论文标题
比较赫米尔米亚人和非省量子电动力学
Comparing Hermitian and Non-Hermitian Quantum Electrodynamics
论文作者
论文摘要
近年来,非热量子物理学在量子光学和凝结物质群落中广受欢迎,以模拟具有不同对称性的量子系统。在本文中,我们确定了一种非标准的内部产物,该产品暗示了局部电场和磁场可观察物的骨通勤关系,并导致量化电磁场的天然局部生物息肉描述。当将这种描述与替代性局部遗产描述进行比较时,在该描述中,在传统的遗产内产物下,局部光子颗粒的状态(即所谓的玻色子)是正交的,我们发现这两种方法之间存在等效性。需要仔细考虑不同描述的物理解释。 Hermitian还是非高等法院的方法更合适取决于我们要建模的情况。
In recent years, non-Hermitian quantum physics has gained a lot in popularity in the quantum optics and condensed matter communities in order to model quantum systems with varying symmetries. In this paper, we identify a non-standard inner product that implies bosonic commutator relations for local electric and magnetic field observables and leads to a natural local biorthogonal description of the quantised electromagnetic field. When comparing this description with an alternative local Hermitian description, in which the states of local photonic particles - i.e. of so-called bosons localised in position (blips) - are orthogonal under the conventional Hermitian inner product, we find that there is an equivalence between the two approaches. Careful consideration needs to be given to the physical interpretation of the different descriptions. Whether a Hermitian or a non-Hermitian approach is more suitable depends on the circumstances that we want to model.