关于超大量子系统动力学的计算
On Calculating the Dynamics of Very Large Quantum Systems
摘要：
由于耦合量子系统的状态空间的指数增长，一般来说，在经典计算机中数字存储大量量子系统的状态是不可能的。我们展示了一种方法来模拟非常大量的相互作用的量子系统的可测量量的动力学行为。我们的方法利用了一个符号的非交换代数引擎，我们最近开发的结合著名的Eschlafest定理。在这里，我们显示的可能性，确定实验上可观察到的量的动态，没有近似，非常大量的相互作用的谐振子。我们的分析消除了以前对这个示例系统的分析中存在的大量重要约束（例如在初始状态中没有纠缠）。这种方法在模拟大型量子机器的运行、量子系统中的涌现行为、开放量子系统和量子化学等方面都有价值。
英文摘要：
Due to the exponential growth of the state space of coupled quantum systems it is not possible, in general, to numerically store the state of a very large number of quantum systems within a classical computer. We demonstrate a method for modelling the dynamical behaviour of measurable quantities for very large numbers of interacting quantum systems. Our approach makes use of a symbolic non-commutative algebra engine that we have recently developed in conjunction with the well-known Ehrenfest theorem. Here we show the possibility of determining the dynamics of experimentally observable quantities, without approximation, for very large numbers of interacting harmonic oscillators. Our analysis removes a large number of significant constraints present in previous analysis of this example system (such as having no entanglement in the initial state). This method will be of value in simulating the operation of large quantum machines, emergent behaviour in quantum systems, open quantum systems and quantum chemistry to name but a few.
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