论文标题
时间系统纠缠和特殊相对论
Time-System Entanglement and Special Relativity
论文作者
论文摘要
我们知道，几乎在古典物理学中对空间和时间进行了同样的治疗，但我们也知道量子力学并非如此。对空间和时间的量子描述对于真正理解现实的量子性质很重要。量子时间的浏览器机制是一个有前途的起点，根据该机制，量子系统的演变是通过IT和量子时间自由度之间的纠缠来描述的。在本文中，我们考虑了一个与量子系统纠缠在一起的量子钟，这是由于洛伦兹变换引起的wigner旋转而导致的。我们研究了这个时系统纠缠如何取决于洛伦兹提升的速度。我们将具有高斯动量分布的自旋1/2粒子作为一个具体示例。我们还将时间系统的纠缠熵与自旋摩托车纠缠熵进行了比较，并发现前者比后者小。
We know that space and time are treated almost equally in classical physics, but we also know that this is not the case for quantum mechanics. A quantum description of both space and time is important to really understand the quantum nature of reality. The Page-Wootters mechanism of quantum time is a promising starting point, according to which the evolution of the quantum system is described by the entanglement between it and quantum temporal degrees of freedom. In this paper, we consider a qubit clock that is entangled with a quantum system due to the Wigner rotation induced by Lorentz transformation. We study how this time-system entanglement depends on the rapidity of the Lorentz boost. We consider the case of a spin-1/2 particle with Gaussian momentum distribution as a concrete example. We also compare the time-system entanglement entropy with the spin-momentum entanglement entropy and find that the former is smaller than the latter.
