论文标题
用于模拟集体自旋系统耗散性多体动力学的相位空间方法
Phase-Space Methods for Simulating the Dissipative Many-Body Dynamics of Collective Spin Systems
论文作者
论文摘要
我们描述了一种有效的数值方法，用于在存在和衰减的情况下模拟集体自旋系统的动态和稳态。该方法基于旋转操作员的Schwinger玻色子表示，并使用截短的Wigner近似的扩展，将精确的开放系统动力学映射到相应相位空间分布的随机微分方程上。这种方法在非常大的自旋量子数的极限中最有效，在非常大的自旋量子数中，精确的数值模拟和其他近似方法不再适用。我们为已知的超级衰减和自旋方形过程进行基准基准，并说明了其在耗散旋转晶格模型中对非平衡相变的模拟的应用。
We describe an efficient numerical method for simulating the dynamics and steady states of collective spin systems in the presence of dephasing and decay. The method is based on the Schwinger boson representation of spin operators and uses an extension of the truncated Wigner approximation to map the exact open system dynamics onto stochastic differential equations for the corresponding phase space distribution. This approach is most effective in the limit of very large spin quantum numbers, where exact numerical simulations and other approximation methods are no longer applicable. We benchmark this numerical technique for known superradiant decay and spin-squeezing processes and illustrate its application for the simulation of non-equilibrium phase transitions in dissipative spin lattice models.
