On quantum states for angular position and angular momentum of light

IF 2 4区物理与天体物理 Q3 OPTICS

Journal of Optics Pub Date : 2024-07-17 DOI:10.1088/2040-8986/ad5f9c

Bo-Sture K Skagerstam and Per K Rekdal

引用次数: 0

Abstract

In the present paper we construct a properly defined quantum state expressed in terms of elliptic Jacobi theta functions for the self-adjoint observables angular position θ and the corresponding angular momentum operator in units of . The quantum uncertainties Δθ and ΔL for the state are well-defined and are shown to give a lower value of the uncertainty product in contrast to the so called minimal uncertainty states as discussed in Franke-Arnold et al (2004 New J. Phys.6 103-1-8). The mean value of the state is not required to be an integer. In the case of any half-integer mean value the state constructed exhibits a remarkable critical behavior with upper and lower bounds and .

查看原文本刊更多论文

关于光的角位置和角动量的量子态

在本文中，我们构建了一个定义明确的量子态，用椭圆雅各比 Theta 函数来表示自相关观测量角位置 θ 和相应的角动量算子（单位：θ）。该态的量子不确定度 Δθ 和 ΔL 定义明确，并证明与 Franke-Arnold 等（2004 New J. Phys.6，103-1-8）中讨论的所谓最小不确定度态相比，该态的不确定度乘积值较低。状态的平均值并不需要是整数。在任何半整数均值的情况下，所构造的状态都会表现出显著的临界行为，具有上下限和。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Optics OPTICS-

CiteScore

4.50

自引率

4.80%

发文量

237

审稿时长

1.9 months

期刊介绍： Journal of Optics publishes new experimental and theoretical research across all areas of pure and applied optics, both modern and classical. Research areas are categorised as: Nanophotonics and plasmonics Metamaterials and structured photonic materials Quantum photonics Biophotonics Light-matter interactions Nonlinear and ultrafast optics Propagation, diffraction and scattering Optical communication Integrated optics Photovoltaics and energy harvesting We discourage incremental advances, purely numerical simulations without any validation, or research without a strong optics advance, e.g. computer algorithms applied to optical and imaging processes, equipment designs or material fabrication.