论文标题
扭曲的量子步行，广义的狄拉克方程和费米昂加倍
Twisted quantum walks, generalised Dirac equation and Fermion doubling
论文作者
论文摘要
自引入以来，量子离散的步行者已经证明了在算法以及模拟和模拟广泛的运输现象中的应用。长期以来，它们一直被认为是DIRAC方程的离散时间和离散空间类似物，并且被用作原始的模拟量子场理论的原始性，正是由于它们的某些内部对称性。 Twisted说，在本文中，我们介绍了一个新的量子步行家族，它承认，作为连续限制，是配备了分散术语的广义迪拉克操作员。此外，能量光谱中的二次术语起着有效的质量，导致众所周知的费米昂加倍问题的正则化。
Quantum discrete-time walkers have, since their introduction, demonstrated applications in algorithmic and in modeling and simulating a wide range of transport phenomena. They have long been considered the discrete-time and discrete space analogue of the Dirac equation and have been used as a primitive to simulate quantum field theories precisely because of some of their internal symmetries. In this paper we introduce a new family of quantum walks, said twisted, which admits, as continuous limit, a generalized Dirac operator equipped with a dispersion term. Moreover, this quadratic term in the energy spectrum acts as an effective mass, leading to a regularization of the well known Fermion doubling problem.
