标题： 连续相空间方法在离散相空间上 显示英文标题

标题： Continuous phase-space methods on discrete phase spaces

摘要： 我们证明了通过离散Heisenberg-Weyl群定义的离散准概率分布可以作为连续$SU(N)$准概率分布的离散化形式。这是通过将相位点算子与相空间特殊点处的连续量子化核进行对应来实现的。作为应用，我们讨论了正-P函数，并表明其离散化可以用于处理发散轨迹的问题。我们研究了耗散的长程横向场伊辛链，并表明局部可观测量的长时间动力学可以通过相互作用的半经典近似很好地描述。 显示英文摘要

摘要： We show that discrete quasiprobability distributions defined via the discrete Heisenberg-Weyl group can be obtained as discretizations of the continuous $SU(N)$ quasiprobability distributions. This is done by identifying the phase-point operators with the continuous quantisation kernels evaluated at special points of the phase space. As an application we discuss the positive-P function and show that its discretization can be used to treat the problem of diverging trajectories. We study the dissipative long-range transverse-field Ising chain and show that the long-time dynamics of local observables is well described by a semiclassical approximation of the interactions.