弯曲时空中的量子行走:离散度规
星系天体物理
2018-06-13 v1
摘要
离散时间量子行走(QW)本质上是驱动格点上单粒子演化的酉算子。某些 QW 以熟知的物理偏微分方程作为连续极限。它们的一些轻微推广(允许先验编码与更大邻域)甚至以弯曲时空 Dirac 方程作为连续极限。在 维无质量情形中,该方程解耦为具有可调速度的标量输运方程。我们刻画并构造了所有导致具有可调速度的标量输运的 QW。局域硬币算子决定了该速度;我们提供了仅利用有限个硬币算子来调节传播速度的具体技术——不同于先前模型依赖于量子硬币的连续参数决定传播速度。此种离散化的意义有两方面:一方面便于更简易的实验实现,另一方面用于评估度量场量子化的途径。
引用
@article{arxiv.1711.04663,
title = {SMHASH: Anatomy of the Orphan Stream using RR Lyrae stars},
author = {David Hendel and Victoria Scowcroft and Kathryn V. Johnston and Mark A. Fardal and Roeland P. van der Marel and Sangmo Tony Sohn and Adrian M. Price-Whelan and Rachael L. Beaton and Gurtina Besla and Giuseppe Bono and Maria-Rosa L. Cioni and Gisella Clementini and Judith G. Cohen and Michele Fabrizio and Wendy L. Freedman and Alessia Garofalo and Carl J. Grillmair and Nitya Kallivayalil and Juna A. Kollmeier and David R. Law and Barry F. Madore and Steven R. Majewski and Massimo Marengo and Andrew J. Monson and Jillian R. Neeley and David L. Nidever and Grzegorz Pietrzyński and Mark Seibert and Branimir Sesar and Horace A. Smith and Igor Soszyński and Ian B. Thompson and Andrezej Udalski},
journal= {arXiv preprint arXiv:1711.04663},
year = {2018}
}
备注
18 pages, 10 figures. Submitted to MNRAS; comments welcome