟分子在时变磁场中的非平衡磁化，支持高阶自旋相互作用，并实现长时间演化，为自旋动力学研究提供计算工具。
中文摘要 AI 辅助
我们介绍了qdmag，一个通过求解带有自旋-声子耦合作为耗散项的广义Lindblad量子主方程，来计算磁性分子在时变外磁场中磁化的计算工具。该包基于自旋哈密顿量形式，其中包含磁交换相互作用和零场分裂（ZFS）相互作用。支持不同类型的磁交换相互作用和最高至12阶的ZFS项，这些项以扩展Stevens算符形式书写。qdmag能够实现长达几毫秒的磁化长时间演化，这是通过对磁场随时间变化进行阶梯近似来实现的。对于高维自旋哈密顿量，会构造一个低维有效哈密顿量以使计算在计算上可行。我们展示了三个案例研究，分别涉及单自旋、双自旋和三自旋系统，以演示qdmag的使用。我们的工作提供了一个计算工具，以弥合存在自旋-声子耦合时自旋动力学的理论发展与数值计算之间的差距。
英文摘要
We present qdmag, a computational utility for calculating the magnetization of magnetic molecules in a time-varying external magnetic field by solving a generalized Lindblad quantum master equation with spin-phonon coupling treated as a dissipation term. The package relies on the spin Hamiltonian formalism, which includes both the magnetic exchange interactions and the zero-field splitting (ZFS) interaction. Different types of magnetic exchange interaction and ZFS terms up to 12th order, which are written in terms of the extended Stevens operators, are supported. qdmag enables long-time evolution of magnetization for up to a few milliseconds, which is achieved through a staircase approximation of the magnetic field as a function of time. For high-dimensional spin Hamiltonians, a lower-dimensional effective Hamiltonian is constructed to make the calculations computationally feasible. Three case studies of one-spin, two-spin, and three-spin systems are presented to demonstrate the usage of qdmag. Our work offers a computational tool to bridge the gap between theoretical development and numerical calculations of spin dynamics in the presence of spin-phonon coupling.
发表机构
- Northeastern University（东北大学）
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