论文标题
分数Vortex Hilbert's Hotel的实验实施
Experimental Implementation of the Fractional Vortex Hilbert's Hotel
论文作者
论文摘要
希尔伯特酒店是一个古老的数学悖论，讲述了一组无限的数字。这个悖论涉及在酒店里的新客人的住宿，那里有无数居住的房间。在过去的十年中，有许多尝试在光子系统中实施这些想法。除了这个悖论吸引的基本兴趣外，这项研究还以希尔伯特酒店对量子交流和感知的影响。在这项工作中，我们通过实验证明了G. Gbur [Optica 3，222-225（2016）提出的分数Hilbert的酒店计划。更具体地说，我们使用光的光角动量进行了干涉实验，以验证希尔伯特的无限酒店悖论。在我们的实施中，宾客在新房间中的重新分配映射到通过光束拓扑充电控制的干扰条纹。
The Hilbert hotel is an old mathematical paradox about sets of infinite numbers. This paradox deals with the accommodation of a new guest in a hotel with an infinite number of occupied rooms. Over the past decade, there have been many attempts to implement these ideas in photonic systems. In addition to the fundamental interest that this paradox has attracted, this research is motivated by the implications that the Hilbert hotel has for quantum communication and sensing. In this work, we experimentally demonstrate the fractional vortex Hilbert's hotel scheme proposed by G. Gbur [Optica 3, 222-225 (2016)]. More specifically, we performed an interference experiment using the fractional orbital angular momentum of light to verify the Hilbert's infinite hotel paradox. In our implementation, the reallocation of a guest in new rooms is mapped to interference fringes that are controlled through the topological charge of an optical beam.
