Fate of the Landau–Yang theorem for twisted photons

doi:10.1088/2040-8986/ab491a

	Fate of the Landau–Yang theorem for twisted photons
	Ivanov,Igor P 1; Serbo,Valeriy G 2,3; Zhang,Pengming 4,5
刊名	Journal of Optics
	2019-10-16
卷号	21 期号:11
关键词	Landau–Yang theorem twisted photons optical angular momentum
ISSN号	2040-8978
DOI	10.1088/2040-8986/ab491a
英文摘要	Abstract The Landau–Yang theorem is sometimes formulated as a selection rule forbidding two real (that is, non-virtual) photons with zero total momentum to be in the state of the total angular momentum J?=?1. In this paper, we discuss whether the theorem itself and this particular formulation can be extended to a pair of two twisted photons, which carry orbital angular momentum with respect to their propagation direction. We point out possible sources of confusion, which may arise both from the unusual features of twisted photons and from the fact that usual proofs of the Landau–Yang theorem operate in the center of motion reference frame, which, strictly speaking, exists only for plane waves. We show with an explicit calculation that a pair of twisted photons does have a non-zero overlap with the J?=?1 state. What is actually forbidden is production of a spin-1 particle by such a photon pair, and in this formulation the Landau–Yang theorem is rock-solid. Although both the twisted photon pair and the spin-1 particle can exist in the J?=?1 state, these two systems just cannot be coupled in a gauge-invariant and Lorentz invariant manner respecting Bose symmetry.
语种	英语
出版者	IOP Publishing
WOS记录号	IOP:2040-8978-21-11-AB491A
内容类型	期刊论文
源URL	[http://119.78.100.186/handle/113462/141798]
专题	中国科学院近代物理研究所
作者单位	1.CFTP, Instituto Superior Tecnico, Universidade de Lisboa, Lisbon 1049-001, Portugal 2.Novosibirsk State University, 630090, Novosibirsk, Russia 3.Sobolev Institute of Mathematics, 630090, Novosibirsk, Russia 4.School of Physics and Astronomy, Sun Yat-sen University, Zhuhai 519082, People’s Republic of China 5.Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, People’s Republic of China
推荐引用方式 GB/T 7714	Ivanov,Igor P,Serbo,Valeriy G,Zhang,Pengming. Fate of the Landau–Yang theorem for twisted photons[J]. Journal of Optics,2019,21(11).
APA	Ivanov,Igor P,Serbo,Valeriy G,&Zhang,Pengming.(2019).Fate of the Landau–Yang theorem for twisted photons.Journal of Optics,21(11).
MLA	Ivanov,Igor P,et al."Fate of the Landau–Yang theorem for twisted photons".Journal of Optics 21.11(2019).