Entangling the Spatial Properties of Laser Beams
Author(s) -
K. Wagner,
Jiří Janoušek,
V. Delaubert,
Hongxin Zou,
C. C. Harb,
Nicolas Treps,
Jean François Morizur,
Ping Koy Lam,
HansA. Bachor
Publication year - 2008
Publication title -
science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 12.556
H-Index - 1186
eISSN - 1095-9203
pISSN - 0036-8075
DOI - 10.1126/science.1159663
Subject(s) - quantum entanglement , quantum metrology , physics , position (finance) , optical tweezers , quantum limit , momentum (technical analysis) , observable , limit (mathematics) , interferometry , laser , quantum mechanics , uncertainty principle , multi mode optical fiber , quantum , statistical physics , classical mechanics , optics , quantum discord , optical fiber , mathematics , mathematical analysis , finance , economics
Position and momentum were the first pair of conjugate observables explicitly used to illustrate the intricacy of quantum mechanics. We have extended position and momentum entanglement to bright optical beams. Applications in optical metrology and interferometry require the continuous measurement of laser beams, with the accuracy fundamentally limited by the uncertainty principle. Techniques based on spatial entanglement of the beams could overcome this limit, and high-quality entanglement is required. We report a value of 0.51 for inseparability and 0.62 for the Einstein-Podolsky-Rosen criterion, both normalized to a classical limit of 1. These results are a conclusive optical demonstration of macroscopic position and momentum quantum entanglement and also confirm that the resources for spatial multimode protocols are available.
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