论文标题
使用新型的Reparametrization-neutal-taparts差异差异操作员使用新型的Reparametrize-Neconal求和量量量子动力学
Trace preserving quantum dynamics using a novel reparametrization-neutral summation-by-parts difference operator
论文作者
论文摘要
我们开发了一种新型的数值方案，用于模拟从两体lindblad主方程的耗散性量子动力学。保留了所有定义林金动力学的连续性特性，墓穴，阳性，尤其是进化密度基质的痕量保守性。中心成分是一种新的空间差异操作员，它不仅可以满足部分（SBP）属性的总和，而且还实现了连续性重新分析属性。以热热介质中的重夸克抗夸克结合状态的时间演变为明确的例子，我们显示了如何逐步进行中性的中性总和（RN-SBP）操作员保留该理论的连续性。
We develop a novel numerical scheme for the simulation of dissipative quantum dynamics following from two-body Lindblad master equations. All defining continuum properties of the Lindblad dynamics, hermiticity, positivity and in particular trace conservation of the evolved density matrix are preserved. The central ingredient is a new spatial difference operator, which not only fulfils the summation by parts (SBP) property but also implements a continuum reparametrization property. Using the time evolution of a heavy-quark anti-quark bound state in a hot thermal medium as an explicit example, we show how the reparametrization neutral summation-by-parts (RN-SBP) operator preserves the continuum properties of the theory.
