论文标题
相同多层系统的置换对称性：第二个量化方法
Permutational symmetry for identical multi-level systems: a second quantized approach
论文作者
论文摘要
我们开发了一个框架，该框架提供了一种直接利用相同多级系统的置换对称性的直接方法。通过考虑到置换对称性，我们概述了一个简单的方案，该方案允许将$ n $相同的$ d $级别的系统映射到带有$ n $粒子的$ d $ bosonic模式的动力学，以简单且直接的方式实现了问题维度的指数降低。特别是，我们考虑了在集体耗散术语的作用下与常见子系统相互作用的几个相同多层系统的lindblad动力学。
We develop a framework that provides a straightforward approach to fully exploit the permutational symmetry of identical multi-level systems. By taking into account the permutational symmetry, we outline a simple scheme that allows to map the dynamics of $N$ identical $d$-level systems to the dynamics of $d$ bosonic modes with $N$ particles, achieving an exponential reduction on the dimensionality of the problem in a simple and straightforward way. In particular, we consider the Lindblad dynamics of several identical multi-level systems interacting with a common subsystem under the action of collective dissipation terms.
