量子自旋系统的半经典动力学
Semi-Classical Dynamics in Quantum Spin Systems
摘要：
我们考虑了量子自旋系统动力学演化的两个极限区域，大自旋极限和平均场极限。我们证明了，在这些限制，一类量子自旋系统的时间演化是由相应的经典自旋的哈密顿动力学。这个结果可以看作是一个Egorov型定理。我们将我们的结果推广到晶格自旋系统的热力学极限和无限大的连续域，并研究了相干自旋态在这些极限状态下的时间演化。
英文摘要：
We consider two limiting regimes, the large-spin and the mean-field limit, for the dynamical evolution of quantum spin systems. We prove that, in these limits, the time evolution of a class of quantum spin systems is determined by a corresponding Hamiltonian dynamics of classical spins. This result can be viewed as a Egorov-type theorem. We extend our results to the thermodynamic limit of lattice spin systems and continuum domains of infinite size, and we study the time evolution of coherent spin states in these limiting regimes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
