Experimental implementation of the fractional-vortex Hilbert hotel

Chen，Xi1; Wang，Shun1; You，Chenglong2; Magaña-Loaiza，Omar S.2; Jin，Rui Bo1,3

2022-09-01

10.1103/PhysRevA.106.033521

Physical Review A   Impact Factor & Quartile

2469-9926

2469-9934

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 paper, we experimentally demonstrate the fractional-vortex Hilbert hotel scheme proposed by Gbur [Optica 3, 222 (2016)2334-253610.1364/OPTICA.3.000222]. More specifically, we performed an interference experiment using the fractional orbital angular momentum of light to verify the Hilbert 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.

SCI

English

Corresponding

National Natural Science Foundations of China["91836102","12074299","11704290"] ; Guangdong Provincial Key Laboratory[GK-LQSE202102]

Optics ; Physics

Optics ; Physics, Atomic, Molecular & Chemical

WOS:000864992300002

AMER PHYSICAL SOC

2-s2.0-85139358964

Scopus

1.Hubei Key Laboratory of Optical Information and Pattern Recognition,Wuhan Institute of Technology,Wuhan,430205,China
2.Quantum Photonics Laboratory,Department of Physics and Astronomy,Louisiana State University,Baton Rouge,70803,United States
3.Guangdong Provincial Key Laboratory of Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Chen，Xi,Wang，Shun,You，Chenglong,et al. Experimental implementation of the fractional-vortex Hilbert hotel[J]. Physical Review A,2022,106(3).

Chen，Xi,Wang，Shun,You，Chenglong,Magaña-Loaiza，Omar S.,&Jin，Rui Bo.(2022).Experimental implementation of the fractional-vortex Hilbert hotel.Physical Review A,106(3).

Chen，Xi,et al."Experimental implementation of the fractional-vortex Hilbert hotel".Physical Review A 106.3(2022).